Find the partial derivative of the function with respect to each variable. h(p.p.0) = p sin o cos 0 ah

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Q: n² 2n-1 (-5)" n=]

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Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: L fx, y, z) ds. Evaluate f(x, y) = 9y – x S: r(u, v) = cos(u)i + sin(u)j + vk Osus", 0 svs1

A: We have to evaluate the integral.

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Q: 09. lim, " -т(csc Tх) (Inx)| x)(Inx)]

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Q: x*- 2x³+x² xdx

A: ∫x4-2x3+x2xdx ∫x2x2-2x+1dx ∫x2(x-1)2dx ∫x2(x-1)dx ∫ x3 -x2dx x4/4 -x3/3 +c

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Q: A. Set up the double integral | |(2? (x2 + y)dA where Ris the region above the x-axis bounded by the…

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Q: 2. Find the equation of the normal line to the graph of y = x(1+ In x) at x = e. Write your answer…

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Q: Find the sum of the convergent series. Σ n(n + 2) W

A: First we rewrite the series and then find the sum.

Q: 1. Find the area bounded by the curves y?=2ax, y?=4ax-a? 2. By integration, show that the area of a…

A: To find the area of the region bounded by given curves.

Q: Find the firsst derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and the first partial…

A: Given:       y=arctan3sinx4+5cosx First derivative:     dydx=ddxarctan3sinx4+5cosx…

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Q: (6.) Let u (1,3,-2) and v (0, 2, 2). %3D (а. Determine compyu the scalar projection ofu onto v. (b.…

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Q: Find the following quantity if v 2i – 3j + 4k and w = - 2i+ 4j- 4k. 4v + 3w ... 4v + 3w = (…

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Q: 18-19. In xy = 4, let x and y be differentiable functions of t. Evaluate at x = 10 and = 20. dt dy…

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Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+ sec? У(0) %— — 5. - dx 2y

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Q: 30 +4) de 3e+ )

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Q: Determine the center of mass for the region bounded by the following y=x^3 and y=√x.

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Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

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Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. af and Or 1, 0 = 6 Find -when r

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Q: 1 (1) = 5 4 5 - x

A: Taylor series of function fx at a is defined as:…