Make a substitution to express the integrand as a rational function and then evaluate the integral. 7 sin ²8 sin z dx =

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A: To solve part d and part e, answer of part c is required.

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A: r=2sin⁡(9θ)

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Q: Solve the following homogeneous diffe y"-4y'+4y= 0 »._4y"+л²y = 0, y(0) = 2, y'(0) = 0 x²y" - 2xy' +…

A: Given differential equationwhich is clearly a Euler Cauchy DE

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Q: 3. ftan5 4x sec³ 4xdx.

A: Since you have asked multiple questions in a single request so we will be answering only first…

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A: Given that P is a critical point P of

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A: To set up, but not to evaluate, an integral for the area of the surface obtained by rotatng the…

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A: r=5+cos⁡(θ),r=5−cos⁡(θ)

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Q: Q1. Let f(x, y) = 3xy +/- $. 1 8 (a). Find far(x, y). (b). Find fay(x, y). (c). Find fyy(x, y). 100⁰

A: we need to find out the partial derivatives.

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A: Given that height of building is 20m. And initial velocity is 15m/s. We find the equation of height…

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A: x=tcos⁡(t),y=t−6sin⁡(t),

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 3 + 3x² + 2y², the planes x = 2…

A: Equation of elliptic parabolid z=3+3x2+2y2Equation of planes x=2 and y=4

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Q: 4. Se 1+e 2x 5. fe²x sin 3xdx

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