,2 -1 dx 2

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A: As we know from the Green's theorem; ∫CMdx+Ndy=∫∫D∂N∂x-∂M∂ydA   Given; I=∫C3x2-ydx+3xdy So, M=3x2-y…

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A: Given : a.   Decay rate = -0.0244= -0.0244×100%= -2.44 %

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A: The region is bounded by -x2+7x between x=2 to x=5

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A: Solved below.

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A: Given problem:-

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Q: Perform

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A: Given query is to find the value of the Indicated integral.

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A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

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Q: QUESTION 14 Find d²y/dx². x = t + sint, y = t - cost

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A: The parametrized curve x=e-sinθ and y=ecosθ for 0≤θ&lt;2π.

Q: Find the length of the curve parameterized by x = 2 + 3t² and y = 3 + 2t³ from t = 0 to t = 3.

A: To find the length of the curve parameterized by x=2+3t2 and y=3+2t3 from t=0 to t=3.

Q: 6. Evaluate the following integrals. 1/4 (2) [¹ sec³ πt dt

A: 6. ∫014sec3πt dt Note:    Multiple questions are given, we are answer with only one question.

Q: determine the interval and radius of convergence 1 Z-3)2+"(n² + 1) (4x - 12)" n=0

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Q: Verify Green's Theorem by evaluating both integrals y² dx + x² dy = / dA дх ду for the given path.…

A: Here we have to verify the Green's theorem.

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Q: Question 10 of 10, Step 1 of 1 dy Find dx Answer for the equation below. dx 11 8/12 Correct 4x4 +…

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Q: Evaluate the integral of the following using Miscellaneous Substitution dx 1+ X

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Q: Fred the fick partiel dervatives of he Amikinan = Oce /2 ニ for fy f2

A: Explanation of the answer is as follows

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Q: Question 2 Suppose f(6) - 5 and f'(6) = 5. Find the following. = da ((7x² + 3x + 5) el(z)) at x = 6…

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Q: QUESTION 12 Find d²y/dx². x=1+1²y=t-³

A: Given;  x=1+t2, y=t-t3

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 sts 1. dy

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Q: Given that 10 f(x) = ah(x) h(-1) = 4 h'(-1) = 7 Calculate f'(- 1). Hint: Use the product rule and…

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Q: Find the following using the table below. X 1 2 3 4 f(x) 4 2 1 3 f'(x) 3 1 4 2 g(x) 3 4 2 1 g'(x) 1…

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Q: 1. √x √1 + x² dx X

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Q: 1. Evaluate the Riemann sum for f (x) = x² , 1 < x < 3, with three subintervals, using left…

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Q: The results of an experimental drug trial to treat chronic stultitia are listed below. Women with…

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Q: Evaluate F. dr. F(x, y) = 7xi + 4yj C: r(t) = ti + V4 - tj, -1 sts

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Q: eſt 2 du given that * f(z) dx = 12 f(4Tan¹(u)) 1+u² Evaluate

A: Hint :  This problem is application method of substitution in definite integral. If you have not…

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Q: Suppose that f(x) = -9x/6. Evaluate each of the following: f'(2) = f'(5) =

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