[x² (-2 + x² )* dx

Q: Find the absolute extrema of the function f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. 1. Find the…

A: Graph: For (1), Given: f(x)= 8x3+ 81x2−42x−8 on the interval [−8,2]. From the graph, it can be…

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A: Given: B'(t)=0.621t2-1.213t+15.55

Q: Two vertical poles are 30m apart. The poles are 10m and 15m high, respectively. They are to be…

A: given

Q: In 19 years, Anthony Oaks is to receive $300,000 under the terms of a trust established by his…

A: Solution of given question is written in below steps.

Q: Q4/A/Find for the following functions (+) dx 1. y = cot 2. y = sinxtanx

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Q: (I) Find the critical points of the function f(x) = x + x² + 1

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Q: consider the function f(x) = = on the interval [5,11]. Find the average rate of change of the…

A: Solution of given question is written in below steps.

Q: Find the solution of the differential equation that satisfies the given initial condition. dL=kL2…

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Q: Solve the initial value problem y" + 4y′ − 32y = 0, y(0) = a, y′(0) = -80. Find a so that the…

A: We can solve this as follows:

Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 in./min.…

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Q: Find the first derivative of sin x y = In 1+2 In x x cot x-2(In x) cot x-2 x(1+2 In x) x cotx+2(In…

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

Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

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Q: Find the exact length of the curve described by the parametric equations. x = 5 + 6t², y = 3 + 4t³,…

A: Find the length of the curve   x= 5+t2 ,y= 3+4t2 , 0<=t<=1 .

Q: 3. The point zo = 1 + i is Zo |z| ≤ 1? A. an interior B. a boundary C. an exterior D. an isolated…

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Q: Suppose that f(x, y) = 2x + 3y and the region D is given by {(x, y) | −1≤ x ≤ 5, − 1 ≤ y ≤ 5}. D…

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Q: Complete the table below for each of the functions given: f(x) = x(3x-4) f(x) = 5x² - 6 f(x) X -1 -3…

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Q: Which one of the following functions is odd? Oy = 3x² = Oy y = 3x y = x³ Oy=3+x What is the parent…

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Q: Exercises:- Calculate the following limit statements. x²-sin²2x 1)lim (tanx) cos 2) lim x-0 x² X-2…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: d²y 1. dx² - dy - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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Q: Find the inflection point(s), if any, of the function. Enter your answers as (x, y). If there are no…

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Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

A: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: The graph off, the derivative of the function f, is shown. -20 Which one of the following could be…

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Q: The graph of the function y=f(x) is below. f(x) N C X B From largest to smallest, what is the order…

A: We have to answer given Questions.

Q: If m<A = 29°, m&B = 84°, and c= 14, what are the measures of the remaining sides and angle?

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Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

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Q: What is the sum of the series 00 10 21 21 11 -7)

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Q: 1-sinx x-1-cos2x 9) lim 10) lim TC X- sinx-cosx TL X- 4

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Q: The 2000 census in a particular area gives us an age distribution that is approximately given (in…

A: Age distribution that is approximately given by the function,fx=40.3+2.17x-0.702x2

Q: (2xy²-2y) dx +(3x²y - 4x)dy = 0

A: The given differential equation is;  (2xy2-2y) dx+(3x2y-4x) dy=0

Q: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A: We have to solve given Questions.

Q: Find the average rate of change between x = 2 and x = -4 of the function shown in the table below.…

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Q: -3 √₁² 1 ex+2 dx

A: We have to find given Integral.

Q: 2/5 Find the cost function if the marginal cost function is given by C'(x)=x +3 and 32 units cost…

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Q: BASIC Find a general formula for f. f(x) = 5x² ex (Use symbolic notation and fractions where…

A: We know, d/dx{xn}=nx(n-1), for any real number n  And d/dx{emx}=memx, for any real number m.

Q: What is the area of AABC given mzB = 83°, a = 25 feet, and c = 40 feet? O 561.46 feet² O 496.27…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: Given equation:- 8x2+3y2-176x-42y+1091=0

Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

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Q: Given the function y = 8/x4. (Sketch the graph) a. Find the plane area bounded by the lines x = 1,…

A: As per the company guidelines We can first three parts  only. Please understand. Kindly repost the…

Q: A loan, amortized over 10 years, is repaid by making payments of $1,000 at the end of every month.…

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Q: Given AABC, what is the measure of b? 58 53° Ob=2.899 Ob= 8.555 Ob= 10.619 Ob 11.690 10

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Q: Calculate the higher derivatives. y = 7e¹ sin(t) (Use symbolic notation and fractions where needed.)…

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Q: Find the Volume, Surface area and Lateral area of the rectangular prism shown below if the height of…

A: Concept: The volume, surface area, and lateral surface area of the rectangular prism are:…

Q: y = tan-¹(¹+x) -1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q4-Find the complex roots of (4 + 4i)ō * (4 + 4i) (Demoivere's formula)

A: given

Q: 3. Find the Laplace transform F(s)=[f(t)](s) where f(t)=- ›-4 4 for 0 < t <2 for t≥ 2.

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Q: Solve the following differential equations of d²y dx² +9y=2e³x +18x+18

A: The given differential equation,      d2ydx2+9y=2e3x+18x+18