26. Let A = [] and B =[id] J 0 Find a) Av B. b) ΑΛΒ. c) A o B.

Q: d) Let y= Acos2t where A is a constant. Find the value of A such that d y --3y = 9cos2t for all…

A: Given  The equation is  y= A cos(2t) , where  A  is constant  and condition is  d2ydt2-3y=9cos(2t) .

Q: Show ALL WORK I. Find: dz a) for z=(x-y)5, x =5²t and y=st 2 b) dz for 2= (x-y), x=5²t and y= St

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Q: Let 2 0 A= -1 1 Give the 1,2 entry of A -!. а) О2 b) O½ c) O1 d) 00 e) -2 f) O None of the above.

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Q: Find the value of d. 3.

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Q: 7- Evaluate:

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Q: Evaluate (x – 2y + z) dS. S: z = 8 – x, 0 <x< 8, 0 < y< 7

A: Given I=∬S(x−2y+z)dSS:z=8−x,0≤x≤8,0≤y≤7

Q: 4. Prove that: Jx'J,Ex) dx 2 3x J,Cx)-(x-3x) J.cx) -3

A: We find the value of the integration by apply the integration by parts and the recurrence relation.…

Q: Let x, y ∈ R. Suppose x2 + y2 = 0. Prove that x = 0 and y = 0.

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Q: :? Let w = x. In(ry²z³), then which of the following is a. Ob. O b. O d. 0 O e. e.

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Q: F'{le }}= Select one: V2iz O a. e O b. None of these C. /2x O d. re 2z2 O e. /2m

A: The Fourier transform of the function f(x) is represented as F(λ), it is defined as ∫-∞∞eiλxf(x)dx,…

Q: Prove that dv du 2 – u? + v² 18

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Q: [(3+ csc² x) dx = , r 3x- cotx+C a) 3x-3 cot x+C c) 3x+ cot x+C d) 3x+3 ta

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Q: What is WX? X WX = Submit U W 5

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Q: Prove that a. V. (A + B) = V.A + V.B b. V. (ØA) = (V. Ø). A + Ø(V. A)

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