Determine whether the series is convergent or divergent. n 3 8 n=1 n° +1

Q: Given the following integral and value of n, approximate the following integral using the methods…

A: Given

Q: What is the vertical asymptote for the function f(x) = 1 4x Ⓒx=0 x = 1 x=4 y=1 ? 61

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Q: Compute the following limit: lim x→∞ e3x

A: Use the Taylor’s series extension of e3x and then simplify.

Q: -2y time does y increase to 100 or drop to 1? Round your answer to four decimal places.

A: we will find the required.

Q: Evaluate the integral. (Use C for the c 1x² 9x x4+x² + 4 dx

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Q: .) Find the volume of the solid whose base is the region bounded between the curve y=secx and the…

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Q: The volume V of the right circular cylinder of height 9 m and radius r m shown in the figure is V =…

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Q: show that: 3 [ f(x) +1] = gf(x)=x²-1, x +4+3 f(x) = f(x) - X-1

A: Given that : f(x) = x2 - 1 and we show that: 3[f(x) +1] = x + 4 + 4f(x) - f(x)/(x-1).       Here i…

Q: The total cost of producing x laser pointers is C(x)=10+√(3x+24) Find the marginal cost at each…

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Q: If f(x) = cos x + sin x, what is f"" (x)? 46 f""(x) = sinx- cos x f"" (x) = sin x + cos x o f(x) =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. Find all critical numbers of the function f(x) = 1/3 sin (6x) -x, on the interval 0<x< Show all…

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Q: Express each decimal in expanded form and as a fraction. (a) 6.2 expanded form fraction (b) 0.25…

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Q: Evaluate the integral by interpreting it in terms of areas. 6² ( 1² x - 2) αx -X dx

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Q: 3x - 5 The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 9x + 2 (a)…

A: Solution is given below:

Q: The instructio says using Miscellaneous Substitution! Please edit your answer

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Q: 2. You are under contract to design a storage building with a square base and a volume of 14,000…

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Q: an || = 3n² + cosn 5n² +1

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Q: Evaluate the definite integral S²₁(9ti +t³j+t¾ k)dt = [[ 0 ]i] ¹₁ + [[ 0 ] i] ¹₁ + [ 0 ]i] ¹₁ = 0

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Q: Let f: R² → R be defined by f(x, y) = 3x¹ + 7y³ +7 and set z = f(x, y). Find an equation for the…

A: To find the equation of the contour line of f at level z=9, we need to solve the equation f(x,y)=9.…

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 15 m/s, its height…

A: Solution: Given data, h = 15t - 1.86t2   a) velocity = h' (t)   → h' (t) = 15 - 3.72t   t=3 h(3) =…

Q: A ball is thrown upward. Its height hin feet is given by h(t) = 104t - 16t², where t is the time…

A: Given height:- ht=104t-16t2

Q: 2. Assume n, i E N, n > 2, and in Calculate the following. Your answers will be functions of n (and…

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Q: Find the limit. lim (csc (2x) - cot (2x) + cos (4x)) = (Type an exact answer.) X→0*

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Q: Use the Laplace transform to solve the given integral equation. 8 -35 / (T - t) ³F(t) dr f(t) = 1 +…

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: The solution is shown below-

Q: How many inflection points does  Which points are inflection points? (List the labels of the points…

A: To find inflection points of the given graph

Q: Consider the region between f(x) = x -2 and the x-axis on [2,5]. For each line of rotation given in…

A: The given data is: y=fx=x-2,  x∈2,5 Given:  Aim: To find the volume of the rotated solid obtained…

Q: A manufacturer sells video games with the following cost and revenue functions (in dollars), where x…

A: Given:- The cost function in dollars Cx=0.19x2-0.00002x3 The revenue function in dollars Rx= 1.054x2…

Q: Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 2, assuming that a(2) =…

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Q: count in a bacteria culture was 900 after 15 minutes and 1800 after 30 minutes. Assuming the count…

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Q: the instruction is by using miscellaneous substitution. please edit the answer

A: Note:- Since you asked multiple solutions ,according to our policy we can solve first question for…

Q: roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

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Q: Average Life Span One reason for the increase in human life span over the years has been the…

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Q: Show whether or not the following limit exists; if it does exist, find its value. 2x³y4 x6 +2y8 lim…

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Q: 1. Find the point (s) at which the following parametric curve x = t², = t³ - 9t intersects itself.…

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Q: Solve the given differential equation. 4ydx - 4xdy + xºdx = 3dx The solution is (Type an equation.)

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Q: 3. Evaluate the double integral fe+y dA, where D is the triangular region in the first quadrant…

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Q: +P от 2+1дет акт гр

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Q: Among all the points on the graph of z=7-x² - y² that lie above the plane x + 5y + 7z=0, find the…

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Q: 6.) Find the volume of the solid whose base is the region bounded between the curve x=1-y² and the…

A: Please see the below picture for detailed solution.

Q: Find the average height of the paraboloid z = x² + y² over the square 0≤x≤3, 0≤ y ≤3. The average…

A: Given data The equation of paraboloid is, z=x2+y2. The limits of the square is 0≤x≤3, 0≤y≤3.

Q: Let 6 sin x + 3 cos y = 4. dy dx d²y dx² -0

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Q: For each function, use our techniques to sketch the graph. Include asymptotes, at least one…

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Q: How many inflection points does ff have? Which points are inflection points? (List the labels of…

A: We have to find How many inflection points does function have.

Q: 2. a) Estimate the instantaneous rate of change of the function at the tangent point (7,9) indicated…

A: Given,

Q: integrate using MISCELLANEOUS SUBSTITUTION H 3x+2 1+√√3x +2 1

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Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the…

A: The given modeled is: Vt=14550 e-0.161t On January 1, 2019, the value of the equipment was $14,550.

Q: Find all the zeroes of the function f(x) = 5x³-54x² + 170x-104; given 5 + ✓ is a zero

A: Given: f(x) =5x3-54x2+170x-104 One of the zeroes of the the given function f(x) is 5+i

Q: Differentiate the function f. f(x)=-3x - 5 F'(x) = Graph y = f(x) and y = f'(x) on the same set of…

A: Given : differentiate

Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $29.04 per…

A: It is given that, At the price of $29·04, 180 shirts are sold and at the price of $21·84, 280 shirts…