Using a suitable trigonometric substitution, the integral dx 3 (16x² + 9)² is equal to sin 8+ C₁-<< 12 the above

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A: The objective of the question is evaluate the indefinite integral with substitution method.

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A: This is coordinate system problem

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A: This question can be solved using the concepts of differentiation.

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A: To evaluate the given integral.

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Q: Answer 3 Only

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A: Calculate the limit of the given term as n reaches infinity.

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A: Given :fx=2xx2+1

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A: The given integral is: I=∫sec2x81-tan2xdx    ...1   As we know the common integral.…

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ TACHY 1. (D³ - 5D² + 3D + 9)y = 0 2 (D3 D2 1

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Q: 65. Evaluate ¹/2 xsin2x de

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Q: Without using a calculator, for the following, determine whether the graph of the polar equation is…

A: Given that    r = 2 secθ            we know that    x(θ) =  r cosθ      and      y(θ) = r sinθ…

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Q: 5. There is an old question that is often used to introduce the power of geometric growth. Here is…

A: We will evaluate both the options 1 and 2.

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A: For finding the critical number, find the derivative of function and set to zero.

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A: Solution of given question is written in below steps.

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A: Solution: y=32x2 vertex = (0,0)

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A: We can find the remainder as below.

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Q: If sin x = sin(2x) cos(2x) tan (2x) 3 7' x in quadrant I, then find (without finding x)

A: NOTE: Refresh your page if you can't see any equations. . here we have  and the angle is in the…

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Q: 1. Find the radius of convergence and interval of convergence for the series n=0 2nx" 3"

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