USE LIMIT COMPARISON TEST TO DETERMINE CONVERGENCE/ DIVERGENCE OF THE SERIES E n+2 3n²+2n²+n+1 n=1

Q: What is r'(x) when r(x) = log₁ Provide your answer below: r'(x) = x²+3x+4 x³tan x ?

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Q: If 0 = = 3πT 4 cos(0) = sin(0) = then

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Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = -1. x =…

A: The given curve .The aim is to find the equation of the tangent line at .

Q: Estimate the area under the graph of f(x) = 25-² over the interval [-1,4] using four approximating…

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Q: Graph the following function:  y=3tan(1\2x−π\6)+2

A: The objective of the question is to graph the given functions y = 3tan(1/2x - π/6) + 2 and y =…

Q: Evaluate indefinite integral using Integration by Substitution. 40x^ e^(2x^4 - 3) dx -45x^4 csc…

A: Note:-Since question1 is incomplete then please repost part 1 again and we will solve question 2 for…

Q: Suppose Then 6 Sº f(x f(x) dx 10 [₁ f(x) f(x) dx = A 5 and 10 [ f(x) 6 f(x) dx = 7.

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Q: 3. Suppose f'(x) is a differentiable decreasing function for all x. In each case, determine which…

A: The objective of the question is to determine which quantity is larger in each of the given cases.…

Q: B ed a A σ Use the right triangle and the given information to solve the triangle. a=2, c=6; find b,…

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Q: Find the derivative of the function y = arctan x + x 1+x²

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Q: Write the following logarithmic equation in its equivalent exponential form. y = ln(7) The equation…

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Q: Find the exact values of the six trigonometric functions of the given angle. Do not use a…

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Q: Consider the following function and graph. y = 49 - x²

A: Region is bounded by y=49−x2,x-axis, y-axisy=049−x2=0x=−7,7x≥0⇒x=7

Q: 5. The accompanying figure shows a portion of the graph of a twice differentiable function y = f(x).…

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Q: Find the integral. √(3x² - 6x+5) dx (3x² - 6x + 5) dx =

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Q: 1. For the equations below, graph the equations and shade the area of the region between the curves.…

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Q: A pizza pan is removed at 7:00 PM from an oven whose temperature is fixed at 425°F into a room that…

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Q: An engineer deposits $900 each month into a retirement account. After 30 years, the balance in the…

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Q: Consider the region R inside the graph of r = 5cos 0 and outside the graph of r = 5 - 5cos 0. Find…

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Q: Given the differential equation: D(D³ + 2D² + 10D)y = 0. What are the roots of the auxiliary…

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Q: Find a Maclaurin series for f(x). (Use f* √ ₁ + 1³ d 1 f(x) = f(x) = x + +*12+Ë n = 2 (2n)! 2"n!…

A: The objective of this question is to find the Maclaurin series for the given function f(x). The…

Q: Which of the following is a solution to x² + 3x - 3y = 0² dx² dx a.y = 8 b. y = 2x c. y = ex d. y =…

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Q: Question What is the first derivative of h(x) = = 4(x³) ? Provide your answer below: h'(x)= =

A: Here we have given a function h(x).

Q: let f be a function with f(0)=1 and f(x)=cos(x2) a) find the linearization of f at x=0 b) estimate…

A: L(x) = f(a) + f'(a)(x-a).

Q: The petal P of the rose r = 2cos 30 that contains a portion of the positive x axis lies between the…

A: .

Q: 4. Let g(2) = 3 and g'(2)=1. Find g(-2) and g'(-2) assuming a) g(x) is an even function. b) g(x) is…

A: The objective of this question is to find the value of the function g at -2, denoted as g(-2), and…

Q: A B (C) f(x) Let f be the function defined above. For what values of bis f continuous at x = 3? D =…

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Q: Find the volume of the parallelepiped (box) determined by u, v, and w. u 91 V 9j W 9k The volume of…

A: To find the volume of the parallelepiped​ (box) determined by .

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Find the particular solution that satisfies the differential equation and initial condition. x²-9 x²…

A: Given,.Given f(1)=9.

Q: Approximate the area under the graph of f(x) = 0.04x4 -1.21x² +72 over the interval [2,6] by…

A: The left endpoint Riemann Sum Rule:Where  and  is the number of subintervals.

Q: Current Attempt in Progress Evaluate the integral using an appropriate substitution. NOTE: Enter the…

A: The given integral is x3+5)3

Q: The ACME manufacturing company makes widgets. Their fixed costs are $800 per month, while their cost…

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

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Q: 4k sin²³ (1 + ²) + 3) (2) - S [* (sin²r + 3) dr

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Q: 15. Graph the function. y = log5 x 9 8 -7 6 65 A 3 2 -9-8-7-6-5-4-3-2-1 r -2 -3 -5 -6 -7 -81 -9 2 3…

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

Q: You will need a calculator or other computing device to do this problem. Let and compute k' (2).…

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

Q: Find the integral. 15 6 X X 15 6 X dx dx =

A: To find the following integral.

Q: Find the Maclaurin series for f(x) = e-³x. Find the interval of convergence.

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: he general solution of the linear system ÿ' = Aÿ is etermine the constant coefficient matrix A. -188…

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Q: The curve graphed below has equation y Q7.1: y = 3 1+ 4x² (x,y) X Find the dimensions of the…

A: We have given the equation of the curve where . Also the rectangle has one corner at (0,0) and the…

Q: For the linear system Find the eigenvalues and eigenvectors for the coefficient matrix. = --[-¹0…

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Q: Determine r' (x) for r(x) = Provide your answer below: r'(x) = sin xex cos x using logarithmic…

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Q: Evaluate. (Be sure to check by differentiating!) √(6+x¹)x³ dx [(6+x²) *xx X (Type an exact answer.…

A: The given integral .We have to find the integral.

Q: Question Given the graph of the function f (x) below, estimate the slope of the tangent line to the…

A: The equation of line passes through points  is

Q: Consider the following dose-response curve: 540 R(x) = 1+539e-0.22 where x is in milligrams.…

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Q: Question The graph of f(x) is given below. Select all of the true statements about the continuity of…

A: we say a function f(x) is continuous at x=a if the limit of f(x) at x=a is equal to f(a) that is…

Q: Find the arclength of the curve x = 3 cos (2t), y = 3 sin(2t) with 0 ≤t< F|+ π

A: Arc length of a parametric curve is given by

Q: (Ⓒ) (-7,-7) -6 -4 -2 6 4 -2 -6 2 4 6 08 -6 -4 -2 6 2 2 6 -6 -4 -2 2 4 6 x

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