Determine whether the series converges, and if so find its sum. Enter the exact answer as an improper fraction if necessary. If the series diverges, indicate that using the checkbox. 1 log1o (k + 5)(k + 6) k=1 The series diverges

Q: Complete the following statements by entering numerical values into the input boxes. Angles are meas...

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Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4) Sketch the line.

A: We can find the required equation of line passing through the pair of point is as below.

Q: Differentiate. g(x) = (x-5 + 3) (x-3+5) - 4 - 25x - 4 - 9x - 9 O A. g'(x) = - 8x X6- 9- - 25x- 9x -7...

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Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

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

Q: Compute D P(1,2) in the direction of v =. Please round your answer to 4 decimal places.

A: According to company rule we can answer only first question and rest can be reposted.

Q: tan Įx sec² įx dz. x³ + 3x dx. x2 + 1

A: LetI=∫x3+3xx2+1dxI=∫x(x2+3)x2+1dxPu x2+1=ux2=u-1differentiate 2xdx=duxdx=du2I=∫(u-1+3)udu2Take the c...

Q: 1.) Suppose p > 0. What is the relationship between n=1/i da and n+1 dx? Make sure to justify your a...

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Q: a. Sketch the curves on the same polar axis b. Determine the area common to the 2 curves 4. Given r ...

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Q: Prove that ∀n ∈ Z, gcd(7n + 1, 15n + 2) = 1.

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Q: Find the area of a triangle bounded by lines y=2x and x=1 by a.) single integration b.) double int...

A: Given: - The lines are, y=2x and x=1  To find: - The area of a triangle bounded by given lines. (a) ...

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Q: Let f(z) = 5 - 51. Then the expression f(z + h) – f(z) h can be written in the form (VBz + Ch) + (z)...

A: We have to find A ,B , C and f'(1) , f'(2), f'(3) and lim  h→0  fx+h-fxh Given fx=5-5x

Q: The total number of a particular chain store in the world can be modeled by the cubic function y = 1...

A: We need to choose correct options.

Q: Evaluate lim -2x csc (-5x). Submit an exact answer.

A: We can find the limit as below

Q: 7. Including complex zeros find all zeros of f(x) = 9x° + 57x² + 66x + 30

A: We have to find the zeros of the given polynomial.

Q: y = [x+ (x + ¯ sin² 3x)°]

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Q: aluate the integral by making the given substitution. (Use C for the constant of integration. Rememb...

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Q: the limit definition to find the slope of the tangent line to the graph of f at the given point. f(...

A: Given query is to find the slope of the tangent.

Q: (b) Give possible values for minimum eft tration and maximum safe concentrat make Product C or Produ...

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Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the b...

A: Given: a)      The distance from x,y,z to the center is x2+y2+z2         So that                  Tx...

Q: 5. Find the angular speed in radians/second associated with rotating a central angle of in 10 second...

A: use angular speed formula for finding one .

Q: Use cofunctions of complementary angles to find θ where cos(17deg) = sin(θ). Use logarithm properti...

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Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit.

A: a sequence {Xn} is convergent if lim Xn tends to a finite value when n approach to infinity 

Q: 7 du. Hint. Answer. 3. /1 u²

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

Q: 2. / 3" csc²(3") sin“(3") da (3") sin®(3") dx

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Q: Consider the following sequence: {an} = {n – n² },e n=1 Use an+1 – an to show that the given sequenc...

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Q: Consider the quadratic function below and (a) find the vertex; (b) find the axis of symmetry; (c) de...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ k=1

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Q: 13. 13. 5 68.5 -5 5 T68.5 -5 18 5 T68.5 -5 18 35 ー35 So, 6.85 : 5 = 13.7

A: Given :-       To find:- 6.85÷0.5 

Q: 6. Consider the function f(x) = In(x + 2) – 2 arctan(x) a. Find all critical points in the domain of...

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Q: Let f(x) = V90 Then the domain of fogis equal to a, b] for - x and g(x) = x² – x. a = and b =

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Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t ye...

A: V(t) =1.6 e0.039ta)   substitute t=0 for 2006     V(0) =1.6e0= 1.6      Value of country's export in...

Q: Describe how the graph of the function g(x) = -|x|-7 can be obtained from the basic graph. Then grap...

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Q: 4x3 y = x", y(0) = -3 and choose the correct answer from the followir x4 +2 Solve the initial value ...

A: Note-  Acc. to Bartleby guidelines, we are supposed to do only one question. If you want more to be ...

Q: Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that ...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: Consider the following sequence: +00 3" {a, } = An+1 -to show that the given sequence {a, } is stric...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  now substitute n+...

Q: The profit of a company, in dollars, is the difference between the company's revenue and cost. The c...

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Q: Find the derivative of the function. 1 g(t): (5t + 1)6 30 g'(t) = (5x +1)7

A: Explanation of the answer is as follows

Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero...

A: Given query is to find the value of a.

Q: Find the line of intersection of the planes 2x – y + z = 2 and x + 2y – 4z = 1

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Q: 15. Use the following table to answer the question below: 3. 4 6. 7 4 6. (a) Is Da function of C? Re...

A: Given table:- C 3 4 5 6 7 D 2 4 6 4 2     To find:- (a) Is D a function of C?  (b) For this ...

Q: Evaluate the indefinite integral. 24 W cot(x) csc2(x) dx 24 cot?(x) + C 25 O (csc(x))24/25 + C 24 25...

A: To solve this use integration by substitution method

Q: 7 4. Find the inverse function of f (x) = %3D 5x+1 Write your answer using proper inverse function n...

A: Follow the steps.

Q: Find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = x² – 9, g(x) = 3x – 4 (fo g)(x) = | (S...

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Q: cubic meters 2. The volume of a balloon is increasing at the rate of 15 and the balloon has an initi...

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Q: Classify the stationary point(s) of the following functions as convex, concave (strictly or weakly) ...

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Q: Evaluate the indefinite integral. 30 V cot(x) csc2(x) dx

A: ∫cot(x)30csc2(x) dx-∫cot(x)30(-csc2(x)) dx-∫(cot(x))130(-csc2(x)) dx

Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2 1+16...

A: We need to find upper bound on the error.

Q: x³ + 3x dx. x2 + 1

A: