Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. NOTE: Enter the exact answer as improper fraction if necessary. 1 %3D 16k2 + 8k - 3 k=1 2.

Q: 1. Differentiate each of the following with respect to x (find y' =2). Do not simplify your answers ...

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Q: Find cot (3pie)/4 without using a calculator.

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Q: 3) Does E-1 ati converge? 00

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Q: Do not skip any steps Find the numerical value of both expressions. Give the exact value and do not ...

A: QUESTION-  Find the numerical value of both expressions. Give the exact value and do not use a calcu...

Q: Given f: [2, )IR, prove that fn (x) = けx" It, converger uni formly to f6)-o.

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Q: Find constants c1 and c2 such that: G(x) = c1xe^−x + c2e^−x is an antiderivative of g(x) = 3xe^−x. ...

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Q: What do I say?

A: Simplify :     csc(x)+cos2(x)sin(x)

Q: If the limit of f(x) is 5 and the limit of g(x) is 2 as x approaches a constant k, what is the limit...

A: If the limit of f(x) is 5 and the limit of g(x) is 2 as x approaches a constant k, what is the limit...

Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

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Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

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Q: You are designing a poster which has a border around th printed portion. The border is 2 inches wide...

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Q: Determine the general solutions of the following non homogenous linear equations. 1. (D² + D)y = sin...

A: As per the instruction, we will be answering the first one. For (1),         D2+Dy=sin x The charact...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

A: The given limit limx→∞4x-34x+54x+1

Q: general

A: Please refer to the image below 

Q: When x is less than or equal to 2, what equation is shown in the graph? a. f(x) = | x - 1 | b. f(x)...

A: Given question:- When x is less than or equal to 2, what equation is shown in the graph.

Q: y : 3

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Q: Jse the Quotient Rule to find the derivative of the function. cos(t) f(t) (t)

A: We will use the quotient rule of differentiation to find the derivative.

Q: find the work done by F over the curve in the direction of increasing t. F = z i + x j + y k r(t) = ...

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Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   −∞ x (x2 + 4)2 dx

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Q: An ice cream shop estimates that the revenue (in dollars) from the sale of x cones is given by R(x)=...

A: Given: - The revenue from the sale of x cones is given byR(x)=11000ln0.02x+1 To find: - The change i...

Q: Plot P(2, -4, 1) and Q(0, 3, 4) on the same set of coordinate axes

A: Give query is to plot P(2, -4, 1) and Q(0, 3, 4) .

Q: 4. Given that aj = 3, ) ak = 1 and ) bk = 5, it follows that k=1 k=1 Eak and > 2ak + bk k=2 k=1 8. |...

A: Calculus   -  summation and  series 

Q: • Why do we need the Chain Rule in implicit differentiation? Show with an example and describe how t...

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Q: anager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $5400 t...

A: Given query is to find linear relationship, slope and the graph.

Q: Evaluate the indefinite integral. cos x tan³ x dx 3

A:    ∫cosxtan3xdx=∫1-cos2xsinxcos2xdxLet  u=cosx=∫ -1-u2u2du=∫ -1u2+1du=-∫1u2du+∫ 1du=--1u+uSubstitute...

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: 16) The following initial value problem model the payoff of a loan. Sol the initial value problem, f...

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Q: The immigration to the United States from Europe, as a percent of the total immigration, is approxim...

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Q: Write the following in terms of sine, using the cofunction relationship. cos(5π/9)

A: We have to write in sin form.

Q: The ideal gas law PV = nRT gives a relationship between the pressure P in pascals (you can read abou...

A: Given: The ideal gas lawPV = nRTP : pressure                           variableV : Volume           ...

Q: S: sec h udu = tan"(sin h u) + C -1

A: Follow the procedure given below.

Q: estimate the following limits and the function value. Complete parts (A) through (D). Use the graph ...

A: This question is related to limit. Solve in step 2.

Q: 2. H(x) = 4x2 + 4x - 4 %3D Circle the correct choice: Concave up or concave down? Vertical Stretch, ...

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer i...

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Q: If the length of a certain rectangle were increased by 2 feet and the width decreased by 1 foot, the...

A: Let's find. 

Q: 30 25 (11,20) 20 15 10 -5 -10 -15 -20 (19, -15) -25 -30 20 -15 -10 -5 5 10 15 20

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Q: Question 2 Consider the region R in the ry-plane bounded by y = e", y = 1 and r = 1. (a) Set up, but...

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Q: d the der

A: Introduction: The formula of first principal of derivatives is given by, f'(x)=limh→0f(x+h)-f(x)h Wh...

Q: If the graph of y=e^-cos graph coordinates are (1.57,1)(x1,y1) what would the (x2,y2) be at a point ...

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Q: |sin² xcos“ xdx

A: The given integral is: I=∫sin2(x) cos4(x) dx

Q: x2 - 2x + 1

A: The expression to calculate the the antiderivative of the given function: Fx=∫fxdx   The Power rule:...

Q: Above is a representation of sin 0 = where < 0 < and cos B = where < B< 2. Find 97 cos(0 - B). *Leav...

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Q: dy • Use logarithmic differentiation to find for dx Y = xln x • If we did not have logarithmic diffe...

A: Given that: y=xlnx       NOTE: As per our answering guidelines, we can only answer 1 question or 3 s...

Q: 6. (D³ + 8)y = 0 7 (D4 81)v = 0

A: We will find the general solution for given differential equation as shown below

Q: 7- 3t+ sin 6t Find the limit of f(t) = as t approaches - 6t + cos 6t 1 lim f(t) = 2 t→- 00

A: Given problem:-

Q: Express the repeating decimal as a fraction. 0.451141414141... 0.451141414141...

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Q: Consider the function (1 ifz1 Evaluate the definite integral. f(z) dz

A: we have to integrate fx 

Q: Calculate two iterations of Newton's Method for the function using the given initial guess. (Round y...

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Q: 4. Write a formula for a quadratic with the given features: x-intercepts (-3, 0) and (1, 0), and y i...

A: We need to find quadratic formula.

Q: A company can sell x units of a product when the price is p = D(x) = 3.00 – 0.002x dollars. The tota...

A: Given , No of unit =x Price=p Also given P=D(x) =3.00-0.002x and C(x)=0.006x2+0.52x+270 Hence,