6. +... 3

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A: Consider a circle with radius r. center : (R+r,0) on x-axis. Then the equation of circle is and   

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Q: Determine whether each integral is convergent ordivergent. Evaluate those that are convergent  integ...

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Q: 7

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Q: Evaluate the integrals. The integrals are listed inrandom order so you need to decide which integrat...

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Q: Use the bineimial series to finel the Taylor Serres a bout x= e af Indicate for hieh values of x the...

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Q: 9. Solve the following differential equation by using variation parameters method: y"+6y'+þy=2+ e* -...

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Q: Question 20. Please explain as detail as possible, thanks.

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Q: Let f(x) = arcsin(arcsin x). Find the values of x in the interval −1 ≤ x ≤ 1 such that f(x) is a rea...

A: f(x) = arcsin(arcsin x)                      −1 ≤ x ≤ 1 f(x) = sin-1(sin-1 x)            we know tha...

Q: Consider the curve given by f ( x ) = 10 cos( 1.5 x ) on the interval 0 ≤ x ≤ 2 π.    ...

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Q: Set up an integral that represents the length of the curve.Then use your calculator to find the leng...

A: Consider the integral and draw the graph: From graph, we get the limits of x from 0 to 1.

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Q: Which of the series, and which diverge? Give reasons for your answers. (When you check an answer, re...

A: The series is divergent.

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Q: Which of the series, and which diverge? Give reasons for your answers. (When you check an answer, re...

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Q: Calculus Question

A: Given,  

Q: Determine whether each integral is convergent ordivergent. Evaluate those that are convergent integr...

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Q: sketch, reverse the order of integration then evaluate 2. d xely Iny

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Q: ,5. For y = 3x° - 9x° + 2x, find dx %3D dx 5

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Q: Find the given partial derivative. f(x, y) = 2 sin(6x² – y). fy(0, ) =?

A: First we find the partial derivative with respect to y

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Q: Set up an integral that represents the length of the curve.Then use your calculator to find the leng...

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A: The boat has speed= 100 mph  It travels for 3.8 hours So total distance = 3.8*100=380 miles   We fir...

Q: dx S- 2 x-4x+5

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Q: determine two linearly independent solutions to the given differential equation on (0,∞). Q. x2y′′+2...

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A: We have ex > 2x => ex-2x >0 Hence Thus, is convergent Hence, by direct comparison test, g...

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Q: If f(x, y) = 3x – 7y, r(t) = (tª, t³), t= 2, then what is 4 f(r(t)) att = 2? dt

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Q: f(x) = x5 – 2 (a) Find the inverse funct r-(x) =

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Q: For what point on the curve of y = 3x - 6x is the slope of a tangent line equal to 0? %3D

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Q: Find the composition and simplify answer much as possible. Write the domain using interval notation

A: Consider the given functions 

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Q: Solve the differential equation. 4x2 dy dx V9 +x y = + C

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Q: assume that each sequence converges and findits limit. a1 = 5, an+1 = √5an

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Q: Set up an integral that represents the length of the curve.Then use your calculator to find the leng...

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.