Find the area enclosed by the given parametric curve and the x-axis. x = 5 sin(t), y = sin(t) cos(t), y 0.5 0.4 0.3 0.2 0.1 2 3 0 ≤ t ≤ 4 πT 2 5 X O

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Q: 6. Use a Table Entry to find the exact value of 0 2x sin(7x) dx.

A: Solve by by parts method

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Q: 1. Find the divergence of F(x, y, z) = (ln(x + y) + 7, sinhy√1+yz, ze" − cos z) - π at the point…

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Q: Use the formula to find the next four partial sums S5, S6, S7, and Sg of the infinite series. S5 S6…

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Q: 6. For all n > 2₁ 7²²_8 hverges. 72, and the series converges, so by the Comparison Test, the series…

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Q: For f(x) = 2x and g(x) = x, find the following. (a) (f+g)(x) (b) (f- g)(x) (c) (f.g)(x) (d) (f/g)(x)…

A: For fx=2x and gx=x6, to find the following.a f+gxb f-gxc f·gxd fgx, x≠0

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Q: 4. Evaluate [2²dr - zdy + 2ydz, where C₂ is the line segment from C₂ P(0, 1, 1) to Q(1,2,3).

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Q: dx

A: See the details solution in below

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Q: Suppose we know the following things about a function c: c'(1) = 1 c''(0) = 6 c'''(x) = 6 c(2) = 3…

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Q: Find the slope of the tangent to the parametric curve at the indicated point. (Round your answer to…

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