graph (t) = e^tsinti + e^tcostj + e^tk in matlab in matlab

To graph the vector-valued function V(t) = e^tsin(t)i + e^tcos(t)j + e^t*k in MATLAB, you can use the following code:

main.m
t = 0:0.01:10;  % Define the range of t values
V = @(t) [exp(t).*sin(t); exp(t).*cos(t); exp(t)];  % Define the vector-valued function V(t)

% Evaluate the function for the given range of t values
V_values = V(t);

% Plotting the graph
figure;
plot3(V_values(1,:), V_values(2,:), V_values(3,:));
xlabel('x-axis');
ylabel('y-axis');
zlabel('z-axis');
title('Graph of V(t) = e^t*sin(t)i + e^t*cos(t)j + e^t*k');
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You can copy this code into a MATLAB script or the MATLAB command window to visualize the graph of the vector-valued function V(t) in 3D.

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