E[x(t)]=2 and Ryr (7) = 4 + exp (-2 It). Let Y(t) be the voltage across capacitor. Find E[Y(t) and G. ().

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Q: Find F′(x).

A: Given Data The integral function is F(x)=ꭍxx+2(4t+1)dt.   Solve the given integral function,

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Q: Given h(x) = (-x² – 2x – 2), find h' (0)-

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Q: d da -f(x) = cos x, f(0) = 9.

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Q: Let f(6) = 54 and f'(6) = 19. Let g(x) = (13+x²)f(x). Calculate the value of g' (6). %3D

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Q: Determine when the following pairs of functions are linearly independent. (a) y1(t) = e"it; Y2(t) =…

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Q: (c) y = = b √ax² + 1 = e tan(bw) -αω (d) H (w):

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Q: Let f(1) = 2 and f (1) = 3. Suppose g(x) = [f(x)²=]. Calculate g' (1). %3D %3D

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Q: Show that if ƒ (z) = C where C is a constant, then f (s) = C/s for 8 > 0.

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Q: Differentiate g(t) = -8/t .

A: Known fact: ddxx=12xddxkfx=kddxfx

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Q: Determine which of the following pairs of functions are linearly independent. NO ANSWER + 1. f(x) =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find f′(x) and f′(c). Function f(x) = x cos x Value of c = /4

A: The given function f(x) - f(x) = x cosxDifferentiation on both sides with respect to 'x' to get the…

Q: g(x) g'(5) = 2 X 13 1+t2 dt

A: Given query is to find indicated derivative.

Q: Find the function f(x) such that  f ′(x) = f(x)(1 − f(x)) and f(0) = 1/5.

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Q: 2ae2x 2ae2x. Let a be a real valued constant. Find the derivative with respect to x: y = -1 4xe2x O…

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Q: Find y as a function of t if y(0) = 5, y(0) = 3. y(t) = 36y" - 84y +58y = 0₂

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Q: If h(x)=6ex−5, find h′(x).

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Q: Calculate the linearization L of f(x) = at x=1. Express your answer in terms of e and x. L(x)=

A: To calculate the linearization of .

Q: Find the z value that corresponds to the glven area In the figure below. L

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Q: Find an equation of the line tangent to the curve f(x) = e4x at the point (0, f(0)). x + 1 4x + 1 4e…

A: Put x=0

Q: Determine r (x) if r(x) = (arccot(x))".

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Q: Find f such that f′(x)=4x−9​, f(9)=0.

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Q: Let h(x)=f(g(x)). If f(−4)=−3, f′(−4)=−1, g(1)=−4, and g′(1)=3, find h′(1).

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