2. Consider the following functions: • f1(x) = sin(7₁) cos(12); • f2(xy) = x¹y; • fs(x)=xx¹; • f4(x) = Ax. (a) What are the dimensions of ? (b) Compute the Jacobian Gradient of each function.

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A: f(x)=6x2+4x+2To find: F(x) such that F'(x)=f(x)

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Q: Find f(x).

A: Given,

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A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

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A: We have to find the differentiations of the give function and find y101.

Q: *(x) = x² +x – 7 , find f'(a) at a = -2 by using the definition of derivative.

A: To find the f'(a) using definition of derivative

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Q: (a) Use f(t) = a cos (b(t- c)) + d to model these conditions. (b) Evaluate f(1) and f(7). (a)…

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A: The solution of above question is written in below steps.

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

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Q: A) Find the first and second derivatives of the function g(x) = Vx² + 2x .

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

Q: 2. If g(x) = (ƒ 03ƒ •4f)(x) = ƒ (3ƒ (4ƒ(x)). Determine gʻ(3), given f(3) = 1, ƒ(4)=1, ƒ'(3) = 2 and…

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Q: a fif f" (t) = 2e* +3 sin(t), f(0) =-8, ) =

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A: Definition: A set of vectors are said to be linearly independent, if no vector can be represented as…

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Q: Use the values in the table below to answer each of the following: x f(x) g(x) f'(x) g'(x) f"(x) 0…

A: The table is given