The given curve is rotated about the y-axis. Find the area of the resulting surface. y = -x2 - In(x), 1s x s 3 4

Q: Evaluate: /1-x*dx 3 A +C (B x4) 2 +C 3 3 D--(1-x*) 2 +C E None

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Q: e limit does not exist, enter DNE.)

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Q: Perform the indicated multiplication on the differential operator D. Show your full solution.

A: We have to find out

Q: - 3 Let f(x) = 8xVæ + x2. f'(x) =

A: Use the derivative for finding the answer.

Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of…

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Q: |y csc?y dy is equal to A) y coty+ coty B -у соty + coty dy C) None (D -y coty - | coty dy E у coty-…

A: we have to find out

Q: Suppose that in the inventory problem, the storage cost depends on the maximum inventory size,…

A:

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Given: f(t)=-16t2+444t+8

Q: n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

A: We will use Ratio-Test to determine converge.

Q: Which of the following is NOT a correct way to express the vector v = (2,-4) a) 2î - 4 where î =…

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Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

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Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: Evaluate the line integral |-ydx + xdy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

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Q: Evaluate the following limit. lim /x + 13 x-6 Select the correct choice below and, if necessary,…

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Q: if X-? yk 2 2 3D5 リ+1 yX Find

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Q: Write an equation for the level surface of f(x, y, z) = r² + 10y? + 20z2 corresponding to the level…

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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Q: Find the radius of cunvergen le and the interva) of convergence Of the Dower series n3n

A: Use the ratio test for checking the convergence .

Q: The general solution of the differential equation dy/dx = 12x³ is y = 4x3 + C. Select one: O True O…

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Q: the radios of Cnvergente and the lInterval of conergence of the Pouer series (x-2)" n2 +1

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Q: For the function f(x) ex x>0 a) Determine the coordinates of all critical points. b) Use the first…

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Q: An antiderivative for is: 22 +81+20 1 O In + C I+8 ㅇ 올tan-1 () +C 금i미플의 O In 28|+ C O tsec- (4) + C

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Q: A closed box with a square base is to have a volume of 3000 cm. The material for the top and bottom…

A: Given problem:- A closed box with a square base is to have a volume of 3000 cm³ The material for the…

Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 65 bushels of fruit. She…

A: answer is in next step

Q: Complete the following steps for the given function. a. Use polynomial long division to find the…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Given

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A: Given :

Q: es conve n=1

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Q: (x=1² +3t – 1 + 3t – ; at t=-2. t-2 y = t² +1

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Q: Find the volume of the solid that is bounded by the surfaces z = = 92 - x2 - y2 in the first octant.…

A: 0≤ z ≤ 81-x2-y2z=0x2+y2=920≤y≤81-x20≤x≤9

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1" dollars per…

A: Given problem:- Find the PV of an income stream that pays out continuously at a rate of R(t) =…

Q: Find the derivative of F (x) = S (t3 – t)° dt. O 5( – t)* (3t2 – 1) - O (2 - 2) O 5(x³ – 2)* O 3t2 –…

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Q: Write a definite integral for the area of the region bounded by y = 2 - x² and y = x2. Do not…

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Q: Find the value of n in the following definite integral. " 4x° dæ = 1 Answer: 1

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Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x. JI zdz de dr .2

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Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

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Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

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Q: A rectangular tank with a square base, an open top, and a volume of 5324 ft is to be constructed of…

A:

Q: The position of an object attached to a spring is given by (t) 3 cos(4t) – ¿sin(4t). where t is time…

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Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 9 cos(5x – 6y)j+ 10zk.

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Q: Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer.…

A:

Q: Evaluate the definite integral. e18i i+ i- (*" - 1) j + k O (el" - 1) i - (e" - 1) j + - (e" - 1) +…

A: Given query is to find the value of the integral.

Q: The following differential equation is exact. Find the general solution. (7x + 6y) dx + (6x − 8y3)…

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Q: Evaluate the line integral -ydx + dy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

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Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo.

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Q: Determine the following limits, using o or - o when appropriate, or state that they do not exist. x5…

A: Solve the given limit question

Q: Find out whether the series given below converges or diverges. 00 Σ 5n + 8 n = 1 Choose the correct…

A: Comparison Test: Let us consider two series ∑n=1∞un,∑n=1∞vn such that un≤vn ∀n∈N Then ∑n=1∞un…

Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.