Compute S S SB r dxdydz, B = [0, 1] × [0, 1] × [0, 1]. (Answ: 1/3)

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A: we need to evaluate the integration over the region using the triple integral. First we will find…

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A: Given function is F(x,y)=eycos(xy), x2+y Let  f1(x, y)=eycos(xy)f2(x, y)=x2+y

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A: Given integral is, ∫xmeaxndx Substitute, u=am+1nxm+1dudx=m+1am+1nxm+1dx=1m+1am+1nxm+1du Then,…

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A: In this question , we can solve for 'd'.

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A: Find ds/dt from s=t^2+5t

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A: Given that, In triangle RST, m∠R=45∘ and m∠S=64∘ To find:

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A: Recall:    ∫un du=un+1n+1+c ; where c is an integration constant.

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Q: +3 fn d the deivotive of this funckio slape of the tonpent On d the line ot (4,1).

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A: The objective is to find the derivative of the function.

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Q: 2. Evaluate the integral 8- (a) L« (4t5/2 – 3t3/2) dt (d) 2 - Vt dt r4 (e) t2 cos e de JT/4

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Q: If x2 + y2 = z2, find dy/dt when x = 3, y = 4, dx/dt = 6, and dz/dt = 6.  (Enter your answers as a…

A: We would differentiate the given expression implicitly w.r.t. t, ........................(1)

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A: We have to integrate the given relation to get the desired result.

Q: t DR) dende Dartine dövßes e te than show that Deo) X DR1) to DG20). o is atoxphic

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Q: Q2: Evaluate the integral S Vx² – 2x + 1 · dx 3,

A: To Evaluate: