Suppose that y and z are twice-differentiable functions of x. Show that d y dx y' 2 y"

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A: Please post the multiple question separately. Here I answered 1st question as per out policy.

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A: Given below clear explanation

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Q: dz 2 (a) of the following functions: dx Find zxa+1cos y? = sin(yº + 22z) where A=2 C=6

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A: Given:   sin(2θ) = 6cos(2θ)Part (a)sin(2θ) = 6cos(2θ)⇒ sin(2θ)cos(2θ) = 6⇒ tan(2θ) = 6So,…

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A: According to guidelines we solve one question.thanku

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Q: Find the values of x1, x2, x3 in the system of Linear Equations 2x, – 6x, – x3 = -38 —3x, — х, + 7х,…

A: For easy understanding let x1 = ax2 = bx3 = c So the given equations are 2a-6b-c=-38  -3a-b+7c=-34…

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Q: -3 -2 -1 1. -8642 -2 3 * 6 4 2 0 2 46 8 10 2 2- -8-6 -4 -2 8 4 2 -2 4 -6 5 Determine whether these…

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Q: IV. Let M(r, y) =r+y-3 and N(r, y) = 1+3y-7. 1. Find a, 8 € R such that if u =1- a and v = y - 3,…

A: Homogeneous differential equation

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

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