Tag Archives: matlab
Matrix of fading colors
I’m trying to make a 256×256 matrix of colors fading into each other. The top left corner is red, the top right is purple, the bottom right is blue, and the bottom left is green. The blue and the red fade into each other, which is easy to figure out. The problem is the green fades out radially, in both directions, and I can’t get my image to do that. My code so far is:
mat3d(:,:,1) = zeros(256,256);
mat3d(:,:,2) = zeros(256,256);
mat3d(:,:,3) = zeros(256,256);
increase = linspace(0,1,256);
decrease = linspace(1,0,256);
for i = 1:256
mat3d(i,:,1) = decrease(i);
mat3d(:,i,3) = increase(i);
for j = 1:256
dist = sqrt((256-i)^2+(256-j)^2);
end
end
I can’t figure out how to write the last for loop.I’m trying to make a 256×256 matrix of colors fading into each other. The top left corner is red, the top right is purple, the bottom right is blue, and the bottom left is green. The blue and the red fade into each other, which is easy to figure out. The problem is the green fades out radially, in both directions, and I can’t get my image to do that. My code so far is:
mat3d(:,:,1) = zeros(256,256);
mat3d(:,:,2) = zeros(256,256);
mat3d(:,:,3) = zeros(256,256);
increase = linspace(0,1,256);
decrease = linspace(1,0,256);
for i = 1:256
mat3d(i,:,1) = decrease(i);
mat3d(:,i,3) = increase(i);
for j = 1:256
dist = sqrt((256-i)^2+(256-j)^2);
end
end
I can’t figure out how to write the last for loop. I’m trying to make a 256×256 matrix of colors fading into each other. The top left corner is red, the top right is purple, the bottom right is blue, and the bottom left is green. The blue and the red fade into each other, which is easy to figure out. The problem is the green fades out radially, in both directions, and I can’t get my image to do that. My code so far is:
mat3d(:,:,1) = zeros(256,256);
mat3d(:,:,2) = zeros(256,256);
mat3d(:,:,3) = zeros(256,256);
increase = linspace(0,1,256);
decrease = linspace(1,0,256);
for i = 1:256
mat3d(i,:,1) = decrease(i);
mat3d(:,i,3) = increase(i);
for j = 1:256
dist = sqrt((256-i)^2+(256-j)^2);
end
end
I can’t figure out how to write the last for loop. images, colors, fading colors, script MATLAB Answers — New Questions
System Generator for DSP 14.7 is only compatible with MATLAB 2013b?
https://www.xilinx.com/support/answers/17966.html
According to Xilinx AR# 17966
DSP Tools, System Generator for DSP, AccelDSP – Which versions of System Generator for DSP and AccelDSP synthesis tool are compatible with which versions of ISE design tools and MATLAB
It says System Generator for DSP 14.7 is only compatible with MATLAB 2013b?
Is this true?
System Generator for DSP 14.7
Operating System Support:
Windows 7 Professional
Windows XP Professional
Windows Server 2008 (64-bit)
Red Hat Enterprise 6 Workstation
Red Hat Enterprise 5 Workstation
SUSE Linux Enterprise 11
Support for 32-bit and 64-bit on all OS
Required:
ISE Design Suite 14.7 System Edition
MATLAB 2012a, 2012b, 2013a and 2013b from the MathWorks (requires Simulink Fixed-Point Toolbox for bus-widths greater than 53 bits)
Optional:
Synopsys Synplify Pro H-2013.03
Mentor Graphics ModelSim 10.1bhttps://www.xilinx.com/support/answers/17966.html
According to Xilinx AR# 17966
DSP Tools, System Generator for DSP, AccelDSP – Which versions of System Generator for DSP and AccelDSP synthesis tool are compatible with which versions of ISE design tools and MATLAB
It says System Generator for DSP 14.7 is only compatible with MATLAB 2013b?
Is this true?
System Generator for DSP 14.7
Operating System Support:
Windows 7 Professional
Windows XP Professional
Windows Server 2008 (64-bit)
Red Hat Enterprise 6 Workstation
Red Hat Enterprise 5 Workstation
SUSE Linux Enterprise 11
Support for 32-bit and 64-bit on all OS
Required:
ISE Design Suite 14.7 System Edition
MATLAB 2012a, 2012b, 2013a and 2013b from the MathWorks (requires Simulink Fixed-Point Toolbox for bus-widths greater than 53 bits)
Optional:
Synopsys Synplify Pro H-2013.03
Mentor Graphics ModelSim 10.1b https://www.xilinx.com/support/answers/17966.html
According to Xilinx AR# 17966
DSP Tools, System Generator for DSP, AccelDSP – Which versions of System Generator for DSP and AccelDSP synthesis tool are compatible with which versions of ISE design tools and MATLAB
It says System Generator for DSP 14.7 is only compatible with MATLAB 2013b?
Is this true?
System Generator for DSP 14.7
Operating System Support:
Windows 7 Professional
Windows XP Professional
Windows Server 2008 (64-bit)
Red Hat Enterprise 6 Workstation
Red Hat Enterprise 5 Workstation
SUSE Linux Enterprise 11
Support for 32-bit and 64-bit on all OS
Required:
ISE Design Suite 14.7 System Edition
MATLAB 2012a, 2012b, 2013a and 2013b from the MathWorks (requires Simulink Fixed-Point Toolbox for bus-widths greater than 53 bits)
Optional:
Synopsys Synplify Pro H-2013.03
Mentor Graphics ModelSim 10.1b simulink MATLAB Answers — New Questions
App Designer UIAxes Interactions not working when UIFigure WindowButtonMotion callback set
I want to use the WindowButtonMotion callback to produce a ‘hover’ effect on various images that I’m using as buttons on an App I’m designing, but it looks like just turning on the UIFigure’s WindowButtonMotion callback completely disables interactivity (pan, rotate, etc.) with the UIAxes. I have a surface plot showing a 3D render of the data the user is visualizing, but it becomes completely non-interactive when I use buttonmotion callbacks to track mouse movements for the mouse hover.
I’ve tried various ways to get around this, including setting the UIAxes.View property as a function of mouse positions when the mouse is within the UIAxes, but this seems really clunky, and I can’t seem to work out how to ‘click & drag’ to interact with the surface plot correctly.
Any solutions to re-enable plot interactions? I’m working on Matlab 2019a.I want to use the WindowButtonMotion callback to produce a ‘hover’ effect on various images that I’m using as buttons on an App I’m designing, but it looks like just turning on the UIFigure’s WindowButtonMotion callback completely disables interactivity (pan, rotate, etc.) with the UIAxes. I have a surface plot showing a 3D render of the data the user is visualizing, but it becomes completely non-interactive when I use buttonmotion callbacks to track mouse movements for the mouse hover.
I’ve tried various ways to get around this, including setting the UIAxes.View property as a function of mouse positions when the mouse is within the UIAxes, but this seems really clunky, and I can’t seem to work out how to ‘click & drag’ to interact with the surface plot correctly.
Any solutions to re-enable plot interactions? I’m working on Matlab 2019a. I want to use the WindowButtonMotion callback to produce a ‘hover’ effect on various images that I’m using as buttons on an App I’m designing, but it looks like just turning on the UIFigure’s WindowButtonMotion callback completely disables interactivity (pan, rotate, etc.) with the UIAxes. I have a surface plot showing a 3D render of the data the user is visualizing, but it becomes completely non-interactive when I use buttonmotion callbacks to track mouse movements for the mouse hover.
I’ve tried various ways to get around this, including setting the UIAxes.View property as a function of mouse positions when the mouse is within the UIAxes, but this seems really clunky, and I can’t seem to work out how to ‘click & drag’ to interact with the surface plot correctly.
Any solutions to re-enable plot interactions? I’m working on Matlab 2019a. appdesigner, uiaxes, interactions, pan, zoom, windowbuttonmotion, 3drotate, callback events MATLAB Answers — New Questions
Limit angle in [-90, 90] degree
As I was using ode45 to solve ODEs, I do not know to limit the result in [-90,90] degree. Anyone may provide some help?As I was using ode45 to solve ODEs, I do not know to limit the result in [-90,90] degree. Anyone may provide some help? As I was using ode45 to solve ODEs, I do not know to limit the result in [-90,90] degree. Anyone may provide some help? ode45, angle MATLAB Answers — New Questions
simulation does not work
Check your internet connection and proxy settings in MATLAB Web preferences and then try starting the feature again.
Detailed information:
Error code: -202
Error message: ERR_CERT_AUTHORITY_INVALIDCheck your internet connection and proxy settings in MATLAB Web preferences and then try starting the feature again.
Detailed information:
Error code: -202
Error message: ERR_CERT_AUTHORITY_INVALID Check your internet connection and proxy settings in MATLAB Web preferences and then try starting the feature again.
Detailed information:
Error code: -202
Error message: ERR_CERT_AUTHORITY_INVALID authority MATLAB Answers — New Questions
how to convert a monochrome image of depth 24 bits into a monochrome image of depth 8 bits ?
this is to convert a monochrome image of depth 24 bits into a monochrome image of depth 8 bits ?this is to convert a monochrome image of depth 24 bits into a monochrome image of depth 8 bits ? this is to convert a monochrome image of depth 24 bits into a monochrome image of depth 8 bits ? converstion of 24 bits to 8 bits depth MATLAB Answers — New Questions
How do I convert table data to double to manipulate them?
I extract data from a table. When I retrieve an element, it is in table format, but I encounter an error when attempting to perform operations like multiplication. Is there a direct command or a series of steps to address this issue?I extract data from a table. When I retrieve an element, it is in table format, but I encounter an error when attempting to perform operations like multiplication. Is there a direct command or a series of steps to address this issue? I extract data from a table. When I retrieve an element, it is in table format, but I encounter an error when attempting to perform operations like multiplication. Is there a direct command or a series of steps to address this issue? table2array MATLAB Answers — New Questions
Reading image into 16 bit signed int
Hello,
How do I read an image into 16 bit signed integer array?
I tried using im2int16 in-built function, but I do not have Image Processing Toolbox. Please let me know if there is any other way to do it.
Also what is the difference between signed integer and double?
Thank you.Hello,
How do I read an image into 16 bit signed integer array?
I tried using im2int16 in-built function, but I do not have Image Processing Toolbox. Please let me know if there is any other way to do it.
Also what is the difference between signed integer and double?
Thank you. Hello,
How do I read an image into 16 bit signed integer array?
I tried using im2int16 in-built function, but I do not have Image Processing Toolbox. Please let me know if there is any other way to do it.
Also what is the difference between signed integer and double?
Thank you. image processing, digital image processing MATLAB Answers — New Questions
Variables cannot be recognized in app designer
I wrote a program in a script and it works, but it doesn’t work in app designer. The unrecognizable code is shown below (a part of the calling function). Thank you very much for your time.I wrote a program in a script and it works, but it doesn’t work in app designer. The unrecognizable code is shown below (a part of the calling function). Thank you very much for your time. I wrote a program in a script and it works, but it doesn’t work in app designer. The unrecognizable code is shown below (a part of the calling function). Thank you very much for your time. appdesigner MATLAB Answers — New Questions
How to change the rigid transform parameters between two frames during simulation in MultiBody Simscape?
Hi, is there any way how to change the rigid transform parameters between two frames during simulation in MultiBody Simscape? Ideally, I would need a rigid transform block containing a signal input to change the translational offset. I tried to set the offset as a parameter but I couldn’t figure out how to update it during simulation, let’s say using an S-function. Or is there any other trick I could use? Thank you!Hi, is there any way how to change the rigid transform parameters between two frames during simulation in MultiBody Simscape? Ideally, I would need a rigid transform block containing a signal input to change the translational offset. I tried to set the offset as a parameter but I couldn’t figure out how to update it during simulation, let’s say using an S-function. Or is there any other trick I could use? Thank you! Hi, is there any way how to change the rigid transform parameters between two frames during simulation in MultiBody Simscape? Ideally, I would need a rigid transform block containing a signal input to change the translational offset. I tried to set the offset as a parameter but I couldn’t figure out how to update it during simulation, let’s say using an S-function. Or is there any other trick I could use? Thank you! rigid transform, multibody simscape, update transform parameters MATLAB Answers — New Questions
How can I draw NSIDC’s Polar Stereographic Projection use M_Map
When I use the m_map toolkit to draw polar stereographic projections, how do I set up the projection information to get NSIDC’s Polar Stereographic Projection(EPSG:3411)。
This is how I currently have it set up, but it’s not clear if there is a bias:
m_proj(‘azimuthal equal-area’,’latitude’,90,’longitude’,-45,’radius’,45,’rectbox’,’on’);
Can m_map be used in conjunction with PROJ4?
For example using PROJ4:+proj=stere +lat_0=90 +lat_ts=70 +lon_0=-45 +k=1 +x_0=0 +y_0=0 +a=6378273 +b=6356889.449 +units=m +no_defsWhen I use the m_map toolkit to draw polar stereographic projections, how do I set up the projection information to get NSIDC’s Polar Stereographic Projection(EPSG:3411)。
This is how I currently have it set up, but it’s not clear if there is a bias:
m_proj(‘azimuthal equal-area’,’latitude’,90,’longitude’,-45,’radius’,45,’rectbox’,’on’);
Can m_map be used in conjunction with PROJ4?
For example using PROJ4:+proj=stere +lat_0=90 +lat_ts=70 +lon_0=-45 +k=1 +x_0=0 +y_0=0 +a=6378273 +b=6356889.449 +units=m +no_defs When I use the m_map toolkit to draw polar stereographic projections, how do I set up the projection information to get NSIDC’s Polar Stereographic Projection(EPSG:3411)。
This is how I currently have it set up, but it’s not clear if there is a bias:
m_proj(‘azimuthal equal-area’,’latitude’,90,’longitude’,-45,’radius’,45,’rectbox’,’on’);
Can m_map be used in conjunction with PROJ4?
For example using PROJ4:+proj=stere +lat_0=90 +lat_ts=70 +lon_0=-45 +k=1 +x_0=0 +y_0=0 +a=6378273 +b=6356889.449 +units=m +no_defs m_map, nsidc’s polar stereographic projection, proj4 MATLAB Answers — New Questions
HOW TO Get Roadrunner license?
I follow the instruction of https://ww2.mathworks.cn/matlabcentral/answers/533728-roadrunner to find the license of Roadrunner, but there is only MATLAB in my license list.
Then I tried to get a trial in https://ww2.mathworks.cn/products/roadrunner.html , but after 48 hours, nobody contacted me through my email.
I want to know how to get the license of Roadrunner and its installation, please.I follow the instruction of https://ww2.mathworks.cn/matlabcentral/answers/533728-roadrunner to find the license of Roadrunner, but there is only MATLAB in my license list.
Then I tried to get a trial in https://ww2.mathworks.cn/products/roadrunner.html , but after 48 hours, nobody contacted me through my email.
I want to know how to get the license of Roadrunner and its installation, please. I follow the instruction of https://ww2.mathworks.cn/matlabcentral/answers/533728-roadrunner to find the license of Roadrunner, but there is only MATLAB in my license list.
Then I tried to get a trial in https://ww2.mathworks.cn/products/roadrunner.html , but after 48 hours, nobody contacted me through my email.
I want to know how to get the license of Roadrunner and its installation, please. roadrunner, license MATLAB Answers — New Questions
What is the multiplier in the “tank” section of the Reverberator system object
Hi there, I’m looking into the Reverberator system object to see how we can use it to produce a controlled IR with a known RT per frequency.
In the Algorithm section of the Mathworks help on the object, there is a "tank" sub-section. We would like to know why the output signal is multiplied by 0.6? There’s no reasoning behind this in the documentation, perhaps it is obvious, but I don’t want to make assumptions.
If someone could explain this multiplication factor that would be most helpful.
Many thanks.Hi there, I’m looking into the Reverberator system object to see how we can use it to produce a controlled IR with a known RT per frequency.
In the Algorithm section of the Mathworks help on the object, there is a "tank" sub-section. We would like to know why the output signal is multiplied by 0.6? There’s no reasoning behind this in the documentation, perhaps it is obvious, but I don’t want to make assumptions.
If someone could explain this multiplication factor that would be most helpful.
Many thanks. Hi there, I’m looking into the Reverberator system object to see how we can use it to produce a controlled IR with a known RT per frequency.
In the Algorithm section of the Mathworks help on the object, there is a "tank" sub-section. We would like to know why the output signal is multiplied by 0.6? There’s no reasoning behind this in the documentation, perhaps it is obvious, but I don’t want to make assumptions.
If someone could explain this multiplication factor that would be most helpful.
Many thanks. reverberator, signal processing, audio toolbox MATLAB Answers — New Questions
All pins reserved by servo. I cant use a DC motor at the same time.
Hi everyone, I have just started to use MATLAB with arduino for a university project.
I’m trying to use both a servo and a DC motor with an arduino, but when I initialise the servo motor, all the pins (or at least the PWM ones) become reserved to the servo.
a = arduino(‘COM4’, ‘Uno’, ‘Libraries’, ‘Servo’)
s = servo(a, ‘D11’, ‘MinPulseDuration’, 0.00055, ‘MaxPulseDuration’, 0.0024)
writePWMDutyCycle(a, "D9", 1)
The error I get is:
"Digital pin D9 is reserved by Servo in ‘Reserved’ mode. To change the pin configuration, clear all variables holding onto this resource."
I have tried other pins, but they are all reserved. If i don’t initialise the servo, it works.
How can I reserve just one pin for the servo and not all of them?
ThanksHi everyone, I have just started to use MATLAB with arduino for a university project.
I’m trying to use both a servo and a DC motor with an arduino, but when I initialise the servo motor, all the pins (or at least the PWM ones) become reserved to the servo.
a = arduino(‘COM4’, ‘Uno’, ‘Libraries’, ‘Servo’)
s = servo(a, ‘D11’, ‘MinPulseDuration’, 0.00055, ‘MaxPulseDuration’, 0.0024)
writePWMDutyCycle(a, "D9", 1)
The error I get is:
"Digital pin D9 is reserved by Servo in ‘Reserved’ mode. To change the pin configuration, clear all variables holding onto this resource."
I have tried other pins, but they are all reserved. If i don’t initialise the servo, it works.
How can I reserve just one pin for the servo and not all of them?
Thanks Hi everyone, I have just started to use MATLAB with arduino for a university project.
I’m trying to use both a servo and a DC motor with an arduino, but when I initialise the servo motor, all the pins (or at least the PWM ones) become reserved to the servo.
a = arduino(‘COM4’, ‘Uno’, ‘Libraries’, ‘Servo’)
s = servo(a, ‘D11’, ‘MinPulseDuration’, 0.00055, ‘MaxPulseDuration’, 0.0024)
writePWMDutyCycle(a, "D9", 1)
The error I get is:
"Digital pin D9 is reserved by Servo in ‘Reserved’ mode. To change the pin configuration, clear all variables holding onto this resource."
I have tried other pins, but they are all reserved. If i don’t initialise the servo, it works.
How can I reserve just one pin for the servo and not all of them?
Thanks arduino, servomotor, dc, dc motor, servo, servo motor, pwm pins, power_electronics_control, electric_motor_control, power_conversion_control MATLAB Answers — New Questions
How can I save a 32 bit image (uint32) as a tiff?
Hello,
I am currently working on a post processing HDR script which requires that I use a 32 bit data type. The images start at 14 bit, once they are imported I convert them to int32, and after I do my calculations I convert them back to uint32. After I create my HDR image the max pixel value is about 181,000 counts. I am currently using,
imwrite(FinalImage, ‘HDR Result.tif’)
which works for 16 bit images, but does not seem to work for 32 bit images. If you could give me any help or insight I would greatly appreciate it.
Thank you,
JasonHello,
I am currently working on a post processing HDR script which requires that I use a 32 bit data type. The images start at 14 bit, once they are imported I convert them to int32, and after I do my calculations I convert them back to uint32. After I create my HDR image the max pixel value is about 181,000 counts. I am currently using,
imwrite(FinalImage, ‘HDR Result.tif’)
which works for 16 bit images, but does not seem to work for 32 bit images. If you could give me any help or insight I would greatly appreciate it.
Thank you,
Jason Hello,
I am currently working on a post processing HDR script which requires that I use a 32 bit data type. The images start at 14 bit, once they are imported I convert them to int32, and after I do my calculations I convert them back to uint32. After I create my HDR image the max pixel value is about 181,000 counts. I am currently using,
imwrite(FinalImage, ‘HDR Result.tif’)
which works for 16 bit images, but does not seem to work for 32 bit images. If you could give me any help or insight I would greatly appreciate it.
Thank you,
Jason hdr, imwrite, tiff MATLAB Answers — New Questions
Is there an option to avoid generating translations in the generated code from a Simulink Model that is created by importing an arxml with Interfaces Mapped to COMPU METTHODS?
I have generated a simulink model from an arxml , that has the interfaces associated with Application Data types and Compu methods.
Added the following logic shown here. Is there a way to avoid the translation that is generated in the code.I have generated a simulink model from an arxml , that has the interfaces associated with Application Data types and Compu methods.
Added the following logic shown here. Is there a way to avoid the translation that is generated in the code. I have generated a simulink model from an arxml , that has the interfaces associated with Application Data types and Compu methods.
Added the following logic shown here. Is there a way to avoid the translation that is generated in the code. autosar compu methods MATLAB Answers — New Questions
matlab code for spectrum sensing in cognitive radio
i am doing my thesis on cognitive radios.so ,i need matlab code for spectrum sensingi am doing my thesis on cognitive radios.so ,i need matlab code for spectrum sensing i am doing my thesis on cognitive radios.so ,i need matlab code for spectrum sensing cognitive radio, spectrum sensing MATLAB Answers — New Questions
Best Text/number location on the plot
Hello,
I want to generate the values of x on each subplot and i was wondering if there is a way to get the text or numbers placed in ‘best’ location than specifying (x,y) coordinates for the text location.
x(1) on plot 1
x(2) on plot 2 etc inside a forloop
thank you
danHello,
I want to generate the values of x on each subplot and i was wondering if there is a way to get the text or numbers placed in ‘best’ location than specifying (x,y) coordinates for the text location.
x(1) on plot 1
x(2) on plot 2 etc inside a forloop
thank you
dan Hello,
I want to generate the values of x on each subplot and i was wondering if there is a way to get the text or numbers placed in ‘best’ location than specifying (x,y) coordinates for the text location.
x(1) on plot 1
x(2) on plot 2 etc inside a forloop
thank you
dan add text, forloop MATLAB Answers — New Questions
Normalizing by means of zero-mean
Hello friends,
I am working on retinal images and need to make them standard before processing, because some images are dark others are very light. So before processing I am doing the following:
gemiddeld=mean2(DOG)
standaard_afwyking=std2(DOG)
NormalizedArray = (DOG-gemiddeld) ./ standaard_afwyking;
NormalizedArray =((NormalizedArray + 3)./ 6).*255
figure,imshow(NormalizedArray);
This is not working, because the output is just a blank white image.How can I fix this?Hello friends,
I am working on retinal images and need to make them standard before processing, because some images are dark others are very light. So before processing I am doing the following:
gemiddeld=mean2(DOG)
standaard_afwyking=std2(DOG)
NormalizedArray = (DOG-gemiddeld) ./ standaard_afwyking;
NormalizedArray =((NormalizedArray + 3)./ 6).*255
figure,imshow(NormalizedArray);
This is not working, because the output is just a blank white image.How can I fix this? Hello friends,
I am working on retinal images and need to make them standard before processing, because some images are dark others are very light. So before processing I am doing the following:
gemiddeld=mean2(DOG)
standaard_afwyking=std2(DOG)
NormalizedArray = (DOG-gemiddeld) ./ standaard_afwyking;
NormalizedArray =((NormalizedArray + 3)./ 6).*255
figure,imshow(NormalizedArray);
This is not working, because the output is just a blank white image.How can I fix this? zero-mean on images MATLAB Answers — New Questions
fill area between two polar curves
Hello , i have these two formulas, i would like to fill the area between these two curves
is there a way to do it with patch command?
Thanks
<</matlabcentral/answers/uploaded_files/70181/Capture.JPG>>
phi=0.87*sin((log(r)*pi)/(log(tau)));
phi_shifted_45=0.87*sin((log(r)*pi)/(log(tau)))+0.78;Hello , i have these two formulas, i would like to fill the area between these two curves
is there a way to do it with patch command?
Thanks
<</matlabcentral/answers/uploaded_files/70181/Capture.JPG>>
phi=0.87*sin((log(r)*pi)/(log(tau)));
phi_shifted_45=0.87*sin((log(r)*pi)/(log(tau)))+0.78; Hello , i have these two formulas, i would like to fill the area between these two curves
is there a way to do it with patch command?
Thanks
<</matlabcentral/answers/uploaded_files/70181/Capture.JPG>>
phi=0.87*sin((log(r)*pi)/(log(tau)));
phi_shifted_45=0.87*sin((log(r)*pi)/(log(tau)))+0.78; patch between polar curves MATLAB Answers — New Questions