1 2n 1. Consider an = tan-1n a. Determine if the sequence {an}n=1 converges or diverges. b. Is the series =1 an convergent or divergent? Explain briefly %3D1

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A: Here we finding the s.

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A: We have to find the local maxima,local minima and concave downward.

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A: We have to find general solution.

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A: Follow the procedure given below.

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A: The given series,        ∑n=0∞(-3)nx-2nn+2

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Q: Find the aveas for Ehe following Vegions: 3- Regiun bounded by y=メナy=X and y=2 4-Region bounded by ५…

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Q: 9. х%3D? +1,у%3г? + 2г. a) Find dy/dx t² +1, y = 2t. Show All Work and Give Answer In

A: Topic = Derivative

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Q: Q4. Solve the following problem using the simplex method: Minimize z = x- 4y Subject to 2x - 3y <6 x…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity, use variables  the given…

Q: Qeustion 1 Let f(x) = x³. 1. Choose right endpoints in the Riemann Sum to express the area under the…

A: fx = x3∫01fxdx =limn→∞1n ∑i=1nfxi ; where xi = in                                     1∫01fxdx…

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Q: 4. (a) Find the vertical and horizontal asymptotes. (b) Find the intervals of increase or decrease.…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) x3 + 12), 343 x*+C 2

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Q: 1. Evaluate the integral. Shade the region whose net area you have found. Ax) a). 4 b). (x² – 2x –…

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Q: Evaluate the iterated integral by converting to polar coordinates. (Round your answer to four…

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Q: x2+2x+17 If f (x) = then f continuous on the intervals... x²-1 (-0, –1); (–1,1); (1, 0) (-0, –1);…

A: Let's find.

Q: dx J (x² – 25)5/2

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A: We have to find 3rd degree polynomial for the given function.

Q: and simplify: y = csch² (x² + 1) da Find dy

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Q: dx (x2 + 1)(x2 — 2х + 1)

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Q: Find the coefficient for x' when |V1+ x° dx is expressed as a power series. -1 256 -1 64 1 56 120…

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Q: (c) пcos (пп) 2n n=1 Hint: For part (c) write out a few terms to see the behavior of this series.…

A: We have to find out converging &amp; diverging nature of given series .

Q: x2 — бх + 9 Убх — х2 хр

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Q: Solve the system of equations by any method.   −4x+8y    =28 x−2y    =−7   Enter the exact…

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Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); i и

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Q: 3) The region bounded by y = x³ – 1 and x- axis on the interval [-1,2].

A: We need to find region bounded in given interval.

Q: Evaluate: - / (e* -e*)dx e ¯X+C 2 A | B) None cosh x +C 1 - sinh x +C 2 D E sinh x +C F -cosh x + C…

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Q: Use the indicated change of variables to evaluate the double integral. 8(x + y)e* - Y dA x= u + v) X…

A: x=12(u+v)y=12(u-v)u=x+y, v=x-y(x, y)=(0, 0): (u, v)=(0, 0)(x, y)=(1, 1): (u, v)=(2, 0)(x, y)=(-1,…

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 27) for…

A: answer is in  next step

Q: 4). | (5 sin 2x) dx = 2

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Q: Determine the derivative of each function using the limit definition. 1. Y = 2 – 7x - 2 = 4 – 5x –…

A: f'(x) = limh→0 f(x+h)-f(x)h.

Q: Evaluate the integral - dx · 1- sin x cos X

A: The given integral,       ∫cos x1-sinxdx

Q: Find the general solution of the given differential equation. (* - 9) + by = (x + 3y? v(x) = Give…

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Q: Find the area of the shac y y=xV4-x 2 y 0 21 y=0 2 square units

A: The region is bounded by the curve y=x4-x2 between x=-2 to x=2

Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…

Q: Consider the ellipse with the given characteristics. foci: (0, 0), (0, 10); major axis of length 18

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Q: Use the second derivative test to find the location all local extrema in the interval for the…

A: We need to find local ma and min.

Q: Consider the function g(0) = 3 · cos 2 a. What is the amplitude of g? Preview b. What is the period…

A: This is a problem related to trigonometric function. Based on the general formula we will answer the…

Q: Find the area A. Round the answer to three decimal places. 15) A 4 7 cm 2.

A: Explained below

Q: Solve [15x/1- xdx . S 3xV3x2 + 4 dx = --

A: 1) the given integral is 15x sqrt(1-x). 2) the given integral is 3x sqrt(3x2+4).

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y + z =…

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Q: Give the parametric and symmetric equations of the line that passes through the point (4,-3,5) and…

A: I am attaching image so that you understand each and every step.

Q: If m < f(x) <M for a <x s b, where m is the absolute minimum andM is the absolute maximum of f on…

A: We need to find smaller and larger value.

Q: state whether Converges diverges

A: To state whether the given series converges/diverges. ∑n=1+∞-1nnnsinn1n2n

Q: 17495 17.298 Solve these equations for x and k: k(17.00)*= 0.1120 (Hint: divide one equation by the…

A: k(17)x=0.112 →(1)k(30.6)x=0.2016 →(2)dividing both…

Q: Find the third degree Maclaurin polynomial for f(x) = cot-1(x) and use this to approximate…

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