is ' (3n– 1)? n=1

Q: Let f(x) = - 5 sec(6x) f (x) =

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Q: Use the limit comparison test to determine if the series converges or diverges. 00 22) E 6n3/2 + 7n…

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Q: Evaluate the following definite integral.  4

A: topic- definite integral

Q: Twenty-five

A: We will find the probability.

Q: Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population…

A: We need to estimate the carrying capacity.

Q: f(x)=/1+2sin x j. f(x)=e" +4* +sinh(10x)

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Q: 4) Find all values in the interval [-27,27]at which the graph of f has a horizontal tangent line.…

A: topic- functions and derivatives

Q: To find the distance AB across a river, a distance BC 1226 m is laid off on one side of the river.…

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Q: 2. Find y ify=xIn (axt1)

A: We will find the derivative.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Consider f (x) = 5 cos (2x). Using the given function at xo 0, approximate f (2n/3) by making use of…

A: Let's find.

Q: The three basic trigonometric substitutions are in the table below. Integral Contains Try using…

A: We will solve the integration.

Q: Indicate whether the given series converges or diverges. If it converges, find its sum. 00 17) E Wik…

A: Solved below

Q: Write a formula for the nth term of the following g 2, 8, 32, 128, Find a formula for the nth term…

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Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

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Q: Find the work done by the force field F in moving an object from P(-4, 8) to Q(6, 4). F(x,y) = 2* 1…

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Q: 2² – 2, a 3 is continuous everywhere. f(z) = O true O false

A: Given: fx=x2-2,  x≤3x+4,  x>3   As we know that; The function will be continuous at x=a when,…

Q: Give your answer correct to Use differential to estimate the value of y 4.01 V4.01 8. four decimal…

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Q: 25. Compute the Riemann sums for the function f (x)=x² on the interval [0,2] associated with the…

A: See this solution in below

Q: Use the chain rule to find the derivative of 3(– 82° – 2=")" - You do not need to expand out your…

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Q: -1 Su(u² + 3)! du

A: We need to solve integral.

Q: dv 4.)Prove that f -Incosv + Insinv + C sinvcosv

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Q: Complete the equation. V-14x ). arccos X- 7 = arctan 7 <x < 14 7

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Q: Find the area of the shaded region. y = x² +1 %3D 5 y = x -1 A 23 2. 2/2

A: Given

Q: long

A: We will use long division method.

Q: Finding the length of a curve. Arc length for y = f(x). Let f(z) be a smooth function over the…

A: To find the arc length of given function.

Q: 8. Use vectors u = -3i - 3j, v = -li, and w = 5i + 6j %3D a. Determine the angle between u and w. a.…

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Q: -12 1. ("(25x – 46x + 3)dx -12

A: topic- definite integral if f(x) is a odd function∫-aaf(x)=0

Q: Find dy for the given values of x and Ax. y = 5x° - 9x, x= - 2 and Ax= 0.2 dy =D %3D (Round to the…

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Q: A mass attached to a vertical spring has position function given by 8(t) = 4 sin(4t) where t is…

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Q: Find lim, x4x+3 X-5x+6 X-X

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

Q: Find the equation of the tangent line to the graph of y = x3 + 3x2 + 2 at its point of inflection

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Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 – r) + 7e

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Q: Find an explicit formula for an. 1 1 4'9' 1 1 14) 1, 16' 25

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Q: The graph y = cos x, given the domain has x-intercepts at 2 37 and 2 2 O T 3R 2 and 2 2 2 37 and 2…

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Q: k. f(x)=cosh(x³)+ sinh(10x) 1. f(x)=In(x* +1)

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Q: Determine using the giveti graph if the function f is contimuous on the following intervals: EXAMPLE…

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Q: Express the series using sigma notation. 5 + 8 + 11 + 14 + 17 25(3) n-1 5 23n+2 n-1 23n+2 n-1 C5(3)1…

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Q: 1. (sin x(cot x) = cos x OSX L.S. R.S.

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Q: S csc-2a(seca)-da

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: x(2x² – 1)" dx After substitution is performed, which of the following is equivalent to

A: Given, ∫14x2x2-17dx

Q: A line is given by the equation y = x in rectangular coordinates. V3 Which of the following…

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Q: Use the definition of Taylor series to find the first three nonzero terms of the Taylor series…

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Q: Set up and simplify the surface integral ∬S F dS where F(x,y,z) = 2xi + yzj - √y k and S is the part…

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Q: Perform the following operations and express the results in rectangular form: a. (8.21+j4.31) –…

A: Rectangular form

Q: Given line M=-ax+ by+ c, b+ 0 What is the y intercept of the function? C-M -M-C OM-c

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Q: (c) F to

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Q: If f(z) = 4,/ In(x), find f'(x). Find f'(2).

A: Given function:fx=4xlnxWe need to find f'x and f'2.We will use the following…

Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

A: