Find the volume of the solid generated by revolving the given plane area having the given boundaries , y = 0, about the y-axis, y = 2x² x=5

Q: 6. A curve which intersects some straight line in an infinity of points (but for which not every…

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Q: Evaluate the integral given below. Check your answer by differentiating- NOTE: Enter the exact…

A: To evaluate the integral given below. To check theanswer by differentiating.∫16t-6 et dt=?+C

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Q: Differentiate. 7 - 6x +2e¯x + +X y=xe Choose the correct answer below. O A. dy dx OB. dy dx OC. dy…

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

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Q: π 3π The region bounded by y = cos x - 1 and the x-axis in the interval is revolved about the line x…

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Q: Pim [√x²+x - √x² +4 ] X+∞

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Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: answer is in next step

Q: Suppose 0 <m(8)<, and x=2 sec(0). What is the resulting expression if we write √x² - 4 as a…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: Trig Identities Practice Use fundamental identities to simplify the expression. Basic Trigonometric…

A: 1) csc(theta)/sin(theta) 2)cot(theta)tan(theta)+sin2(theta) /cos2(theta)…

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A: We can solve this problem as follows:

Q: dx Using Rationalizing Substitution ·S =ff(v)dy, find fry)dy x√√x-1 O In(y) + C O2ln(y) + C O…

A: To find out the integration.

Q: tan20 Evaluate the limit: Lime +1 2sin20

A: Our Aim is to evaluate the limit of the expression given below:-limθ→1tan 2θ2sin2θ-(i)

Q: Find the total length of the cable. L = 2y + 3√² +6² + constant Differentiate both sides.

A: the solution next step..

Q: evaluate using method of interse trig function 1 17-257² dt

A: Explained below

Q: Using Rationalizing Substitution O a=2, b=3 O a=64, b = 729 O a=4, b=9 O a=8, b=27 729 dx 64 (-3√/x…

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Q: If w = 2x² + 2y + 2z+ cost and x+y=t, find the partial derivatives below. G. (22) X.X C. a. (W) b.…

A: Note : As per our guidelines we are supposed to answer only first 3 subparts if there are multiple…

Q: S If y = arcsin(e?z), dy dr w

A: Solution is here

Q: Evaluate the integral of the following: y*+2y²-1dy;y # 0

A: Let given integral is equal to I

Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x

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Q: TYPEWRITTEN

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Q: Problem. Suppose you are having a dinner party for a large group of people, and you decide to make 2…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: Using Rationalizing Substitution a=4, b = 9 a = 8,b=27 a=64, b= 729 a=2, b=3 729 S 64 dx √x - √√x =…

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Q: Evaluate using the method of trig substitution 6. S dx √16-x²

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Q: 5. Evaluate the integral 2 c2x x2 (x² + 2y³) dy dx.

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumping…

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Q: 1 Evaluate the given limit of the following: lim [(x² - In(x + 1)) cotx] x-0

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Q: Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

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Q: If you evaluate the integral expression |2x - 3|dx the result is Blank 1 (use fraction or decimal in…

A: Topic:- application of integration

Q: If the position of a moving object is s(t)=(sin t)² meters above zero at t

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Q: A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter…

A: Solved below

Q: A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: The cylindrical shell method is to be used to compute for the volume of the solid generated by…

A: Given

Q: Find a. Əw dx a. aw əx and b. y (2π,1,-π) Əw at the point (x,y,z) = (2π, 1₁ - π) if w = x² + y² + z²…

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Q: dentify the graph _____ A. hyperboloid of one sheet parallel to x-axis B. hyperboloid of 2 sheets…

A: answer is in next step. please give a like !!

Q: 0# 7' 7P VE 1-₂72 +67

A: topic - indefinite integral

Q: Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression…

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Q: Let u(x) = sin(x) and v(x) = x¹0 and f(x) 10 - u'(T) v'(x) u'v – uv' f' = V² = II u(x) v(T)

A: We have to solve the derivative

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 8 [+][…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

A: Let's find arc length of given two  parametric equations on interval [0,1].

Q: Find (au/ay), at the point (u,v) =(√2,3), if x = u² + v² and y= uv. ди (2) = (Simplify your answer.)…

A: Given query is to find indicated partial derivative.

Q: The tangent line to the curve at the point (1,2) also passes through d²y the point (-1,4). If at any…

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Q: 6. Set up integrals to compute the arc lengths of the curves y = r², y = 26, y = x¹⁰ defined for z…

A: Let's find arc length of given curves on interval [0,1].

Q: Let f (a, b, c) = cos (ab) + sin (b) + c where f Evaluate af да 73,7) Option 4 Option 1 π 24√3 T|3…

A: Please see the below picture for detailed solution. None of the given options is correct.

Q: dx Using Rationalizing Substitution - =ff(v)dy, find [flv)dy X√x-1 O In(y) + C O Arctan(y) + C…

A: The given integral,      ∫dxxx-1

Q: 50x , where x is the number of units produced. A company has found that the marginal cost (in…

A: