the region bounded by y= x+2, y=x^2 revolve about the line y=5   find the region bounded relvoving around the y axis

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A: Given that: The weather in Columbus is either good, indifferent, or bad on any given day.If the…

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Q: Prove that 1² +2². +n* = +n² n(n+1)(2n+1) 6 for every positive integer n.

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Q: The helix of radius R, height h, and N complete turns has the parametrization 2πΝt 2лNt r() - (Rcos…

A: Length of a parametric curve is given by the formula

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Q: 15. If n €N, then 1 1 1 1 + ·+—+—+ 1-2 2-3 3-4 4-5 + 1 n(n+1) 1- 1. n+1

A: We will prove the above statement by the method of induction.If we have to prove a statement  is…

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A: The given function .We have to find the zero of the function using the Newton method.

Q: Obtain the Fourier series in sines and cosines for the function f(t)= -t|t| if t < 1 Draw the…

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A: Given that Ran was  born  exactly 78 days before  Kai born.           and Kai  was born on a Monday…

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Q: Is the series, (-1)"- n=1 2n+5 3n²+4n+5 Hint: Use two tests to verify Using the for A type the test…

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Q: Problem 2. Use row operations to compute the determinant, 0-4 0 4 (a) 0023 0 -4 1 -2-4 2 0 3 -3

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Q: Find bases for the column space, row space and the null space of the matrix A. 1-25 A = 6 -5 5 -18…

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Q: Prove that Σ(8i-5)=4n²-n for every positive integer n. i=1

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Q: Use polar coordinates to compute R(x+y)dA where R is the region in the first quad between the…

A: The region R in the first quadrant between the circles of radius 1 and radius 3 centered at the…

Q: Test the series below for convergence using the Ratio Test. (-1) "10²+1 (2n + 1)! n=0 The limit of…

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Q: Find the sum of f(x) and g(x) if f(x) = 2x2-3x+4 and g(x)=x+3. Select one: a. 2x²-2x+1 b. 2x²-2x+7…

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Q: Select either a) or b) to solve. Please indicate which problem you solved. Solve the IVP using the…

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Q: 1)State the expression for the central difference representation of O(2) for nth derivative of a…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Let f(x, y) = 2y² - x². Compute the following: (a) Find the gradient V f(x, y). Give your answer…

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Q: A VA B F rank ([₁ ⠀ IB : rc])= rank ([rB rp : rc]) = LetrAB = FB - FA and etc., calculate: FAB (TAC…

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Q: Assume lim|C₁1/n <∞o. Show that if we set then f(2)= ΣCn(z-a)", n=0 Cn = f(n) (a) n!

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Q: Let p = 0 Pixi be a polynomial of degree d with po ‡ 0, and let a = {an} be a sequence that…

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A: Consider the vector space We  have  to prove triangle  inequality   that  is  we  have to how that…

Q: + +y = 8(t− 2), 8: Kronecker delt. dx4 dx y(0) = 0 d -X(0) - 1

A: Given differential equation(Note : There are some misprints in the question that I have corrected)

Q: If A is a 9 x 9 matrix and det(A) = 2, compute det(-A).

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Q: TO 1 -0,0871 FF -0,996 5,78 0 LO 0 F, F 0 8,25 [52,6]

A: Linear algebra

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Q: Graph f(y)=y^2(1-y)

A: Domain

Q: 23. The table below shows the number of vehicles parked in a downtown parking lot over a three day…

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Q: dy y X хр 18 + y

A: According to the given data, find the general solution:

Q: nsider the differential equation dy/dx-7-y. (a) Either by inspection or by the concept that y=-=<x<,…

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Q: 3. Prove that 1³ 1³ 3 +2³ +3³ +4³ + +...+n³. 3 n²(n + 1)² for every positive integer

A: The statement is: for every positive integer .To Do: Prove the statement by induction.

Q: 5. (a) Verify that a cubic function z= ax³ + bx² + cx+d is in general neither quasicon- cave nor…

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Q: 4) Σ=1

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Q: H Use Neumann series to solve g(x)=1+ f(t)di. 0.

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Q: Q13) {t+sin² t} = (A) + 1 [-] (D) 3 + 1 [-2] s²+4 (B) 3+ [4] (Ⓒ) + -] +4 (E) +-

A:

Q: A remote village receives radio broadcasts from two radio stations, a news station and a music…

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Q: 6. Find the DE of parabola with vertex and focuson the (+)- axis.

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Q: Let the sets A=(-6, -5, -2,2,4,5,6,8), B=(x:x^3<125 ) and C={x:\x|<8 }, Which of the following is…

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Q: 12. Prove that 9 (43 +8) for every integer n ≥ 0.

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Q: Sketch the function y = i. ii. iii. iv. V. vi 7x² x3 using the following steps. Domain Intercepts…

A: As you have mentioned I am answering (vii), (viii) and (ix)Given function

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Q: 700 (p+9)4 For the demand function q = D(p) = a) The elasticity b) The elasticity at p = 7, stating…

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Q: 6- Given data table below. Compute f'(x) at z = 2.0 for Az = 0.2 using central Finite Difference…

A: We have to solve the given problem using central finite difference table.

Q: In this problem, y = c₁ex + c2e-x is a two-parameter family of solutions of the second-order DE y" -…

A: