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Q: Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic…

A: Introduction: The formula for finding the volume of a solid by triple integral is given by,…

Q: Refer to the following matrices. A =  [ -1 4           3 4           3  0 ]   B =     [ 2  3…

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Q: Find the Laplace transform of the following: 2. f(t) = v1+ sin t + (5t)18 + t² cos 2t

A: Here given function as ft=1+sin t+5t18+t2cos 2torft=sin2t2+cos2t2+2sin t2cost2+5t18+t2cos…

Q: find The aea bounded by the and the line y-3* Eunve X-+4

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Q: It is known that h1(t)=e3t2, h2(t)=30e3t2 are solutions of the differential equation 4h" - 12h' + bh…

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Q: (1) こ Wy2,y2)= 12 enx (2) 9/2 X 9) Y=(x)=e

A: It is given that the differential equation y"+3y'+y=0. Wronskian W(y1,y2)=12enx            ......…

Q: ! Y1 (x) y Y2(x), Let be solutions of the linear differential equation with constant coefficients y"…

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Q: d d. Calculate [r(t) r2(t)] and dt [r(t) x r2(t)] first by differentiating dt the product directly…

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Q: Recall that the radius of convergence R of a power series with coefficients a, is found by first…

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Q: Solve by Hand. Use Euler's method to integrate dy = t – 2y y(0) = 1 dt 0<t<2 Use h = 0.2 %3D

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Q: 27. у" — 2у - 2y' 8xe2x. %3D

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Q: Describe the graph of the equation. r = 8 cos t i – 18 sin t j + k O An ellipse in the planex = 1,…

A: Equation in the vector form

Q: 5. Evaluate determinant D by: c. Chios Method 6 4 12 16 6 8 8 14 14 4 A = 4 6 16 12 2 2 10 18 10 14…

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Q: 2 -1 -1 2 -2 to complete the following tasks. -2 2 1. Use A= Find the eigemvectors of A. a. b.…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: 1. In this question, you will be using the following trigonometric identities: cos? cos(a + B) sin(a…

A: As per our guidelines we are supposed to solve only first three subparts of the problem. For the…

Q: [x 1+t 5. Determine the distance between the point (4, 3, 2) and the plane y 2+s z = 3+5+t a. 3.69…

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Q: A retired couple supplement their income by making fruit pies, which they sell to a local grocery…

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Q: 16.) Susan is making monthly payments of $207.31 to pay off a 3½ year loan for $6400. What is her…

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Q: ctermine whether the tollowing matrias are Yow-echelon forms or not ? plan why? 1 -2 37 150 o 1 -1 1…

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Q: Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the…

A: Given that the region R in the first quadrant bounded by the graphs of y=16-x2, y=0 and x=0 is…

Q: Question 1 (Second Order Linear ODES). /" - 6y' +9y 0 y(0) = 2 / (0) = 3. %3D

A: Given second order differential equation is y''-6y'+9y=0     (1) with condition y(0)=2,y'(0)=3…

Q: + 194y= (1) (7) t. Where U'x) and Vcx) satisfio the ji sten i (3) b) Von= 4x° 4. C) Von. J Vo)= - +C

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Q: 2 6.xy + 2z how that G(r, y, 2) = (3y? + ( 3y2 + 2x , x, y, z > 0 is conservative %3D 22 a) without…

A: Scalar potential function

Q: 24. Find the general solution of (2x + 1)(x + 1)y" + 2xy' – 2y = (2x + 1)2, 1)-1 1:

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Q: -2t y= c1e -1 1

A: For the solution of the problem follow the next step.

Q: y" – 10y + 25y Consider the differential equation It is proposed as a particular solution Yp =…

A: We will find out V'(x) and U'(x) from given system and then we will integrate the get V(x).

Q: 25. Find the general solution of (sin? x)y" – (2 sin x cos x)y' + (cos? x + 1)y = sin' x,

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Q: (1) (2)

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Q: 1. Use the Washer Method to find the volume obtained by rotating the region in the below figure…

A: To use washer method to find the volume of the solid obtained by rotating the given region.

Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y= { a, b, c }, and Z = {b, c , d, e, f} a1.…

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Q: Find Fourier series [o, 2] an O f cx) %3D SinX

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Q: One-way or two-way refers to the numbe of independent variables (IV's) in your Analysis c Variance…

A: In one way  , we have one independent variable.  While in two way we have two independent variables…

Q: TT tan x sec?x dx 2 O none of them is an impróper integral of type I that diverges is an improper…

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Q: Do not use a calculator for this problem. Find the x-value where the relative maximum of y = e6 -x 0…

A: Given: the relative maximum of y = ex/6-x2 closest to x = 0 occurs. When you need to solve for an…

Q: Consider this Preference Voting Table from 50 voters and 4 candidates Rank/ Number of 19 14 10 7.…

A: Given: Voting preference table Rank 19 14 10 7 1st A B C D 2nd B D D B 3rd C C A C 4th D…

Q: Consider the following system of equations. 2x  +  3y  =  25 3x  +  5y  =  40 (a) Write a matrix…

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Q: Evaluate using Laplace Transform: tsin3 3t dt e-3t 00 f(t) ||

A: We have to apply the Laplace transform method.

Q: If the rate of inflation is 3.4% per year, the future price p () (in dollars) of a certain item can…

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Q: Find the formula for the Riemann sum obtained by dividing the interval [ - 1, 0] into n equal…

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Q: Let w - (a+ ba + e| 2a +e>3) wita the standand sperations in P, Which of the following staternes is…

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Q: 18. Set up an integral to compute the volume under the hyperbolic paraboloid z = over the disk D =…

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Q: 22. Show with one picture that 2/3 is equivalent to 10/15 in a continuous case. Explain how your…

A: Note: To find the equivalent fractions for any given fraction, multiply the numerator and the…

Q: A spring with constant k = 5 N/m hanging from the ceiling is placed at its lower end with an object…

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Q: Evaluate the double integral. 8x?sin y dA; Risthe region that is bounded by y = x, y = -x', and y =…

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Q: By applying the Cauchy-Riemann relations, determine if f(2) cos(2") is analytic or not.

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Q: Сompute L f dx, where f(x)=|x|.

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Q: Find the line of intersection of the planes x- y- 2z 1 and a +y+z=-1. Lütfen birini seçin: a.L : x =…

A: Given equation of plane is x−y−2z=1 and x+y+z=−1. We have to find the line of intersection of the…

Q: For each of the following series determine if the series converges or diverges. In(n) n n=2 n3 n=0…

A: Series and sequences, integral test

Q: 4. Solve eu, - uu, = 0, u(0, y) = -y %3D for small |r.

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