= 1. Consider f(z) Logz, where 1|2| ≤ 2 and 0 < Arg z <. Find the maximum and minimum values of || and determine where these values occur.

Q: Instructions: *Do not Use AI. (Solve by yourself, hand written preferred) * Give appropriate graphs…

A: REQUIRED CODE:from scipy.ndimage import convolve1d # Define Gaussian functions f and g x_vals =…

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A: So:x1​ = 0.5x2​ = 3.5x3 = −0.375I hope this is helpful.

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A: Step 1:Question 5:We are given:f(x)=x2+41​and we need to find the value of f(1)⋅f(−1).Calculate…

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A: I hope this is helpful.

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A: Step 1: Given that, solve the given matrix-vector equation using the inverse of matrix A.…

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Q: Instructions: *Do not Use AI. (Solve by yourself, hand written preferred) * Give appropriate graphs…

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A: Step 1:Step 2:Step 3:Step 4:

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A: In multiplying two 2×2 matrices, such that:A=[wy​xz​],B=[ac​bd​] the resulting product AB can be…

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A: Use this python code:# Re-plot the original vectors and their images under the duality mapping…

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A: Required code:# Define the sequence x_n = (1/n, 0) in ℝ² n_values = np.arange(1, 21) # n from 1 to…

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Q: Instructions: *Do not Use AI. (Solve by yourself, hand written preferred) * Give appropriate graphs…

A: Required code:# Define the functions u(x) = 2x and v(x) = 1 - x over the interval [0,1] u_vals = 2 *…

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Q: Solve the 1-dimensional heat equation problem. ди J²u = Ət მე2 ди ди (0, t) = (1,t) = 0, for t> 0 Əx…

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