Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis. y = x*, y = x7

Q: x+dx 1.

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Q: Find the value of n in the following definite integral. S“ 4x*dx = 1

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A: answer is in next step . as per guideline i can only answer one question

Q: dx 2. x²/4-x² V4-x2

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Q: 8n 4n2 n = 1 + 1 f(x) = converges O diverges

A: Given query is to find integral converges or diverges.

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

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A: Given :

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: 2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

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Q: QUESTION 12 Suppose the demand function D(x) = x² – 12× + 36 and supply function S(x) = x2. Find…

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Q: The points P(-2,1), Q(-6, 4), and R(4,3) are three vertices of the parallelogram PQRS. Find the…

A: Given: Vertices of Parallelogram P(-2,1), Q(-6,4), R(4,3)

Q: An iceberg travels due South at 15 km/h in a fast Labrador Current. A passenger ship, 50 km to the…

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Q: QUESTION 13 Refer to the graph below. Find the consumer surplus for the demand function, D, when x…

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Q: Given a = 3 units, = 1 unit and the angle between a and b is 30°, determine o) the exact value of (…

A: Solution:

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Q: t cos t?dt can best be evaluated by: A Power Formula B None (c) Trigonometric Transformation D…

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

A: A separable differential equation can be written is of the form of dydx=f(x)g(y).

Q: At the beginning, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: let weight is exponential growth function

Q: y" – 2y' + y = Ita² 1+x?

A: We use the method of variation of parameters

Q: [y sxy dy is equal to -y cony - J cony A (B у сoly - coty dy Scory dy C у coly + -y coty + J coty D…

A: Solution is given below..

Q: S- dx x?V4-x?

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Q: integral using ir

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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: Consider the following. RX) = x In x², (-1, 0) (a) Find an equation of the tangent line to the graph…

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Q: Verify the identity. csc 0- sin 0= cot 0 cos 0 To verify the identity, start with the more…

A: Solved below

Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 <t < 6. (Use…

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Q: Find the value of n in the following definite integral. Lo 4x dx = 1 Answer:

A: I am attaching image so that you understand each and every step.

Q: Find V. (V × F) if F(x, y, z) = 7 sin xi + 2 cos(2x – 3y)j+ 6zk. V·(V × F)

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Q: Find the arc length of the graph of r(t) = ev2'i + e-V24j+ 2tk, 0<t< v2 In 9 NOTE: Enter the exact…

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Q: 2. Find S +l" dudy by first snitching the order of integration 4

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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: Verify Green's Theorem by evaluating both integrals y2 dx + x² dy = dA ду for the given path. C:…

A: In this question we can verify the Green's Theorem . i.e, ∫C M dx +Ndy = ∫∫R ∂N∂x-∂M∂ydA .

Q: Find the quotient of the complex numbers. Leave your answer in polar form. co cos

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

A: We will evaluate the given integral as shown below

Q: x³dx is equivalent to Using trigonometric substitution, Vx² –4 A 6/ tan*0 seco do B) None © 8 sec0…

A: I am attaching image so that you understand each and every step.

Q: 6x – 10,a -1

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Q: Find V x (V x F) if F(x, y, z) = xyj+2xyz k. V x (V × F)

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Q: nd the indefinite integral using integration by parts with the given choices of u and dv. (Use C for…

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Q: dy Find for dx 3) y = In(vx2 + 1+x) sin¯1x X.

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Q: 1. By definition, which of the following formula gives the derivative of a function at any value of…

A: A detailed solution is given below