Find the Volume of the solid obtained by rotating the curve 1 for 1 < x < 4 1+ x2 around the line r = -1. Indicate the method you are using.

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: 1. Use the Euler, improved Euler and Runge-kulta methods to Solve the folllowing ODE s: 42 y =0 C. y...

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Q: 1. Evaluate the following integrals: e) dx |-x² + 4x – 3 f) . dx J (x – 2)Vx² – 4x + 3 -

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Q: dy dx take 2. Solve |xy+1 with ycu) =1 for finding y(o.075) h=0-025

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Q: Salve the fullowing equations using bisectrion thed me X siAx+CusX= fors] Xost

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Q: let f:(a,b)→R be de fined by X€QN(a,b) x€Q' n(a,b) -2 f(x)=' 3

A: This is a problem of Differential Calculus.

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Q: What equation does the extremal y of the isoperimetric problem J(y) = S (2y² + y)dæ subject to the c...

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Q: dy dx take 2. Solve xy +1 with yco) = 1 for finding y(o.075) %3D h=o-025

A: Questions from numerical analysis.

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A: We are given a non-linear optimization problem. min x12+x22subject to,x12+x22≤5x1+2x2=4x1,x2≥0.........

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Q: 3 By UBing the two iterative methods Solve the following System of equation and compare the speed of...

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Q: sold obtained by rotating the region bounded by the given curves about the specified line. x = 25y. ...

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Q: 1. Use the Euler, improved Euler and Runge-kutta methords to solve the following ODES: d. ý =(1+)y, ...

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Q: /2, log (a cos 0+b° sin 8) do= log 'a+b 2 a>0, b>0.

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Q: 3.) Let set S = {x, e*,sin x , cos x} be a solution to a 4th-order homogeneous differential equation...

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Q: 2 3 Find CD C = 4 5 6 Find DC -| D = ニ

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Q: dx 6. dt 2 -2

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Q: (a) For each of the cost coefficients c;, 1 < j < 4, find the range of values for Ac, for which the ...

A: According to guidelines I can solve only 1 questions 

Q: 1. Use the Euler, improved Euler and Runge-kutta methords to solve the fellowing ODES: d. ý =(1+ )y,...

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Q: How much will $100 grow to if invested at a continuously compound interest rate of 8.5% for 9 years?

A: The compound interest formula for an amount P compounded annually at an interest rate of r% for a pe...

Q: Submit test d's = 60 yt - 27 , subject to the conditions that Vi A particle moves on a coordinate li...

A: Solution:-

Q: Suppose f(x, y, z) = x² + y² + z? and W is the solid cylinder with height 9 and base radius 5 that i...

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Q: Consider the initial value problem y = sin(xt), y(4) = 1 Use Euler's Method with five steps to appro...

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Q: Q2.) for the function shown in fig 1) At what value of t, the function is continuous. 2) Is the func...

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Q: dy of the following and simplify if possible: dx Determine 3.1 y= Jlnx -8x 3.2 y = 32x + tan x 3.3 y...

A: We have to find dy/dx.

Q: Use the direct methods to Solve the fellowny systems of algeboriac equations Xi + X2+ X3 + X4 = 3 2X...

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Q: Solve the following system of equations using matrices (row operations). If the system has no soluti...

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Q: dy dx take 2. Solve xy +1 with ycu) = 1 for finding yo.075) %3D h=0-025

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Q: a b c a b c If def=2, find the determinant of g hi g hi de f The determinant is

A: The solution is given as  

Q: A hole in the side of a large metal tank needs to be repaired. A piece of rectangular sheet metal or...

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A: Given question related to the surface area of cylinder . Solution is given below

Q: If u(x, t) is a solution of u, = uxx * u(x, 0) = 1 + x+ sin (ax) cos (Tx) u(0, t) = 1, u(1, t) = 2. ...

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Q: Prove that the locus of the point of intersection of two tangents to the parabola y? = 4ax, which ma...

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Q: Give the Taylor series about x = 0 representing the function. Find series of this function. f(x)= e ...

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Q: 1.) Represent each compound statements below in logical notations. 2.) Determine the truth value of ...

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Q: A[x] → (Vx)A[x] is NOT a theorem if x indeed occurs free in A. Yet, I think I got a proof: First, le...

A: Given:   A[x] → (Vx)A[x] is NOT a theorem if x indeed occurs free in A

Q: Determine discrete time Fourier transform for the given signals. x(n) = 3(2") и(-п) —

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Q: Find SL (xy) dl Lis Jquare 1x|+ lyl= 1 where.

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Q: Find the radius and interval of convergence of the given power series. +o0 Σ (x + 3)" n5 +1 1. n=0

A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy problems....

Q: i) Obtain the complete and singular integrals of = px +qy + p°q. -31 ii) Find the Laplace transform ...

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Q: 2. a. Prove using the formal definition of a limit that the following sequence converges: -n3 + 2n –...

A: This is a problem of sequence.

Q: (a) The quadratic equation produced to model the trajectory of a test missile is y = -0.0822 + 2.15r...

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