pherical coordinates to evaluate the triple integral a2 + y? + z? dV, where E is the ball: x² + y? + z? < 36. E

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A: Follow the procedure given below.

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A: Since you have posted multipart questions i can do first three subparts as per our company…

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A: We can solve this as follows:

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A: Please see the answer below.

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A: Given  and

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Q: (e) Compute y' if y2 = xe + ye-

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A: Gradient of function fx, y, z=x2+y2+z2 at  point 8, 7, 3

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A: log(xz6)We know that logab+logac=loga(bc)Therefore,log(xz6)=log(x)+log(z6)we know…

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A: Given lines are: l3: x-3=y-5=z-6 l4→s: -2-2s, -2s, 6-2s   We compare l3: x-3=y-5=z-6 or l3:…

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A: Topic = Integraion

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A: Given

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A: Given;  w=x tan(y+z), (3,7,-3).

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A: To determine the truth value of the compound statement given that p is false statement and q is a…

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A: As per Bartleby guidelines rule we have to answer only 3 sub-part of a question.

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A: A detailed solution is given below

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A: Solving

Q: O False

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A: This is a problem related to integration. Based on the integral formula we will solve the volume by…

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A: we have to solve system of differential equations

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A: I am attaching image so that you understand each and every step.

Q: (- 1)" Σ n =1 n 3+5 8.

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A: x f(x) -1 -e 0 0 1 1/e 2 2/e2 3 3/e3 4 4/e4 5 5/e5     x g(x) -1 -1/2 0…