Use spherical coordinates. Evaluate xex + y2 t2 + dV, where E is the portion of the unit ball x² + y² + z² ≤ 1 that lies in the first octant.

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Q: 1. Isolate X.8 (3 + x-4) 4 24+ T (3x + 1 8 = 3x + 1 2x-8 24-9 = X X = 15 T 8

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Q: (3) Find the general solution of the following different equation (2x³ − xy² −2y + 3)dx − (x²y + 25…

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Q: Find the area of the region that lies inside both curves. r = 5 + cos(0), r = 5 cos(0)

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A: Given Expression is as follows

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A: Here we can write, 2=-2+4

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Q: 9. Use logarithmic differentiation to find the derivative of the following functions. a. b. C. y' "I…

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A: Given the polar equation we have to find choose the correct option