Use the shell method to write and evaluate the integral that gives the volumme of the solid generated by revolving the plane region about the x-axis. 2 1 8 12 16

Q: Find the limit. lim (2 – x)3 tan(a) x→1

A: limit

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Q: 2. S(4a³ – 6a² + 15a)(-a² + a – ) da

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A: r= a+b sin x  Is an standard form of cardioid

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Q: In x f(x) (1, 2] 4x

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Q: A company that produces cell phones has a cost function of C = 10x² – 390x + 8717, where C is the…

A: Topic = Derivative

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A: The objective is to find the distance between the kites.

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Q: Solve the following initial value problem. y'" + 64y = sin 2x; y(0) = 1, y'(0) = 0 The solution is…

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Q: : Find the following indefinite integrals.

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Q: r = 6 - 5cos0 O circle

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Q: 1. a) Find the point of inflection(s) of f(x) = x³ – 6x2. If an answer does not exist write DNE) b)…

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Q: a) Sketch the region S enclosed by the curves y = Vx – 1 and y = (x – 1)?. %3D b) Find the Area of…

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Q: Use the graph to match the integral for the volume with the axis of rotation. (a) O () r-axis O (i)…

A: Solution )  a) outer radius R = a  Inner radius r = f(y)  Limit of y  0 to b So rotation of volume…

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

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A: Find your answer below

Q: Using a graphing calculator, estimate the real zeros, the relative maxima and minima, and the range…

A: Please see the answer below.

Q: Let P = f(t) = 600(1.04)' be the population of a community in a year t. If the percentage growth…

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Q: (In x)³ 13 dxp

A: Topic  = Integration

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A: The velocity of a particle at any time t is given as: vt The acceleration of a particle at any time…

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: We need to complete the description of the graph.

Q: A company finds that the number of new products it develops per of dollars), according to the…

A: Please refer to the image below

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A: Given that the integrand of the definite integral is a difference of two functions. Here we have to…

Q: If f(x, y) = cos (xy) – 7y, then fx(0, x) = 0. %3D Select one: True O False

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: (3x² – 6.xy)dx +(-3x' – 2y)dy = 0

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Q: The demand function for a particular pair of sunglasses is p = 135 – 0.095q. (a) If the sunglasses…

A: The given demand function for a particular pair of sunglasses is: p=135-0.095q...(1) where q is the…

Q: The marginal cost for a company to produce q items is given by MC(q) = 0.002q - 0.7q+620. The…

A: Find your answer below

Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

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Q: f(x) = x - 16 Ос. х%34, х%3 - 4, у%3D0 O D. x-4, x= - 4 Choose the correct graph below. OA. OB. OC.…

A: Given query is to find the asymptotes and the graph.

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Q: CS

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Q: 9. Given z=x siny + 2x*y- cos(xy), calculate or z yr C) cosy+4x +x cos(xy) + ysin(xy) D) cosy+4x +…

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Q: find the range 1) y = /1 – 2) y = /3– x V1-x

A: Given: 1.y=1-x22.y=3-x

Q: PROBLEM [ B6 (a) ] : Obtain the differential equation whose general solution is y = a sin 7x – b cos…

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Q: If+y = 25 and dz/dt = 5 , find dy/dt when y is positive and %3D %3D (a) z = 0 dy/dt = 0 (b) z=1…

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Q: In a one-dimensional Kinematics experiment, an electrically charged particle is moving along a…

A: Find your answer below

Q: 8. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: topic - application of derivatives

Q: (approximations:Numbers of significant digits in).Suppose approximations a≈a*, b≈b*,....,z≈z* are…

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

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Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, -2, 1, 5} }…

A: We can find the range and graph the polynomial as below.