36. What is the area of the region bounded by the graph of y = 3x - 4, the y-axis, the lines y = 1 and y = 4? 37. Find the volume of the solid obtained by rotating the area between the graphs of

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A: We need to find limit.

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A:

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A: option (b) is correct. see below the calculation

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

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A: We have to find the largest interval centered about x = 0 for which the given initial-value problem…

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A: Let's find slope and y intercept.

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A: We have to find the equation of plane.

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A: answer is in next step.

Q: Exercises L- If H B =). 33" 3 14. BB+A-SI-D E A-

A: The answer is given below:

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A: We have to find r(t).

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A: Here the region of integration is bounded by y=x, y=1, x=0, x=1. Plotting the region we have:

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A: Topic = Series

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A: The function f(x)=csc(x), 9, csc 9

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A: We have to compute the cross product and find if it is perpendicular to both vectors.

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A: Given :fx=1x

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A: You must have idea how to find distance under v-t curve.

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A: Here we will find whether given vectors are orthogonal or not,

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A: We have to find the Taylor series from the given condition and also indentify  the valid interval

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A: We know that cos θ=Adjacent sideHypotenusecos 60=12

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Q: Consider the following situation, which involves two options. Determine which option is less…

A: Given: Consider the following situation, which involves two options. Determine which option is less…

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A: Maclaurin Series for f(x) :       f(x)≈ f(0) +f'(0)x +f''(0)x22!+f'''(0)x33!+... Note : As per our…

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A: We have to find f′(x) and f(4).

Q: Define a polynomial function with all of the following properties. Roots: x=7, x=-8, x=0. It bounces…

A: Given problem:- Define a polynomial function with all of the following properties. Roots: x=7, x=-8,…