d 27. dx ], cos t dt

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Q: Find the limit. Show all work. 2x2 – x-3 2. lim X→-1 X+1

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Q: Test for convergence or divergence, using one of the tests listed below. 1 1 n + 5 n + 6 n = 1…

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Q: 6. Verify each of the following identities: cosx (a) 1-sinx secx + tanx 1 + 1-sinx 1 (b) 2sec?x =…

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Q: 11 a) Use the rational root theorem to find the possible rational roots of 12.r -8r-3T+2=0 b) List…

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Q: 13. Use the Intermediate Value Theorem to show that f(x) = 2x° – 3 has a zero in the interval [1,2].…

A: Given:-f(x)=2x3-3 using the intermediate value theoremf(x) is continuous in the interval 1,…

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Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

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Q: 1 - dx = x² – 6x+8 -4 +C х-2 (A) In x- 2 In 2 (B) +C - 4 (C) 극미(x-2)(x-4)|+ (D) n|(x-4)(x+2)|+c (E)…

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Q: D. Find The or mogonal traectory of the family f aurves y=

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Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: Find the radius of convergence, R, of the series. xn + 6 7n! Find the interval, I, of convergence of…

A: For the series ∑an radius of convergence we will follow the following stepslimn→∞an+1an<1  and…

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Q: Find the average value of the function over the given Interval. (Round your answer to three decimal…

A: Find the average value of the function over the given interval.       f(x)=sin x  ,    0,π Find all…

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Q: Use the properties of summation and 5/ Step 1 To evaluate the sum Si, the following property of…

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Q: Use an appropriate test to determine whether the following series converges. 7 Σ 3 k =1 VK

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Q: Step 1 To evaluate the sum Si, the following property of summation can be used to find the sum. Σ Σ…

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Q: 2. A rocket is launched in the air. Its height (in meters above sea level) as a function of time t…

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Q: Solve using product rule d(uv) = u dv + v du: f(x) = (3x^2 – x + 4) (2x^2 – 1)

A: Our Aim is to solve the given function using the Product Rule where f(x)=(3x2-x+4)(2x2-1)

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Q: If a rock is dropped from a height of 45 ft, its poistion t seconds after it is dropped until it…

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Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 4- 2 3 -2 -3 -4 A(2) = %3D…

A: Explanation of the answer is as follows

Q: xp - )s ɛ

A: As per the guidelines I can solve only first question

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Q: 1. (1 + y?)° dy 2. S sin x+cotx dx sin?x

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Q: 10) Eind the eçuation of the plane Contaihins the two vectors 2and ,and the point PU2ー)

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Q: Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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Q: A Comapny's Marginal cost function is C^1(x)=17/√x) Where X is the number of units. Find the total…

A: Use integration for finding the cost function.

Q: We have found that the partiaular solution of the height function is s(t) = -4.9t + v(0)t + 3 and…

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