(-1)" Σ Given: sin = x²n+1 for x E R (2n + 1)! n=0 (-1)"(2n + 1) 4" (2n + 1)! Compute the exact value of the sum n=0

Q: 4. Determine the general equation of the plane containing the points P(1, -4, -5), Q(2,0, 13) andR 3…

A: Follow the procedure given below.

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Q: 1. Determine all critical points for the following. Identify the absolute max/min. a) y = 2Vx + 1 -…

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Q: Find and d²y then simplify whenever possible. dx dx² 1) у %3D 3t5 — 2t x = 4t3 2) y = t-3 – 7 x = t²…

A: As per the request of student 4th and 5th answer has been provided. This question can be solved…

Q: C. Determine the Laplace transform of the following function f(x) = x2 1. f(x) = e", a E R 2.

A: Solved below

Q: Find the general indefinite integral. (Use C for the constant of integration.) sec(t)(7 sec(t) + 9…

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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.…

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Q: Determine whether the following converges or diverges. 2n + 1

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Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. r = cos“ 2

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Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

A: As per given question  We are going determine the volume

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive Maximize…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: A(-4, 4), B(12, 12), and C(16, 0). Medians CD, BF, and AE are drawn. dians of triangle ABC are…

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Q: 4x5-3x2+2x-1 Solution of lim is .... x→∞ 5x3+14x²-7x+2

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Q: Use trigonometric substitution if possible dx x? (9x2 – 4)2

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Q: alculate the integral, assuming that 6 f(x) dx = -13 and f g(x) dx = 36. %3D %3D Give your answer as…

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

A: Explained below

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex:…

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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: x² + 2 (х - 2)(х2 — dx 2x + 2) **

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Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

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

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Q: Use AMNP, as needed, to complete the given parts. Part 1: Let h be the height of AMNP. Osino OcosO…

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Q: 9. x=t² +1, y = 3t² + 2t . d y b) Find dx? Show All Work and Give Answer In Simplest Form.

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Q: x? dx (x² – 25)5/2

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Q: QI) Evaluate the integral dy dx using polar coordinate

A: To evaluate the given integral using polar coordinates .

Q: 7. Find the area of the region that lies inside the curve r = 3cos0 and outside r = 1+ cos0. Show…

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Q: Use Gauss-Jordan elimination to solve the system 5x + 7y = -11 2.x + y = 1 Make sure you create the…

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Q: Determine whether the following series is convergent or divergent. 3- Vn (a) n=1

A: Solving

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A: From the given information, we have to find the distance between two kites.

Q: Calculate the moments My and My and the center of mass of a lamina with the given density (p = 3)…

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Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p 100…

A: Given,            The cost in dollars for removing p percent of pollutants from a river in Smity…

Q: 0/ using the test comparing the series Enas n?_2n-3

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Q: 2. Find the sum of the following convergent series. 3n+1 а. 6n-1 b. n=16

A: Given problem :- Find the sum of given convergent series

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

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: tan-(n) Consider the series 1+n² n=1 Using integral test, show that the series is convergent

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Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

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Q: Determine whether the following series converges or diverges. If the series converges, determine the…

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Q: f(x) = 2"[In(cot(x³))]5

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Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, –2) and the vector component of v…

A: Given v=(4,-1,7)      b=(1,2,-2)

Q: Consider a triangle ABC like the one below. Suppose that B= 53°, C=58°, and b=18. (The figure is not…

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Q: 13 Suppose f(x) is decreasing over the interval 5 < x < 13, and / f(x)dæ x = 80. Then the region…

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Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

A: f(x) = 2x*(ln(cotx))2 here we use chain rule  d2x/dx = 2xln(2) d(u*v)/dx = vdu/dx +udv/dx…

Q: Find the equation of the tangent line  -4x2 + 3y2 = -24 ; (-3,2)

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Q: Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric…

A: Given:    C-14 found 83.5 %

Q: Which of the following vectors are not linearly independent? 日L O B O A

A: