5. Determine whether 3x 4 is a factor for each polynomial. Show all your work! 3 a. 6x 6x³ - 26x² 26x + 33x 12 b. 3x² – 10x³ + 11x² + 23x - 36 C. 3x 3 — - — 2 2x + 7x + 20

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A: Let's solve given integration.

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A: This question is based on application of integration.

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A: Given curves are y=3x2 and y=x2+4.

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A: I have appended the formula used in the solution of the question.

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A:

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A: Evaluate :   ∫sin(3x)sin(x) dx

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A: The given function is: f(x)=3x2+2x-10

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A: Solve the following

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A: Let's find laplace transform.

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A: topic - critical points , Local extrema and points of inflection

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…