A. Use the tabular method to evaluate the following imits. 1. Lim log2 (2x + 1) x-3/2 2. Lim 42x+ 1 3. Lim In(1/(x+1))

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A: Given that x>0. We have to find the maximum value of  x1x5.

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Q: dt

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Q: Evaluate the integral. 8. dx 2

A: dxndx = n.xn-1 . ∫un du = un+1n+1+C

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A: Curve passes through (e6, 0)f(e6)=0slope of Normal line=x e-8ySlope of normal line*slope of tangent ...

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A: topic - definite integrals

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Q: 14 Find [3f(x) – g(x)]dx if 14 14 | f(x)dx = 3 and g(x)dx = 9.

A: Topic = Integration

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Q: 20. dx 1.

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Q: complete

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Q: Exercise 15. Let f(z) cos z (z2-1)2 The residue off(z) at zo = 1 is a) – sin 1 b) sin1cos 1 c) -(sin...

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A: 1.TRUE.If there was no minima in betweenf(1) and f(3),Then function must be continuously decreasing ...

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Q: Complete the interval table (you can do this in your notes) for the continuous function, then determ...

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Q: 3 (7) What is the value of the scries -? Justify your answer. (n + 1)2"||

A: Explanation of the answer is as follows

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Q: Find the general solution to the differential equation y''-4y'=8-16x

A: y"-4y'=8-16xf(D)=D2-4DAuxillary equation :m2-4m=0m(m-4)=0m=0,4m1=0 , m2=4

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Q: If xy+Iny= x²y, compute y 2xy? +y2 y = - xy+2 – x²y O A. O B. None of the other choices OC. 2xy2-y? ...

A: We have to find y' for the given expression                                                         ...

Q: Evaluate the integral. (Hint: u-sub) dx x(4 + 6 In x} O! Inl 6+ 4 In x| + C O1 Inl4+6 In x | +C O In...

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Q: In Problems 31-42, calculate the definite integral by referring to the figure with the indicated are...

A: topic - definite integral

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Q: Use Lagrange multipliers to solve the following exercise. Find three positive integers x, y, and z t...

A: To use Lagrange multipliers to solve the following exercise.To find three positive integers x, y, an...

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