Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin , [0, 8π]

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A: This question can be solved using the area of triangle in three dimensional geometry.

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Q: 4. Evaluate the integral 1 tanz+ tana+ x 2(x² + 1) + C 2(x²+1) x da 24 +22² +1 (d) tan-¹+ +C (e)…

A: To evaluate: I=∫dx(x4+2x2+1)=∫1(x2+1)2dx

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Q: -2x+1 if x0 f(0) = (0, -1) (d) Graph the function below. (b) f(-1) 2 f(-1) = -2(-1)+1 ¥(-1)=3 (-13)

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Q: A wrench 20 cm long lies along the positive y-axis and grips a bolt at the origin. A force is…

A: A wrench 20 cm long lies along the positive y‐axis and grips a bolt at the origin. A force is…

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Q: Q3:a\ -7)(x) = g(x) f(x)' If f(x) = 1, g(x) = 1 + √x. Find the domains of (1)(x) =

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Q: 1. Find derivative of given function defined as follows. 7-29-22 y = (8x²-3x³) ³

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Q: 26. [..? What does the alternating series test tell us about A. The series is converges absolutely.…

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Q: Solve y(x) in the differential equation using Laplace Transform. y" + 4y + 10 = e-³x + sin(x); y(0)…

A: I am attaching image so that you understand each and every step.

Q: 5) Consider the vector function r = (9 — 2t, 4 + 2t, √√2t²) a. Find the length of the path on 0≤t≤1.…

A: Given,

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Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are et cos bt x^{(5-507² +6²) and b…

A: We need to solve D.E.