Consider rotating "R" about the x-axis to form a solid of revolution. When we integrate to find the volume of revolution, using a washer method, what will be the volume of a typical slice (a single washer)? On (25 - (² + 1)²). Ar O [(x² + 1)²-5]. Ax Ο π(4 - x2)*. Δε Ο π(x2 + 1)*. Δε

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Q: A trough full of oil of specific weight w lb/ft3, has a length of 10 ft and ends in the form of a…

A: Specific Weight = w lbft3Length of trough = 10 ft,Width = 8ft,Height = 5 ft

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Q: 2n 3n+ 1 (a) Determine whether {an}_1 is convergent. Problem 2. Let an = (b) Determine whether an is…

A: The given sequence is: an=2n3n+1

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = log5 (82x)

A: doamin of logx  is  x>0f(x)=log5(8-2x)for domain  8-2x>0

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A: Ratio Test

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A: The given differential equation is; 2y(x²-y+x)dx +(x²-2y)dy=0

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A: According to question,Given Series,∑k=1∞ ke-k2

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A: The graph of y=f'x is given as , find the labelled points as MAX,MIN,INFL,INT.

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A: The given function is ln(9x3-5x2-6).

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A: Topic = Integration

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A: according to bartleby guideline we do only first three part of multiple  4x2y-3y=x3d dx(xn)=nxn-1d…

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A: The given real functions are:f(x)=4-x8        and          g(x)=1+2x4

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A: Given query is to find the Indicated function.

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A: Total number of rides=7 Total persons=3 Cost of 20 tickets=$5 Cost of an individual ticket=40¢

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Q: Determine the area of the region enclosed by y=sin x, y=cos x, x = π/2, and the y-axis

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Q: 1.1 Calculate the upper and lower sums for the region bounded by the graph of f(x) = between x = 0…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: Integrate the following 3-4x :dx 4x2-6x+e² ·S a.

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Q: (y + √√√x² + y²)dx-xdy = 0 x2 when x = √3, y = 1 I

A: The given homogeneous differential equation can be solved by putting y=vx

Q: aproximate he area under the curve y=x3 +5 from x=1 to x=3 using a left sum with 4 subdivisions.

A: Given that equation of curve is y=x3+5 from x=1 to x=3

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A: Given Function:- f''t=sint+cost

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A: Given :a=d2sdt2v0=15 a=32

Q: Consider the function f(x) = 9x³2x² + 5x – 8. = - An antiderivative of f(x) is F(x) Ax¹ + Bx³ + Cx²…

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A: To find the area of the shaded region

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Q: Given f''(x) = 2x - 6 and f'(-2) Find f'(x) and find f(4) = = 4 and f(− 2) = 1.

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Q: 8 Σ ( ln n) 2 n = 1 n 3

A: GIVEN :∑n=1∞ln n2n3

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