Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES.) [* 5x-6 dx

Q: Convert the equation to polar form. (Use variables r and as needed.) x = y

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Q: B) f(x)=16x-- 3 43 [0,20]

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Q: Solve the DE. (Homogeneous DE) 1. [xcos2(y/x) - y]dx + xdy = 0

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Q: Find f(x) if f '(x) = sin x-cos x and f (π) = 3.

A: Given f'(x)=sinx-cosx f(π)=3   We are required to findf(x)   f'(x) is also written as dydx and f(x)…

Q: 16. Write the expression below in standard form by completing the square and express the vertex.…

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Q: If dy/dx = 4x/y and y(0) = 5, find an equation for y in terms of x. A x²/2=2y² + 25/2 B. y²/2 =…

A: To solve the following problem

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. √x (3…

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Q: Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.…

A: We have ρ=5, y=x-1 is the density and the equation of the line and the other shape is quarter of a…

Q: The following table shows education expenditure in the United States as a percentage of total…

A: The given data is: Year t (since 2000) 9 15 19 Percentage P(t) 25 27 26

Q: Find the derivative of the function. y = (8x4 -5x²+8) 4 dy To find write y as a function of u so…

A: y=(8x4-5x2+8)4 d dx(xn)=nxn-1ddx(constant)=0

Q: 10. Two ships leave the harbor at the same time. One ship is traveling at 14 miles per hour on a…

A: From the data  after 3 hours first ship travel = 14*3=42 mi2nd ship travel = 12*3=36 mi

Q: Solve for x. log3(x-4)= 5 X = (Separate answers by a comma.) If the answer is radical use sqrt(5) to…

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Q: Find f(g(x)] and g[f(x)]. f(x) = 5x +9; g(x) = 4x-7 OA. f[g(x)]=20x+26 g[f(x)]=20x-29 OB.…

A: f(x)=5x+9g(x)=4x-7(i) f[g(x)], put x=4x-7 in f(x)

Q: 32. f(x)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. √x (3…

A: To evaluate the following integral and to check the answer by differentiating. ∫x3+x3 dx

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [x(3 +…

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Q: Find the derivative of the function. dy dx y= 3 3 X 2 6 + 2 X X Vi

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Q: Find the derivative of the function. 경기 dx y= || - 11 잤

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Q: Determine the x-value of all critical points for the following function. 2x² X-9 f(x) = 2x The…

A: Please see the below picture for detailed solution.

Q: Find the derivative of the following function. y=107x+4

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Q: Evaluate the integral. *3 x² + x + 1 (x + 1)²(x + 2) dx

A: Here we have to find the definite integral.

Q: The greatest GCF(14n + 5, 3n - 2) is:  Why? thanks

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Q: Find derivative in each of the following problems (1-4) 1. y = sec² 2x 3. y=√√x²-1-sec-¹x 2. y = x²…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 1. If f(x)=5x^3+6e^x then f′(x)= and f′(0)= 2. If f(x)=5ln(x)+10/x then f′(x)= and f′(1)=

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Q: Evaluate the integral and check your answer by differentiating. 4x6 / 2² +10²-1 dr == +C

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Q: Find the linearization L(x) of f(x) at x = a. 2 f(x)=√√x+11, a = -5 L(x) =

A: The given function is: fx=x2+11, a=-5 Find the linearization Lx of fx at x=a

Q: Solve for x:

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Q: 2. Find 02z дхду for z = x2 tan-1 Y X

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Q: 3. Find (y) using logarithmic differentiation. Combine rational dx expressions. Factor completely.…

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Q: Find the volume of the solid in the first octant bounded by the sphere x2 + y² + ² = 4, the ㅠ…

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Q: 2. Sketch the graph of the piecewise defined function x² for x 0 Evaluate f(5), f(0), f (-3). g(x)…

A: Given : g(x)=x2for x<0-3for x=0-2x+3for x>0

Q: Find the values of x for which the series converges. (Enter your answer ∞ n = 0 (x - 1)^ 8n Find the…

A: The given series ∑n=0∞x-1n8n. We have to find the values of x for which the series is convergent and…

Q: Find all the inflection points of the function. += 75

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Q: whats the answer to g'(8)

A: see below the answer and explanation

Q: 6. For each series determine if it converges or diverges, and if it converges find its sum: (a) Σ 8.…

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Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Consider the graph of y = f(x) below: y 0 (a) Let S = (-1, 2] be a subdomain for the graph above.…

A: Graph of the function is given, we have to find its image with the restricted domain.

Q: 6. (a) Find the real and imaginary parts of: (i) sin z; (ii) cos z; (b) Find all the zeros of these…

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Q: 1. Find the second order Taylor polynomial for the function f(x, y) = = sin x + sin 2y at the point…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 20. Determine which of the following set of functions is(are) linearly independent on (-∞, ∞).…

A: Since you have asked multiple questions as per company guidelines we will solve the first question…

Q: Use a tangent plane to approximate the value of the following function at the point (5.1, -4.1).…

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Q: Solve for x. log3 (9) log3(x) = 6 X = (Separate answers by a comma.) If the answer is radical use…

A: Given equation:- log39-log3x=6

Q: Solve the equation dy-5y-te'y = 0, y (1) = 1. Let y be the solution of the initial value problem.…

A: Given differential equation:- tdydt-5y-t163ety13=0

Q: Are the following functions monotone in x? Explain your answer. (a) ƒ(x) = x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Need help with the following problems: 1. Solve this differential equation: e^t (dy/dt) = y^2,…

A: we do only first part of multiple questions (1)  et(dydt)=y2y(0)=-14∫etdt=et+c∫tndt=tn+1n+1+c

Q: A military plane is flying directly toward an air traffic control tower, maintaining an altitude of…

A: Given: A military plane is flying directly toward an air traffic control tower, maintaining and…

Q: 2) +2d²y करवर dx² 5x +9y=0, y(1) = 2,y'(1) = 1 dy dx

A: The given differential equation is a Cauchy euler equation. Hence we use the technique to solve the…

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: I = ∫ x ln (3+x) dxLet  3 + x = u       dx  = duand,          x = u - 3

Q: A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted…

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