Select the best answer. (2e + 1)= lim (tan(x))- O DNE O -00

Q: Find the limit of s(n) as n . 1 n(n + 1) s(n) = 5.

A:

Q: Find f. f"(x) = -2 + 18x – 12x?, f(0) = 2, f'(0) = 14 f(x) =

A: Here we will find f(x),

Q: 4x +4y+ 8x - 16y = 44 %3D

A: Topic = Geometry

Q: If (-1)" an is convergente then 1/an is n=0 divergente Select one: O True O False

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Q: dy

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Q: A small home business creates muffins, bones, and cookies for dogs. In addition to other…

A: Here, from the given data, let x be the number if muffins, y be the number if bones and z be the…

Q: 6x² – 7x +9 Find the lim Justify your answer. What can you concluc 4x3 +6

A: Given query is to find the limit of the expression.

Q: Find a power series representation for the function and determine the radius of convergence. f(x)=D…

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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: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

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Q: Consider the function f(x) — 6ӕ* — 9a? + 10х — 9. - An antiderivative of f(x) is F(x) = Ax* + Bx³ +…

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Q: Determine how many acres are in 6.7312 x 10" square kilometers. What is your calculated answer most…

A: Given query is to convert square kilometres to acres.

Q: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: 2. Let R(t) = } sin 4t î – bcos“(21) j + 2t k. E

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Q: Find i-l O 36 O 16 38

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Q: ng Part I of the Fundamental Theorem of Calculus, evaluate: da t'dt =

A: Given query is to find the derivative of the expression.

Q: The graph of one complete period of a cosine curve is given. y (a) Find the amplitude, period, and…

A:

Q: 11. Rules of Definite Integrals: I f(x)dx = 6, and "f(x)dx = 4 , find the following: a) c)

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Q: Let f(x) = 4x^2 – 7x. Use the ɛ/ō-definition of the derivative to prove that f(2) =9.

A: given :f(x)=4x2-7x

Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: Consider the function f(x) = 9x° + 9x® – 6xª – 5. - 5. - Enter an antiderivative of f(x). Do not…

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Q: 5. Which of the following is (a) n! n=1 80 (b) n=1 (c) E T=D1 (d) -1)" (2n)! T1

A: We have to find out the power series

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let rr…

A: Given ,  A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: Find all the relative and absolute extrema of the given function on the given domain. (Order your…

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Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

A: Above asked questions are given below.

Q: Evaluate the definite Integral by the limit definition. Step 1 To find the definite Integral dx by…

A:

Q: d the area of the region bounded by the curves y = 3x and y = x².

A: Given query is to find area bounded by the curves.

Q: 7 Find the average value fave of f(x) = x' between -1 and 1, then find a number c in [-1,1] where…

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Q: 1. Answer the following questions for the quadratic function f (x)=x² -8x +8 . a. Calculate the…

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Q: Evaluate csc2 3z dr cot 3r O 6cot 3xcsc3x + c O cot 3x + c Ocot 23xcsc3a + c cot 23x +c

A: Indefinite integration

Q: 4(sinhx dx 5. Evaluate Vi+x? V1+x°

A:

Q: (E – 4)A^ = -글Vyy-3), 1sys 25 ter a fraction, integer, or exact decimal. Do not approximate.

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Q: If f(-x)=(2,-1), what are the coordinates of f^(x)?

A: Given that,  f-x=2,-1

Q: a. Examine the function. Determine the key features. (C4) i. Domain (1, 2.7) ii. Range iii. Sign of…

A: Given problems:-

Q: Given the equation 2x + 3y = 6, a second equation that forms a system with no solution is: O 2x – 3y…

A: Given; 2x+3y=6

Q: Use the direct comparison test to determine if the following series converges or diverges. sin?n Σ…

A: Solve the following

Q: Prove the statement by mathematical induction. 3+5+7+…+(2n+1)=n(n+2) 1. Proposition is true…

A: The given statement,   3+5+7+....+2n+1=nn+2

Q: Solve the following differential equation y" + 2y'+y = x-1

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Q: 75 ft A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of x feet are…

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Q: Consider the real sequence {an} given by an = In(n + 1) – In(n +2), n e Z20 = NU {0}. Justify…

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Q: dx lim dx %3D

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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…

Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

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Q: Solve the trigonometric equations. (a) 2cos (x) = V3 in [0, 2n) (b) tan(x)–1 = 0 in [0, 2n) (c) V2…

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Q: Determine the convergence or divergence of the series. n = 8 converges diverges

A: Given query is to find series converges or diverges.

Q: 00 Σ 2 ni(6x – 1)" n = 1 R = Find the interval, I, of convergence of the series. 1. OI = 1%3{1} O I=…

A: Series

Q: S(e3t + e-3t)2 dt

A: To evaluate the value of given integral.

Q: Given f''(x) = 8x + 6 and f'(0) = 1 and f(0) = 2. Find f'(x) =

A: f''(x)=8x +6integrating w.r.t. x;∫ f''(x) dx =f'(x)f'(x) =∫ (8x+6) dx        =8x22+6x+Cf'(x)…

Q: Find the radius of convergence, R, of the series. 00 (x - 9)" "ח n= 1 R = Find the interval, I, of…

A: Use power series concept

Q: How to find point of intersection?

A: You have to sketch the graphs using a graphing calculator like this: