R is the region bounded above by the graph of f(x) = 6e-² and below by the x-axis over the interval [1, 2]. Find the volume of the solid of revolution formed by revolving R around the y-axis. Submit an exact answer in terms of .

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Q: I. The daily temparature high can be modelled by the formula T(t) = 57.5 22.5 cos(2πt) where T is…

A: The daily temperature high can be modelled by the formula                  Tt=57.5-22.5cos2πtwhere T…

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A: We will find the required.

Q: Calculate the derivative: (6t4 - 7t) dt =

A: To find the Derivative.

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Q: 1. Calculate ›(3) (52 (a) (8) (b) (8) (52) (52)

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Q: The monthly demand function for a product sold by a monopoly is p = 1,692 - x² dollars, and the…

A: Demand function p=1692-13x2Average cost c=900+14x+x2

Q: Describe the long run behavior of f(p)=−2(p−3)(p+1)3(p−1) As p→−∞, f(p)= As p→∞, f(p)=

A: Describe the long run behavior of f(p)=−2(p−3)(p+1)3(p−1) As p→−∞, f(p)=     As p→∞, f(p)=

Q: Could you find A,B,C,D

A: Given, f(x)=a(x+b)(x+c)(x+b)(x+d)

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Q: Given f(x) = 3 sinx, determine the value of c on (0, - 2 by the Mean Value Theorem. c Ex: 1.23…

A: Topic - Mean Value theorem We are given, f(x)=3sin x  ,  0,3π2 We know that ,by mean value theorem…

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Q: 1) Given the graph of f(x), sketch the graph of f'(x). You may sketch directly over the given graph.

A: Make the graph of f'(x)

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Q: Give the general solution of the given ODE. Show full solution. y′(2x−3) = 2xy+48x−3y−72

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Q: The vector in the opposite direction to ū= (2,4) and of half its length is

A: Given query is to find the Indicated vector.

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Q: In 2011 a country's federal receipts (money taken in) totaled $2.14 trilion. In 2013, total federal…

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Q: A van is traveling due north at a speed of 80 km/h. If the van started off 7 km directly east of the…

A: Solution:

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Q: Suppose that f(x, y) = r²- xy + y² - 2x + 2y with D= {(x, y) | 0≤x≤2,0 ≤ y ≤ 2}. 1. The critical…

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Q: Given that f(x) (a) (f + g)(3)= (b) (f - g)(3)= (c) (fg)(3)= (d) (-) (3)-[ = x² - 7x and g(x) = x +…

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Q: Explain why, in any set of 11 positive integers, some two integers must have the same I's digit.

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Q: In Problems 2-4, find the domain of each function and evaluate each function at x = -1. 2. f(x) = V4…

A: I have solved step by step in detail.....go through the solution

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Q: Find the derivative of the following functions using limits. 1. f(x)= 3x² + 4x-5 2. f(x)=x³2x²+x-3…

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A: Let's solve given diffential equation by using Laplace transform.

Q: If w=-4x² + 8y², x = -s+ 6t, and y = 3s + 2t, find Ət Provide your answer below: дw = Ət in terms of…

A: Given query is to find indicated derivative.

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Q: Which of the following statements imply that thas a vertical asymptote at ? Make sure to select the…

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Q: FB 2.2 Find exact expressions for the sine and cosine of 12

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Q: Find the exact length of the curve. y2 = 4(x + 5)3, 0≤x≤ 1, y> 0

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Q: Find the local maxima and minima for the function ƒ(x) = |x² + 4x − 5|. If there is more than one…

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Q: Answer the following questions for the function f(x)=x√x2+1 defined on the interval −5≤x≤7.…

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Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Find the true statement.

Q: Question Determine the sum of the convergent series below. Leave your answer as a fraction in terms…

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