Compute the value of the function y = xe-x cos (2x) when x = 10. 2....

   

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Compute the value of the function y = x¹e-³x cos (2x) when x = 10. 2. MATRICES (a) Construct a matrix A, where A = 1 3 5 7) 10 8 6 4 2 4 68 3 5 7 9, (b) Construct matrix Bfrom A, where Btakes only the third and fourth columns of the first and second rows. 3. VECTOR AND MATRIX (a) Construct a vector vsuch that v(n) = 15e "cos(0.125лn) (b) Generate a 5 x 5 matrix Mwith elements x = 1 to 5 M (x, y) = x²y You can only use one line to complete the task. n = 0, 1, 2, 3, ..., 20 4. LOOPS (a) Using FOR loops, generate a 6 x 6 matrix with elements (x, y= 1 to 6) Y(x, y) = 2x + y² (b) Using WHILE Loops to compute the value of 2023 Fall i=20,j=5 Σ i+2j i=0,j=0 5. PLOT (a) Plot y(t) and z(t) on the same graph, for 1st≤5 (with 1000 data points), such that y(t) = 3e-0.5t cos(x²) z(t) = 2-y(t) (b) Plot the following four signals on the same graph (set the step size to 0.2) a(t₁) = 1 + t b(1₂) = cos(2₂) c(13) = (2+)² d(14) = 514-8 a с b d ,-5 <t₁ <5 ,0</2₂ < 10 ,2 <13<30 ,-100 < 14 < 100 6. FUNCTION Given that y(t) = 3e-05 tcos(²), 1 < t < 5 (step = 0.02) Write a function "new_plot" to ploty(t-to) as well as the original y(t). Use the function to plot y(t-0.5). The output argument of the function should be the average difference of the two signals. Compute the value of the function y = x¹e-³x cos (2x) when x = 10. 2. MATRICES (a) Construct a matrix A, where A = 1 3 5 7) 10 8 6 4 2 4 68 3 5 7 9, (b) Construct matrix Bfrom A, where Btakes only the third and fourth columns of the first and second rows. 3. VECTOR AND MATRIX (a) Construct a vector vsuch that v(n) = 15e "cos(0.125лn) (b) Generate a 5 x 5 matrix Mwith elements x = 1 to 5 M (x, y) = x²y You can only use one line to complete the task. n = 0, 1, 2, 3, ..., 20 4. LOOPS (a) Using FOR loops, generate a 6 x 6 matrix with elements (x, y= 1 to 6) Y(x, y) = 2x + y² (b) Using WHILE Loops to compute the value of 2023 Fall i=20,j=5 Σ i+2j i=0,j=0 5. PLOT (a) Plot y(t) and z(t) on the same graph, for 1st≤5 (with 1000 data points), such that y(t) = 3e-0.5t cos(x²) z(t) = 2-y(t) (b) Plot the following four signals on the same graph (set the step size to 0.2) a(t₁) = 1 + t b(1₂) = cos(2₂) c(13) = (2+)² d(14) = 514-8 a с b d ,-5 <t₁ <5 ,0</2₂ < 10 ,2 <13<30 ,-100 < 14 < 100 6. FUNCTION Given that y(t) = 3e-05 tcos(²), 1 < t < 5 (step = 0.02) Write a function "new_plot" to ploty(t-to) as well as the original y(t). Use the function to plot y(t-0.5). The output argument of the function should be the average difference of the two signals.

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