Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y = 2/x 3 2

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A: Given P(t)=P0  et ln2

Q: 1. Find the average value of f(x) = on [0, 1].

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = x²+Vỹ The domain of…

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Q: Write the following complex number in trigonometric form: - 2 + 2i

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Q: fy any asymptotes, ex

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Q: Find the values of x for which the function is continuous. f(x) 5x2 + 7 7 all x, х # 5 7 O all x, x…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x) = 2x2…

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

A: Let's find.

Q: Question 57 Find the coordinates of the point on the unit circle at an angle of . Give your answer…

A: r=1  (unit circle)θ=5π3x=r cosθx=cosθy=r sinθy=sinθ

Q: 2. In addition to obtaining the domain and range, provide a sketch of the graph of the following…

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Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A: The given function,   f(x)=a+3x+2x2if x<24x2+6x+8if x≥2

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Q: Find the area under the curve y = 0.5x 15 from æ = 7 to a = t and evaluate it for t = 10, t = 100.…

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Q: Differentiate the function y = 2 ln (cos(x)).  dy/dx =

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Q: Given f''(x) = 25 sin(5æ) and f' (0) = 5 and f(0) = 4. Find f Question Help: Message instructor…

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A: We have to find the equation of an ellipse

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Q: Let <0,4,27 < 3, 0 , 1) What is the having the same direction B- ZA + c ? unit vector as

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Q: (d) Find the range of f(x). O (-3,4] O [-3,3] O [-3,1) U (1,4] O [-3,4] O (-3,2) U (2,4] O [-3,2) U…

A: From the given graph we can see that the value of f(x) are varying between -3 and 4.

Q: 4. Represent each of the following in the exponential form: (a) 1+i (b) Vz (c) vi, V-i

A: The objective is to find the exponential form.

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A: Given query is to find the derivative of the expression.

Q: Find all horizontal asymptotes for f(x) Vx2+3 %3D

A: Solve the following

Q: dx (x – 2)Vx² – 4x +3 dx sin-1xV1- x2 L. cos(sec xVx2 – 1 -x) dx 2/V3

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Q: Vx + 32 - 5 Limit. lim x--7 X + 7 O 0.1 O Does Not Exist (DNE or tco) O 10 O 1.4 O 5

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Q: Given the power series expression Σ 4 n x" + 2 n (n - 2) x" n = 0 n = 3

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Q: the sides with length x, there is a gap of 0.5x that has no fence. The goal is to find the…

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Q: 4 3 2 -6 -5 +4 -3 -2 -1 -1 1 3 4 5 -2 -3 y = f{x) -4 (a) lim, f(x)= x→-4+ -3 3 2 O DNE O 1 (b) Is…

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Q: Use the method of undetermined coefficients to find the general solution of the equation y" + 16y =…

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Q: Find the exact length of the polar curve. r = 3 cos(theta),    0 ≤ theta ≤ pi

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Q: The two figures are similar and regular solids. Find their mass if the sum of eir mass is 120g. e1 =…

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Q: b) dx xV5x2 – 4 c) dx 2 + (x - 1)2 d) . /2 2 cosx dx 1+ (sin x)²

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Q: 5 Let f(x) = r I+1 f'(I) - B.

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Q: etermine the magnitude and direction of the vertical shift and the phase shift for the function…

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Q: 3. RK 2 %3D Write the equation in polar form: x + y = 225

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Q: Use implicit differentiation to find the specified derivative at the given point. dy 7. Find at the…

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Q: Si la serie E, a, es condicionalmente convergente, determine cuál de las siguientes series es…

A: The series ∑n=1∞an is conditionally convergent.

Q: Question 12 Find the derivative. y = 126x A (72 In 12)126x B (12 In 6)126x (C) (72 In 6)126x D (6 In…

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Q: True or False: If lim f(x) = 4 and lim g(x) 3, then %3D %3D lim[-3f(x)² – 49(x)] = -60 O False O…

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Q: Evaluate the iterated integral. T/2 r10 cos(0) r dr de

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Q: = -x2-2x+2 and C(x) x2 + 0.5 = 4 C(X) R(x) 1 -2 -1 1 2 The profit, or the area enclosed between the…

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