6. For the function f(x) = x find all values of C in the interval [1,3] that satisfy the conclusion of the Mean- Value Theorem. If appropriate, leave your answer in radical form. Enter all fractions in lowest terms. C =

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Q: 2. Question: Prove that the limit does not exist x² + 7x + 9 lim X→-5 x2 - 25

A: Given: limx→-5x2+7x+9x2-25 for evaluating given limit, we put x=-5 in given limit

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Q: 8

A: To select the option for the derivative of,  y = sinh x

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A: Given,         sinh2x=12cosh2x-1

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Q: For each of the following power series determine the interval and radius of convergence.

A: The given series is ∑n=0∞ x+122+n-165+n. Compare the above series with its standard form an=x+122+n-...

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Q: - 2x? – 6x +1 Evaluate dx using Partial fractions. x' +2x – 8

A: Given: I=∫x3−2x2−6x+1x2+2x−8dx

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A: Given  f(s) = 1+ s-3/2 We have to its definite integral  So first calculate it's indefinite integral...

Q: 7

A: Given,            dydx=6y2x

Q: 7

A: From the given data:

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Q: 11

A: giveny(0)=2dydt=tt2y+ydydt=ty(t2+1)after separating variablesydy=t(t2+1)integrating on both side∫ydy...

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A: Given: y=xlnx10 we know that ddxu.v=vdudx+udvdx                                    ..1

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A: Given, (a)  To condense ln3 + 13ln(x2+1) -3ln(1+x) (b) To expand lnx2+1x+2(1+x)5  

Q: Calculate the double integral. 4x dA, R = [0, 4] × [0, 1] 1 + xy

A: The given integral is ∬R 4x1+xy dA  where R=0,4×0,1. Evaluate as follows.  

Q: Find f by solving the initial-value problem  problem 1: f '(x) = 9x2 − 8x, f(1) = 0 f(x)= Problem 2:...

A: problem1givenf '(x) = 9x2− 8x, f(1) = 0integrating∫f '(x) dx=∫(9x2− 8x)dxf(x)=3x3-4x2+C      where C...

Q: Find f−1(x) for f(x)=15+10x.   Enter the exact answer.   Enclose numerators and denominators in pare...

A: From the given data:

Q: Question: The table shows values of k(x). What is lim k(x)? x->-5- -5.1 -5.01 -5.0001 -5 -4.999 -4.9...

A: Given:        

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A: Given:r           = Radius of the circular track (meters (assumed))95 sec = time (TA ) taken by Akir...

Q: 10. Find the amount of an annuity if $200/month is paid into it for a period of 30 years, earning in...

A: The formula for the future value of the annuity is given as, FV=P1+rn-1r where, FV=future valueP=per...

Q: 14

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Q: A company that produces cell phones has a cost function of C = 12x2 – 89x + 16981, where C the cost ...

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Q: 2523 Find all the value(s) of x at which f(x) = answer, give all of the x-values separated by commas...

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Q: Find the solution of the exponential equation, as in Example 1. (Enter your answers as a comma-separ...

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Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval not...

A: Given function y - y = x2x2-36Differentiating y with respect to x -dydx = ddxx2x2-36dydx = x2-36ddxx...

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Q: Solve the following triangle. Round lengths to the nearest tenth and angle measures to the nearest d...

A: you can clearly understand if you follow the below solution

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Q: Calculate the derivative:

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Q: Consider the following function: f(x) = 16x5 - 20x3. Find the interval(s) where f is decreasing and ...

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