(4x3 – 3y²)dx + 6xydy = 0 Ans: 2x3 + 3y² = 2x %3D

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Q: Use Laplace Transform to solve the initial-value problem, y" – y = 8(t – 5), y(0) = 1, y'(0) = 1

A: We solve the given initial value problem by using Laplace transform method.

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A: Instead of d^2 x/dy^2 it should be d^2 y/dx^2 for ODE with coefficent.

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Q: 2 2 , find the closest point to v in the subspace W spanned by 6 and 3 Given i = 6. 1 12

A: To find  The closest point to V in the subspace spaneed by the given vectors. 

Q: Factor out the negative sign with the GCF. - 2x + 6x2 - 16x 3 - 2x + 6x2 - 16x = (Write your answer ...

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Q: Evaluate the integral               0∫3 (−0.5x5+3.9x4−8.1x3+2.7x2+5.9x+1.5)dx using  four-point Ga...

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Q: A. Graph the function f(x) = /6 + 2a using a graphing calculator like desmos.com . find x when f(x) ...

A: Given: f(x)=4 and f(x)=6+2x. To find: Point of intersections of given functions.

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Q: Find the matrix of the quadratic form. Assume x is in R. 8x, + 2x - 6x3 - 14x,x2 + 6x, x3 = 8x2×3 b....

A: Quadratic form:-Let A  be n×n real symmetric matrix, A function q:R^n to R defined by q(x)=X^tAX is ...

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Q: Use the Runge-Kutta method to approximate x(0.2) and y(0.2). First use  h = 0.2  and then use  h =...

A: We first write the system of differential equation into two linear first order differential equation...

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Q: S. Which of the tolowing ia NOT a linear ineguality in two variatie 7x + 8y 22 O optena Optiona

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Q: Linear transformation 5.) Prove that F+O=F for every Feg (V,W)

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Q: If f is analytic in a neighborhood of xo and f(xo) = 0, show that f(x)/(x – xo) is analytic in the s...

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Q: d?y dy 3- 4y = 0 dx? dx

A: Solution of a differential equation

Q: dx dt ræ(1 – Kı+ay * = ry(1 – K) dt K2+bx

A: As per the question we have to find the equilibrium points of the given nonlinear system pf dynamic ...

Q: The Laplace transform of sin(2t) is sın 1S Select the corect answer Оа 2 s?+4 Ob. g?+4 Oc. Od 2 33 –...

A: Use the standard formula of Laplace transform to solve this problem as in next step.

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. 12 3 3 4...

A: Given matrix is A=12334. We have to find the matrices P and D. First find the eigenvalues of A. The ...

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Q: Find the GCF of the monomials 14p, 35pq, and 21q. The GCF of 14p², 35pq, and 21q is

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Q: 1+ -3 -2-1 -1+ 2 -2- f(x)--3(x+2) What is the equation of this function after it is reflected over t...

A: Use the definition of reflection about axis in graph theory.

Q: P(x) = 8x3 − 12x2 + 3x − 22;  [−4, 6] by [−30, 30]

A: Given,        P(x)=8x3−12x2 + 3x−22;    [−4, 6] by [−30, 30]

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Q: Solve the ff. areas of the shaded regions. Show COMPLETE SOLUTION and box the final answers

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Q: [5 4 Suppose T: R' → R' such that T(x) = Ax and A = 3 6 13 4 -41 Answer the following questions rega...

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Q: 1. Find the dy of the followings: dx (iii) y = (4x² – 20)(6x + 5) (iv) y = (4x² – 20x + 50)6

A: For given (3) and (4) , we have to differentiate it with respect to x

Q: 22. Prove that a square matrix A is not invertible if and only if zero is an eigenvalue of A.

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Q: Consider the function f(x) = cos¯'. a State the domain of f(x). (Hint: Think about it rather than re...

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Q: Let (Jn)neN be a sequence of functions f: R → R satisfying |fn+1(c) – fn(c)| 2 and neN , and ae(0, 1...

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Q: The solid bounded by the surfaces S1,S2,S3,S4 and S5 corresponds to  image 1  If V is the volume o...

A: We will use basic knowledge of triple integral and integral calculus to answer this question.

Q: Question 6 3x-(k +1)y = 3 Given the system of linear equations, where k is a constant. 2kx-4y -6 (a)...

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Q: (b) In this part, instead of using f and g to find W, we use f and W to find g. Suppose that f is a ...

A: We have to prove that g is also a solution to the given differential equation, given that : f is a ...

Q: 15. eshows a eetions elation beweenand Whchof these -3 -5 n = -2m + 3 n = 2m + 3 Option O otona n = ...

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Q: Determine a valid conclusion for the argument: All acrobats are joggers. No joggers are gamblers. ...

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Q: Given the values of the surfaces; 3<rs 5,100°< ¢< 130°, 3 SzS 4.5, calculate: i) the enclosed volume...

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Q: Prove directly that the union of two disjoint sets, where one is countably infinite and the other is...

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Q: (a) A cake was cut into pieces of equal size. There are 5 pieces of cake left. Ricardo gets of them....

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