Consider the indefinite integral 152³ The integrand has partial fractions decomposition a b cx + d x² +25 + + x² X where a = b = C= d= 5x³ + 8x² + 50x + 150 x4 + 25x² Integrating term by term, we obtain that (5x³ + 8x² + 50x + 150 x4 + 25x² dx = -dx. +C.

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A: As we can see from the graph, the vertical asymptote is: x=1So the domain is

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A: The marginal profit function is,Where x is the number of tickets.

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A: Explaination of the answer is as follows

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A:

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A: Principle amount(P) = $40,000Time of investment (t) = 5 yearsRate of Interest (r) = 2.34%

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A: we need to find out the area bounded by the given curves.

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A: Consider the function

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A:

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A: x'(t)+2x(t)=10x(0)=2

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A: To find the derivatve of each of the following functions.

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A: Givenfxx

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A: To find :-The average height of the paraboloid  over the square

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A: Given, .Rules of derivative:

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Q: 3. In the warm-up to Module 8 Part 1, we came up with the first several terms of the dragon curve…

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Q: Find f such that f'(x) = 4x² + 3x-3 and f(0) = 9.

A: (1) f′(x)=4x2+3x−3f(x)=∫f′(x)dxf(x)=∫(4x2+3x−3)dxUsing the Power Rule∫xndx=xn+1n+1+C

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A:

Q: Graph the region between the curves. 12 y = 6x² 1 + x y =

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A: