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Q: Help with #9

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A: The function is given as

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A: The given differential equation is y’ = 5x–5.

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A: Given information: 

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A: First consider:

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A: Refer to the question, first evaluate the given integral in indefinite form that is with the limits.

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A:

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A: f(x) = 3x + 2 from  x=1  to  x=3; n = 4dx = Width of each rectangle = (3 - 1) / n = 2 /4 = 0.50

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A: To calculate the velocity from the given data 

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A: We\'ll use arc length formula with a=pi/2, b=2pi/3.

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A: We are given diagram as

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A: The function is

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A: We first write the given function in the form of the definition of the derivative.  

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A: The function is given by,

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Q: Which of the following is the power series representation for f(x)? O A. B. 1 4k X Σ 4k k 0 1-x k 0 ...

A: Consider the power series representation for f(x4):

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

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A: We will solve Q-10  

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A: Consider the geometric series,

Q: The funciton f in the figure satisfies the lim f(x)=5 as x approaches 4.  Determine the maximum valu...

A: (A) From the inequality |f(x)-5|<1 , we\'ll find range of f(x) first.

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A: To calculate the volume by using the spherical coordinates of the region outside the cone φ=π/4 and ...

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2].   please show and expla...

A: The function is given by,