(c) I 1²-7 dr

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A: To solve the given inequalities for the function f(x).

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A: Explanation of the answer is as follows

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Q: 15. Verify the identities: a) csc x -sin x = cos x • cotx b) tan²0 1 + sece 1 - cose cose

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Q: / dw W8 W8

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A: Let's solve given integration.

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A: Given Series,∑n = 1∞1 + sin2 n10n

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Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

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Q: 16. Given that sin x = Σ k=0 (-1) k (2k + 1)! T 2k+1 for all x, find the Taylor series for f(x) = x…

A: The given Taylor series is sinx=∑k=0∞-1k2k+1!x2k+1 for all x

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

A: Here, x changes from 35 to 38. So, change in x = 38 - 35                              =  3.

Q: 11 7 Find Y 12 2r₁²³² + y² = 4 2

A: here is the solution

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Q: Complete the equation for the piecewise function graphed below. +6+ 5 -4- 3- 2 + -6 -5 -43 -2 -1 H…

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Q: sin x +∞0 Σ n=0 (-1)" (2n + 1)! px?nts] for all x € R

A: Ans: 0.099999983 Solution is attached below.

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Q: sin¹(x)dr

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Q: 1. Let f(x, y) = y³ + x³ - 2y² - 3x + 30y. (a) Find all the critical points of f. (b) Determine…

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Q: 12. Determine the radius and interval of convergence of 8 k=1 (-1)kk²(x-4) k 3k

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Q: 5. Evaluate 8y L L (PS4 12 dzdy + 1)² by reversing the order of integration.

A: Follow the procedure given below.

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