Prove that (b − proja (b)) · a = 0.

Q: I| (2 + x²y)dA, R = [0, 1] × [–1, 1]

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Q: Find 4rye®y? dA, where R [0, 1] × [0, 2]. R

A: The objective is to find the double integration where  R=[0,1]×[0,2]

Q: vx(A x s) = (B · v) A - (a.o)o +a (v-t) – 3 (v. A) %3D

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Q: +¹²+z111² Prove that x12 where prime denotes differentiation w.rts. = 1 p² o² + 1+p¹² P

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Q: 2- Let z=x+iy. Find a) Img(1/2) b) Re z c) Img (1/z')

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Q: b? – a? x dx 9. - Proof Prove that 2 a

A: This can be proved using Fundamental theorem of calculus. The second part of the theorem is used.…

Q: Q31 a) Prove that Re(iz) = -Im(Z)

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Q: Suppose that Pr[A|B]=4/7, Pr[B|A]=8/13, and Pr[A′]=8/21. Find Pr[A∩B′].

A: To calculate the required probability (using the data on conditional probability)

Q: S 1.Prove that L (coswt): %| s2 +w2

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Q: (a) Prove that de 2n a>b>0 Jo a+ bcose Ja? - b2

A: We will use basic knowledge of Integral Calculus and trigonometric identities to solve this…

Q: Find B so that BH B = A where A is from (1).

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Q: Evaluate [², dx V4-x2 2.

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Q: (b) Let 100] 0100 001 1 0001 Explain whether J₁ and J₂ are similar. J₁ = and J₂ = [t00 0110 001 1…

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Q: Suppose that Pr[A|B]=7/13, Pr[B|A]=7/11, and Pr[A′]=10/21. Find Pr[A∩B′].  Write answer as a…

A: Given:  Pr[A|B]=713Pr[B|A]=711Pr[A']=1021