Question

1. (44 points): Given the equations u, v, and w: create a function file that has u, v, and was outputs and for inputs b and t. Given that t is osts with At = and bis 10 < b < 30 with Ab = 1. Plot the results of u vs. v vs. w all on the same 3D plot. (Hint: Use a for loop to call the function file and have the outputs of the function file in the main file be a matrix with the number of rows the length of t and the number of columns being the length of b) u = sin(t) * cos(bet) v = sin(t) = sin(bt) w = cos(t) 2. (53 points): Repeat problem 1 but in the function file replace u, y, and w with class 1 functions.

in matlab please

Answer 1

%please ask 1 question at a time

%script

t=0:pi/500:pi;
b=10:1:30;
u=zeros(length(t),length(b));
v=zeros(length(t),length(b));
w=zeros(length(t),length(b));
for i=1:length(t)
for j=1:length(b)
[u(i,j),v(i,j),w(i,j)]=getUVW(b(j),t(i));
end
end
mesh(u,v,w)

%function

function [u,v,w]=getUVW(b,t)
u=sin(t)*cos(b*t);
v=sin(t)*sin(b*t);
w=cos(t);
end

%generated plot

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