Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. X = 2y², x = y² + 4; about y = -5

Q: Suppose the cost to make a widgets is given by C(x) = 2x² + 4x + 2. Find the marginal cost function…

A: The given cost function

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Q: Step 1 of 4 Find lim foo 10 3 Enable Zoom/Pan

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Q: Find the slope of the line tangent to the polar curve at the given point. 7x (-3- r= 6 sin 0; Select…

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Q: Perform the following operations and simplify the results. State the domain restriction in each…

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Q: 9. The angular displacement of a spinning shaft is given as = 0.7t² - 5t+3, where is in radians and…

A: Given that the angular displacement of spinning shaft is where  is in radians and t is in seconds

Q: (3, 7/7). 2 Plot the point whose polar coordinates are (3,

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Q: lim У-у-г уг -30+2 зу Уже

A: We have to findlimx→−2

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Q: d. f(x) = 2 f(x)=√x e. f. f(t) = g. √√t ² f(u)= ut + u² + ¹ น

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Q: 15. An open rectangular box is to be made by cutting equal-sized squares from the corners of an 8"…

A: The dimensions of the box are:Length: L=15-2xWidth: W=8-2xHeight: H=x

Q: Suppose that we're making and selling some widget and the revenue (in dollars) when making a widgets…

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A: Trigonometric function can be used as parameterization of many curves, this is thanks to the use of…

Q: Let sin A = (-1/sqrt10) with A in QIII and tan B =(3/4) with B in QI. Answer Exactly. Find tan (A+B)…

A: Given,

Q: Find the cube roots of 125i. (Enter your answers as a comma separated list.) Sketch these roots in…

A: The given complex number is By De Morive's theorem The nth root of a complex number is

Q: Find the cost function for the marginal cost function. C'(x) = 0.07e0.05x; fixed cost is $7 C(x) =

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Q: 7. Evaluate the definite integral. a. b. С. 9 cos(xt/2) dt в'ітетка 1+ * = dx 47 dx

A: The given intergals are

Q: 14. A rectangle has its base on the x-axis and its upper two vertices on the parabola y =12-x². What…

A: The second derivative test states thatWe use this to solve the given problem.

Q: Let sinA=-4/5 with A in QIII and cosB=-3/5 with B in QII. Anwer Exactly. Find sin(A-B), cos(A-B),…

A: Given,

Q: Let sin A = -1/sqrt10 with A in QIII and tanB = 3/4 with B in QI. Answer exactly. Find tan (A+B) and…

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Q: A 100 m long rope hangs from the top of a mine shaft, and is attached to a crate full of coal. The…

A: The objective of this question is to calculate the total amount of work done to lift the rope and…

Q: Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose…

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Q: 224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t –…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Consider the following integral. ƒ(9e¹) e* dx By making an appropriate substitution, the above…

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Q: Evaluate ∫∫∫E 1/(x^2+y^2+z^2 )dV where E lines between the spheres x^2+y^2+z^2=4 and x^2+y^2+z^2=16…

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Q: An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is…

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Q: Find T 1 = -1 wwwman x² dx + C

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Q: 5. If A = (611). 0 then eª = e e (8 €) e

A: A=

Q: Fill in the blank Thank you

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Q: Which of the following is an appropriate choice for & when proving the following limit? Assume ɛ > 0…

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Q: a) Convert the point whose polar coordinates are (4, 5pi/4) to rectangular coordinates.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Let h(z) = 2¹/3 Determine the most general indefinite integral of h. 1/3 dz

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Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

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Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: Monte Germany: Attempt 1 Which equation is correct? 4x^(3)(6x^(2))=10x^(6)

A: 4x^(3)(6x^(2))=10x^(6)is correct?

Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

Q: The derivative F' (t) is graphed in the figure below. Given that F (0) = 12, calculate F(t) for t =…

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Q: Find ∫∫R x^2dA where R={(x,y)∣9x^2+4y^2≤36

A: To find the double integral , where R is the region defined by  ythe ellipse defined by The…

Q: The approximate rate of change in the number of design patent applications received in recent years…

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Q: Simplify the following complex fraction; State the domain restriction: 1 X|N 2 1 1 X 1 -

A: To simplify the following complex fraction. To state the domain restriction.

Q: :) 2 ↑ t Suppose g(x) fict) > 0 Por all Investigate whether gaxs min. (ii) an inflection local max…

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Q: Find the indefinite integral and check the results by differentiation S(4x²+ + 3)²dx

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Q: Evaluate the integral: 0 x = (A) Which trig substitution is correct for this integral? Ox= 16 sin(0)…

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Q: didnt work

A: We have to find the rate of change of difference of temperature.

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: from the given table

Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-4). f(x) = 3x² + 6x – 13 g(x)…

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Q: Find ∫∫D(4x+5y)dA where D={(x,y)∣x^2+y^2≤1,x≥0}

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Q: Evaluate the integral. 3 f(x) dx where f(x) =26-x² if -4 ≤ x ≤ 0 if 0 < x≤ 3

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Q: =e*² and y = x²e² don't have elementary antiderivatives, but y = (2x² + 1)² does. Evaluate [ (2x² +…

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Q: Find the average rate of change of the function over the given intervals. f(x) = 12x³ +12; a) [5,7],…

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