Find the convolution of (a) 2tu(t) and t³u(t) (b) eu(t) and tu(t) (c) e2tu(t) and etu(t). Answers 1. (a) 11/15 (b) -t - 1+ e² (c) et - e-2t

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

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A: Given: (-3x2+5x-2)-2(x2-2x-1)

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Q: (c) Write (V3+ i)" in the form of x+ iy.

A: Here I have applied De Moivre's Theorem. See the solution.

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Q: V(X) = i

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A: We have to factor out 0.5 and -24

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A:

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Q: Solve for z: (a) 22 – 5z + (7+ i) = 0 (b) z? – (6+ i)z + (14+ 8i) = 0

A: Explanation of the answer is as follows

Q: Solve for x. * (7x) (7x) I (4x) (4x)) F (7x) (7x)/ H. O x= 36 O x= 20 O x= 10 O x = 24

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A:

Q: a. b. INGIN IN C. + S (S-1)² e35 + 5-1 e-3s S 5+1 d. None of the above L{2+ (t-3)et-3 U(t-3)] = +

A: Consider:  L2+t-3et-3 Ut-3=L2+Lt-3et-3 Ut-3 Now, L2=2L1=2×1s                      since L1=2s So,…

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Q: (B): If A = 2t + 3j-4k; B=3i-4j+5k and C=i+j-k, find: (1)Ã.B (u)B.C (U)Ã. (B+C)and (A + B). (iv)…

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