Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use or-w, enter INFINIT x - 2x - 8 lim x - 4

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A: The given integral is: I=∫2+ln2xx1-lnx2dx   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1…

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A: This question can be solved using the concept of limits.

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A: Topic:- application of integration

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A: b.The given function y+4=-2x

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A: Question- 1. Describe the transformations of the graph of y=√x to obtain the graphs of the following…

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A: We have to find the inverse of the function g(x).

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A: The region bounded by the x-axis, y=x2,x=0,x=2 is:

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A: Solution: Given data, According to the given options generate the slope filed .

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Q: Find the inverse Laplace transform of the function. 1 F(8) : s2 – 8s + 25

A: L-11s2-8s+25=L-11s-42+9=e4tL-11s2+9=e4t13sin3t

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A: Given a function: fx=8x-7x-1To write down the definition that limx→a fx=LTo prove that limx→5…

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A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

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A: Please refer to the image below

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A: Use formula of arithmetic progression

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A: The given problem is solved below in detail.

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A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

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A: for F = 10 , x = 5