Determine the value of 5A+6M if 2x4 + 3x3 +8x2 + 14x + 3 A x-3 х — 3x + M - x(1 + x2)2 1 +x2 (1 +x²)² Answer:

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A: answer is in next step

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A: Explanation of the answer is as follows

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A: topic - implicit differentiation

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A: We can solve this as follows:

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Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

A: topic - indefinite integral

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A: Here we have to find the given indefinite integrals.

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Q: Find the particular solution of the following ODE given that y(0)=0 and y '(0)=0: d'y +y=e* dx

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A: Using given formula,

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A: Explanation of the answer is as follows

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk K(t)…

A: By using the formula kt=r't×r''tr't3 to find kt.rt=4 cos7t i+4 sin7t j+3t k

Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (o, 0) to (0, -9) and (0, -9) to (5, -9) 589 2

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A: Given query is to find the area.