x"(t) + 9x(t) 5sin (2t) when t = 0,x = 3,x' = 1

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Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

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Q: 3) Let f:R - R be defined as: Vx = (x, X2, X) € R f(xi,X2, x3) = 7(x- x) + 3(1- x2) + 6x . a. Is f c...

A:  Given:Let f:R3→R be defined as: ∀x = (x1, x2, x3)  ∈ R3  f(x1, x2, x3) = 7(x1- x2)2 + 3(1 –x2 )2 +6...

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Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = A – int A (ii...

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Q: 5. Divisibility Prove that if alb and bla, then a = b or a = -b.

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Q: 5. Consider the function g(x)--5r (a) Using seed na =-0.1, write the first iterations of Pai =P P. (...

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Q: 1. Let f(x, y) = x³ – 3.xy + y3. Find all critical points of f and at each critical point, use the S...

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Q: 6. Find F' and dF[a; h] where: In ¤1 (a) F(x1,x2) and hence show that if v is tangent to the curve p...

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Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are ce...

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