Determine the sum of this convergent series.

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A: Given query is to find the the equation of the tangent to the curve.

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A: partial fraction

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A: Given: I=∫cscθ1+sin2θ+sinθcot2θdθ     Use the trigonometric identity; 1). sinx=1cscx 2).…

Q: a) Use the Second Derivative Test to find the local extreme values of the function f(x)=(x^3+27)^4.

A: We have to use the Second Derivative Test to find the local extreme values of the function.

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Q: .C find the firet order parhal dervohve f 4.5 1. z) = e 32 W="y - 10y2³ + 432 hCs, t) =° t?In ts) +…

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Q: Solve the following initial value problem. f′′(x)=−36x^2−18x−4,f′(−1)=13,f(−1)=−35

A: To solve the initial value problem.

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A: The Intermediate Value Theorem: If f be a continuous function over a closed interval [a, b] with its…

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A: Given query is to find direction derivative.

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A: We will solve the integration using integration by parts.

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = x2 +x+1, a=2 O A. P3(x) =7+5(x- 2)…

A: f(x)=x2+x+1f(2)=4+2+1 =7f'(x)=2x+1f'(2)=4+1 =5f''(x)=2f''(2)=2f'''(2)=0

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A: We have to find the limit

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A: x2+y2+z2=1

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Q: (3) 2x Find the linearization L(x,y) of the function f(x,y)= e cos (3y) at the points (0,0) and 0,…

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Q: 15 x2-35 + 25 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C EZ. (x - 1)(x…

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Q: Assuming that out of 200 documents, 40 documents are relevant. A search engine returns 30 documents,…

A: Number of relevant items retrieved =12Total number of relevant items = 40

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Q: 9. Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The area of…

A: Oil spreads in circle on surface of ocean. Area of circle is A=πr2.…

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A: We have to find the value of θ.

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Q: Describe the end behavior of the graph of the function f (x) = 5(4)" - 10. For o, type in the word…

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Q: etermine the absolute maximum and absolute minimum values of the function f(x)= x2 - 11x + 18, where…

A: Given: f(x)= x2 - 11x + 18

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Q: what

A: We will find the velocity and time

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A: Concept: Concavity: If the line connecting two points is above the graph, or if the first derivative…

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Q: 4 Which formula would be used to calculate the trapezoid approximation of L dx using five…

A: We have to use trapezoidal rule. Option B is correct.

Q: II. Find the Inverse Laplace of the following 2s-9 d. s2 +2 1 е. (s²+1)(s²+4s+8)

A: We have to find the inverse laplace transform.

Q: ppose a compa headsets, the cost and revenue functions (both in dollars) are given by C(x) = 32,000…

A: Profit = revenue - cost Px=130x-0.001x2-32000+60x=-0.001x2+70x-32000