+00 Inn E(-1)" n2 n=2 divergent convergent

Q: Find the derivative of the following functions. Show your solution.

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as ...

Q: Let f(x) = In(5æ² - 4x + 9) f'(x) =

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Q: 3 Prove that if chords of congruent circles substend equal angles at their centres then the chords a...

A: Congruence

Q: This is the graph of a function. -5 -4 -3 2 -2 -3- -4+ -5+ Choose the graph of its derivative from a...

A: Given query is to find the graph of the derivative.

Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible. As...

A: Topic = Algebra

Q: 12

A: We have to choose the correct option according to the given options 

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular...

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Q: If f(x) 5æ - 2x 2x3 find f'(x) x4

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Q: 1. lim (x+5x2 – 7x + 1) x-2 ( x +4 if x<-1 if – 1<x <1 if x 21 8. lim f(x), where f (x) =3 2x + 1 IM...

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: C: Proof that (Answer one only) S a)L (cos?t- sin²t) : %3D s2 + 36

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Q: Give the equation of the horizontal asymptote, if any, of the function. h(x) = *+6 x2 - 64 no horizo...

A: We can find the equation of horizontal asymptotes as below

Q: Find a formula for the nth term of the arithmetic sequence. a1= -4, a5=4 an

A: Topic:- sequence and series

Q: fip given the equation a+y = e. dz Use implicit differentiation to determine dy da > Next Question

A: Given query is to find the derivative of the expression.

Q: (-1)" n n! n=1

A: Yes the series is convergent  see below the explanation

Q: 2. a) Find lim g(x), lim g(x) and lim g(x) 2 b) Find f(1). c) Is g continuous at x = 1? Why or why n...

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Q: Consider the indefinite integral (7x³ +6x2 + 3x + 3 -dx x4 + lx? Then the integrand has partial frac...

A: Topic = integration

Q: 2. Which of the following is correctly matched? O z'y" - e"y" + sin r(y') = 0: linear, third order O...

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Q: i?? cos(2t) dt csc(10t3)

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Q: Determine the value(s) of k such that the area of the parallelogram formed by the vectors a = (k + 1...

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides b...

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Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2...

A: a) By using telescoping series test, the given series converges.   b) By applying Series Ratio test,...

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2.x) b) Fin...

A: Note that, the Maclaurin series of  ln(1-x) is: ln(1-x)=-x-x22-x33-x44-...                  ...(1) w...

Q: +3 dx 82x +3 (A) 2in(8) +C 82x +3 B +C In(8)2 82x+3 + C In(64) 42x +3 In(8) D - + C

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Q: A drug manufacturer has developed a time-release capsule with the number of milligrams of the drug i...

A: topic - average of Function over interval

Q: Below is the plot of a function f(x). 15t 14 13 12 10- 8- 4. -9 -8 -7 -5 -2- -7 -8- -10- -H- -12 -13...

A: According to the graph, there is a local maxima at x=-3 and a local minima at x=1

Q: (lx] + 3 , ={-2x (6x +2, I<-3 Q4) Check the continuity of f(x) - 3 <x< 3 x2 3

A: topic - limits and continuity

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural...

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Q: 10. Vx – 1dx 15 32 32 b. 15 a. 32 d. none of the choices C.- 15

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Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a rectan...

A: Area(A)=∫-21x2-2x+3 dx

Q: V4-9x2dx (Use trigonometric Substitution) Evaluate 3x Then, write the coefficient of the integral: B...

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Q: Differentiate f(x) = arcsin(3x). Use exact values. %3D f'(x) =

A: Solution is written in below steps.

Q: C = x Vx? – 25 + 50V2? – 25 + C.

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Q: f (х) — (х — 1) (х — 3) 12

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Q: y 1.5 2.5 2.5 2.5 2.5 13.68 3.

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Q: Given the following matrix and its eigenvalues 25 has eigenvalues R, = -3 and R, = 3 1. Find the mat...

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Q: Let f(x) = In(x²) f'(x) = f'(e*) = > Next Question

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Q: 15. Challenge Problem: Find the value of k for which the following limit exists. 4x2 + kx - 27 lim x...

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Q: Solve the initial-value problem by using integrating factors. y' + y = x, y(0) = 6

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Q: A rectangular prism with dimensions 6 m × 4 m × 8 m (l×w ×h) is shrinking. (a)  Assume that the leng...

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Q: Af(x)

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Q: VI. Give the Maclaurin series expansion of f(x) = ln(2 – 3x). Determine its interval of convergence....

A: Note that, the Maclaurin series of ln (1-x) is: ln (1-x)=-x-x22-x33-x44-...           ...(1) which i...

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After ...

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Q: Differentiate. 5x y = et 5- 5x y' = %3D et

A: Yes above answer is correct, lets see how to solve... This is the simple question based on different...

Q: Inn E-1 n2 =2

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Q: Given the following multiplication problem -2 1 = - 1 Perform the multiplication to find your two eq...

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Q: Market resear ice cream company price per cup of ice cream is P50.00, the demand will be 1200 cups, ...

A: Solution is here

Q: 1. Let f(x) = (Use sqrt(N) to write VN) V5x2 + 4x + 8 f'(x) = > Next Question

A: Given query is to find the derivative of the f(x)  

Q: Given the following matrix and its eigenvalues 3 4 6 -7 1. Find the two eigenvalues for the matrix 2...

A: Given

Q: Given the following matrix and its eigenvalues -27 3 2 1. Find the two eigenvalues for the matrix 2....

A: a) Eigenvalues: λ1=5λ2=-5 b) Matrix of eigenvalues For λ1=5 -773-3 For λ2=-5 3737