Use synthetic division to show that c is a: a. P(x)=x'-4x² + 5x – 2; c = 2

Q: answer does not exist, explain why. x - 1- V3x +1 a. lim- х — 5 1- x b. lim (x – 6)²

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Q: 2. Convert (-V3,) to rectangular form.

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Q: Solve the differential equation: xy' – y = 2x Inx 1.

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Q: g integral. dx

A: Given query is to find the value of the integral.

Q: Evaluate the following integral. 3T s²x dx CoS Rewrite the second of the two integrals found above…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: If f(x) = 6 sin- (x), then f'(x) =

A: We have to find solution

Q: Jacinta wants to use milk and orange juice to increase the amount of calcium and vitamin A in her…

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Q: onvert (-1, v3

A: Given point (-1, 3)

Q: Consider the function: (x^2)/(x^2-4) 1. Find the domain of f. (Using interval notation) 2. Find…

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Q: Solve the equation  ye^(2x)dx = (4 + e^(2x))dy

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Q: da J 5—4г — 2:а? 5 – 4x 2.x 2

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Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

A: To find the general solution of given differential equation

Q: y 6- 7 fX) = x² +3 4 2 (2, 1) -4 -2 2 4

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Q: | (6+xvF)dx

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Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 7 \" 9n2 + 5 00 n =…

A: We have to find out the series convergence test

Q: Find the derivate of F(x): z con(2) V64 – t dt .

A: To find derivative of given function.

Q: 1. Determine the following using the graph of f provided below. If the value is infinite, specify o∞…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x)). You also know that f(7) = 3, f(3) = 3, f'(3) = 3, f'(7) = 10…

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Q: y= f(x) -2- 2 4 8 Evaluate the following integrals by interpreting them in terms of areas: (a) f(x)…

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Q: 72-1 b) En=1an for an 5. )** 00 %3D

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Q: Given the following functions: f(x) = cos(x) g(x) = x" + 1 Find f(g(x)) and (f(x)). (Use symbolic…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to xx or…

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Q: Use the power series Σ 2(-1)^x^, \x| < 1 1 + x n = 0 to find a power series for the function,…

A: Leibnitz Alternating series Test :  Suppose that we have a series ∑(-1)n an where , an≥0 . Then if,…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim (x + Ax)² – 4(x + Ax) + 9 – (x² – 4x +…

A: In this question we can find limit.

Q: A region is enclosed by the equations below. y = 8, 3 x = 1 z + 4' Find the volume of the solid…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9 y dy 6 У - 2у - 3…

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Q: ermine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A: Given query is to find the infection point and interval of concave up and down.

Q: A gasoline tank is in the shape of a right circular cylinder (lying on its side) of length 14 ft and…

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Q: b) Evaluate d. dx = dt Jo

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Q: A roctangular tonk uith a cauaro boco and a volumo of 2.016 e3 dimoncions of tho tank that hac 1o…

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Q: A cable that weighs 4 Ib/ft is used to lift 600 Ib of coal up a mine shaft 650 ft deep. Find the…

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Q: Calculate the indefinite integral: 2x* + 3ī + da

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: The system has NO SOLUTION. see below the explanation

Q: A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) Find the…

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Q: A formula for a function y = f(x) is f(x) = 5x° + 1. Find f '(x) and identify the domain and range…

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Q: Step 4 tan-(8x), then converting back to an expression in x we get u2 + C = 16

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Q: 6 sin(x)dx

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Q: 1 13 + x xp-

A: We will solve the integration.

Q: 1 15. Find the first four terms of the Maclaurin polynomial for f (x) Express this series in sigma…

A: We have to find out series

Q: 1. The planes defined by the equations x + 2y – 2z = 3 and 2x + 4y - 4z = 7 are parallel. Find a…

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Q: Evaluate the integral using integration by parts. 5x dx= %xp

A: solving by integration by parts

Q: 1 Determine by the direct comparison test if Ln=1 2n+1 converges or diverges .

A: We have to find convergence test

Q: Evaluate the following integral. x² dx X +6 x2 dx X +6 II

A: topic - indefinite integral

Q: Use the Ratio Test to determine whether the series is convergent or divergent. (-3)" (2n + 1) n = 0…

A: Solve the following

Q: The following data lists different investment amounts (X) and the amount of interest (Y): X5 Y 2.5…

A: Here is the solution:

Q: Approximate the area under the curve graphed below from a = 3 to x = 8 using a Left Endpoint…

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Q: 18. Find a geometric power series for f (x) 3 centered about x = 2. Write the first four terms. 7-2x

A: Let's find.

Q: Set up an integral for the length of the curve. x = y2 + 6y, 0 s ys 6 OS Vay2. 37 dy OS Vay2+ 12y +…

A: We have to find out length

Q: Compute the derivative of the function y = 5 sin-'(x) at the point x (Use symbolic notation and…

A: We know, ddxsin-1(x)=11-x2