Consider the function f(r) 10r 10 + 9x° 2x2 6. Enter an antiderivative of f(x). Do not enter +c as part of your answer. Answer:

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

Q: Consider the function f(r) 7x10 + 10r 10r 4. An antiderivative of f(x) is F(z) Ax" + Bx" + Cr + Dr'…

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A: To find out the points on the given curve, where the tangent line is horizontal or vertical.

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A: u=2,27 v=32,-19

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A: since f(x, y) is a polynomial, it is continuous overthe given rectangular region D.So, f(x, y) has…

Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

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Q: 2.(Trivial) Verify that for any positive integer n the piecewise defined function x2n+1. – x2n+1. x…

A: y = x2n+1, x<0andy'=(2n+1)x2n+1-1y'=(2n+1)x2nVerifying;xy'-(2n+1)y=0L.H.S.=x (2n+1) x2n -(2n+1)…

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A: Let's find.

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A: Since you have asked a question with multiple parts in a single request we would be answering only…

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A: Given: I=∫08dxx3   As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1

Q: PLEASE SHOW ALL YOUR WORK...WRITE YOUR WORK AS NEATLY AS POSSIBLE. 1)Given that : f ( x ) = x3+9…

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Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

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A: To tell which of them are exact differential equation.

Q: III. SOLVE THE FOLLOWING INDETERMINATE FORMS e* +e* – x? – 2 1) Lim sin? x - x? 12+ x? 2) Lim X 00 X

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A: Find your answer below

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A: Explanation of the answer is as follows

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A: Given