Find the centroid of the given region. [Give exact answer in fraction form.) y-2- y=x The centroid is( ).

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A: We use the given rules of integration to evaluate the given integral  

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A: This question is based on chain rule differentiation.

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A: Given query is to find the inverse function.

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Q: Solve (y- Vx² + y² )dx – xdy = 0 When: x= 0, y = 1

A: Explanation of the answer is as follows

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Q: Question 17 d?y If x = cos t, y = sint, find the dx2 att = T/4, (А) -2 B ® -2/7 D -1

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Q: EXERCISE 1.1 CALCULATE THE LIMIT OF THE FOLLOWING FUNCTIONS USING TABLE OF VALUES AND DIRECT SUBSTIT...

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Q: Given cost and price (demand) functions C(q) = 100q + 41,000 and p(q) = - 2q+ 870, What price should...

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Q: The function f(x) = 4x + 3 is one-to-one. Find an equation for f'(x). the inverse function. (Type an...

A: The given function,      fx=4x+3

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Q: 5. Determine if the integral is conve 0. exdx -1/2 V1-e 2x

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Q: 1. Limit Vr+6–3 a- 3

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Q: dx 16. S 9x2-4 |3x+2 A. In +c B. In D. tn +C + C + C |3x+2 |3x+2| 3x-2

A: This is basic integration problem

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Q: Question 18 d?y If y = x In x, find dx2 A) -1/x B -1/x? © 1/x2 D) 1/x

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Q: -5 -7 2 Determine the evaluaton of each definite integral. sot v(t) dt =| Sa? v(t) dt = S710 v(t) dt...

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Q: The sum of the first 33 terms of the geometric sequence 1, 2, 4

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