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Calculus Q&A, Textbooks, and Solutions

Calculus Q&A

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Q: A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast i...

A: Now we will diffrentiate the formula of volume of a sphere  as shown:

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Q: Find the sum of the telescoping series k=1

A: Given telescopic series:

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Q: 6. In a tank there are 1000 gal of water with a concentration of 1 lb per gallon of pollutant. Water...

A: Rate of change of pollutant in the mixture = dp/dt

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Q: The derivative of the function y = yz (2 + z).

A: It is given that 

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Q: 2x -1 dz

A: It is given that 

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Q: Score-0 of 1 pt 9.4.9 Evaluate the following limit using Taylor series -x-In (1-x) lim x 21x2 -x-In ...

A: Click to see the answer

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Q: 9.4.12 e* (1 x) Use series to evaluate im to evaluate lim x→0 11 e* (1 x) lim x0 11x Type a simplifi...

A: Click to see the answer

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Q: 9.4.28 Consider the function f(x)-cos (x) a. Differentiate the Taylor series about 0 for f(x) b. lde...

A:      To differentiate the Taylor series of  about 0,first let us differentiate , then find their cor...

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Q: 9.4.31 Consider the function fx)-4 tan (x) a. Differentiate the Taylor series about 0 for f(x). b. I...

A:        To differentiate the Taylor series of f(x) about 0,     first let us differentiate   , then f...

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Q: 9.4.12 e* (1 x) Use series to evaluate im to evaluate lim x→0 11 e* (1 x) lim x0 11x Type a simplifi...

A: Click to see the answer

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Q: &10.3.5 Question Help Find the slope of the line tangent to the following polar curve at the given p...

A: Given: The provided polar curve is 

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Q: 9.4.38 Question Help * Use a series to estimate the following integral's value with an error of magn...

A: We know that Maclaurian series for sin x is 

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Q: Ques 9.4.42 Use a Taylor series to approximate the following definite integral. Retain as many terms...

A: We know that the Taylor series for ln (1+x) is same as Maclaurian seriesThat is

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Q: 9.4.45 Use an appropriate Taylor series to find the first four nonzero terms of an infinite series t...

A: We know that the Taylor series is same as Maclaurian series for ex. That is

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Q: 10.2.17 Express the polar coordinates 3,3in Cartesian coordinates What is the point in rectangular c...

A: Given Polar Coordinate is: 

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