1+2n 4) De termine whether the serics Converges 37 diverges. If it converges, find its Sum. A) 2 c) The series diverges

Q: n=0 n!

A: This is series problem

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A: ∫cos3(x)sin(x)dx here we use substitute method so we have to substitute so lets substitute u = cosx

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A: ∫ xn dx = xn+1n+1 +C ∫ab f(x) dx = ∫ac f(x) dx + ∫cb f(x) dx , where , a&lt;c&lt;b.

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A: A detailed solution is given below

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A: Let the container has a base side "x" and height "y"

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A: The centroid of a region R is given by x, y=MyM, MxM, where we have M=∬RdA; My=∬Rx dA and Mx=∬Ry dA ...

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Q: TT(e-1) В. 2.

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A: A function f(x) is said to be continuous at a point x=a iff limx→a-f(x)=limx→a+f(x)

Q: b. (2,1)

A:

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A: Explanation of the answer is as follows

Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr

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A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

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Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

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A: Let's find. 

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A: First we take log both sides and then differentiate both sides with respect to x.

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. 489x хе dx ...

A: ∫xe489x dxBy using integration by partsu=x, v=e489x

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A: NOTE: Refresh your page if you can't see any equations. . the cost function is  and the demand func...

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A: Given that: 2x=y+2y   .............(1)2y=z+2z   .............(2)2z=x+2x   .............(3) We have t...