Find the general solution of the system x' (t) = Ax(t) for the given matrix A. A = x(t) = 3 7 - 1 7

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Q: ) Consider a horizontal parabola of the form ay² + by + c = x where a ‡ 0, and whose graph contains…

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Q: Part II. Direction: Solve for the root and the iteration function g(x) of the following functions…

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Q: 13. Evaluate 10 r(7) 3Г(4)

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Q: Q.5) Determine Ixx, lyy and Ixy for the section shown below. y²= 3x y = x²/3 X

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Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

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Q: 17. The inverse of matrix a. Matrix 11 Matrix 1 1/2 | =11 b. 0 c. Matrix ₁ d. Matrix ¹

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Q: (b) Show that U (x, y) = eu cos v, V(x, y) = eusin v are conjugate harmonic of each other if f = u +…

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Q: (b) Show that M is diagonalisable over R and write down its three eigenvalues, ordered in such a way…

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Q: Find a continuous particular solution to the initial value problem (1+x²). + 2xy = f(x), y(0) = 2,…

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Q: Solve the initial value problem y" - 3y' - 54y = 0, y(0) = a, y'(0) = 60. Find a so that the…

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Q: Find the flow of the velocity field F = b. a. Na g (2,8) : 4x (0,0) X (5y² + 1)i + (10xy)j along…

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Q: 13. x = 1 + (y - 2)², x = 2

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Q: A={x=R:0<x<1} Given Answer Choices: a) =c b) ≤ < c) d) None of the above Answer * A B C D and…

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Q: Determine the solution x(t) of the ordinary differential equations with initial values a. x"(t) -…

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Q: 1. (A population model) Consider the differential equation dP dt -P(2P-1)(P-3) where P(t) is the…

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Q: Determine the feasible region of this system. -5x + y ≤ 5 2x + y ≤ 2 -x + y 2 -5 x + y ² -2

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Q: If a projectile is fired straight upward from the ground with an initial speed of 32 feet per…

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Q: Given Argument Q=B N. (O v P) (N•P) > ~(Q v B) Conclusion: (~Qv~B) • ~(NO) Premise 1: Premise 2:…

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Q: Consider the following LP problem: minimize z= -x₁ + subject to x2-2x3, X₁ + X₂ + X3 ≤6, -X1 + 2x2 +…

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Q: Consider the function ?(?) =1/x and the data points ( 0.1, 10), (0.2, 5), (0.3,3.33) Find Lagrange…

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Q: A motion has a equation Z R(+) = (+ cos (5+)) ²² + (4+)² + (+6in (5+)) K Find the acceleration vetor…

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Q: Exercise 5 Let X = (a, b, c, d, e) and let T = {X, 0, (a), (c,d), {a,c,d), (b, c, d, e]) is a…

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Q: Let X and Y be continuous random variables having a joint probability density function (pdf) given…

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Q: h) Find a parametric representation of the Parabolic equation z = 9(x² + y²)

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Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = n²x^ 3 6 9 (3n) Find the…

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Q: Find a polar equation for the conic that has its focus at the pole and satisfies the…

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Q: Prove that for all natural number n, 52n-1 is divisible by 8.

A: Will prove the result by mathematical induction

Q: (ey + 1) cosx dx + esinx dy = 0 [Answer: (e + 1) sinx = = c] X (1 + e) dx + ež (1) dy = 0 [Answer :…

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Q: Let p: A is a proper subset of B. q: A and B are equal. Write: "A is a proper subset of B if and…

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Q: ik 4. Express b¹¹y¡y¡ in the terms of x variables where y¡ = C¡¡x; and bªc¡k = 8½k.

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Q: 2) Consider a horizontal parabola of the form ay² + by + c = x where a 0, and whose graph contains…

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Q: Roboto : Prove: 6. Alternate Exterior Angles Theorem Given: pllq 21 22 14px Two-Column Proof n H lo…

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Q: Q7 Define f(x)=³-3x+1, and o(a)=x²-2. The following information will be useful: f is irreducible…

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Q: Consider a function f(x)and its second Taylor polynomial P2 (x) centered at a .if p2x is not…

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