Find the derivative a. f(x)= (e2x+e)1/2 b. f(x)= ex(x2+3)(x3+4)

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Q: ROBLEM No. 1. Solve the IVP: y"+6y-7y=0, subject to the initial conditions: y(0)=5; y '(0)= -3.

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Q: If y = cos² 3x, then =? dy dx dy dx O dy dx dy dx = 6 cos 3x = = -2 cos 3x -6 sin(3x) cos(3x)

A: Given,

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Q: Suppose that f(2)= -5, g(2) = 2, f '(2) = -4, and g'(2) = 1. Find h'(2). (a) h(x) = 5f(x) 3g(x)…

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Q: Find the derivative of the trigonometric function. y = sin((πx)8)

A: y=sin⁡((πx)8)

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Q: Homework Question 3.41) A) Consider the differential equation y*+4²y=0. Verify by direct…

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