The following equation can be used to compute values of y as a function of x: y = beasin (bx) (0.0012x4 -0.15x³ +0.075x² +2.5x) where a and b are parameters. (a) Write Python code to compute a vector y for a = 2, b = 5, and x as a vector with values from 0 to π/2 in increments Ax = π/40. (b) Compute the vector z = y² with element-by-element-wise operations. (c) Combine x, y, and zinto a 3-column matrix W.(Hint use np.hstack function) (d) Generate a plot of y and z versus x. Include a title, axis labels, and a legend. For the y versus x curve, format a solid blue line. For the z versus x curve, choose a magenta dashed line. Include grid lines.

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The following equation can be used to compute values of y as a function of x:
y=be¯ªsin(bx) (0.0012x¹ −0.15x³ +0.075x² +2.5x)
where a and b are parameters.
(a) Write Python code to compute a vector y for a = 2, b = 5, and x as a vector with values from 0 to
π/2 in increments Ax= π/40.
(b) Compute the vector z = y² with element-by-element-wise operations.
(c) Combine x, y, and zinto a 3-column matrix W.(Hint use np. hstack function)
(d) Generate a plot of y and z versus x. Include a title, axis labels, and a legend. For the y versus x
curve, format a solid blue line. For the z versus x curve, choose a magenta dashed line. Include grid
lines.
Transcribed Image Text:The following equation can be used to compute values of y as a function of x: y=be¯ªsin(bx) (0.0012x¹ −0.15x³ +0.075x² +2.5x) where a and b are parameters. (a) Write Python code to compute a vector y for a = 2, b = 5, and x as a vector with values from 0 to π/2 in increments Ax= π/40. (b) Compute the vector z = y² with element-by-element-wise operations. (c) Combine x, y, and zinto a 3-column matrix W.(Hint use np. hstack function) (d) Generate a plot of y and z versus x. Include a title, axis labels, and a legend. For the y versus x curve, format a solid blue line. For the z versus x curve, choose a magenta dashed line. Include grid lines.
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