Let F(t) = (4 – t2,4, t² – 4) and g(t) = 2 – t. Find (F • g)(1). %3D -

Q: (c) y = 2

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Q: Let f(x) = V9x – 10 . Determine f-(x). f-(x)%3D

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Q: Let f(x) = cx3.8 and suppose that f(2) = 16. Find the value of c.

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Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

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Q: Find the domain for the functions 1. f(x) = 8– V3x - 7

A: Given,          The function is fx=8-3x-7 .

Q: Find the inflection point(s) (x,y) to the function f (x) = x²+x+1 %3D x2

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Q: Let g(t) -t+ Vt and h(t) = 9t + 4. Find the following. %3D g(h(5)) = h(g(4)) - eSC 14

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Q: Evaluate L{f(t)} for t+1, t20, t1, t#2 t=1 t=2 (a) f(t)=3, -3,

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Q: Find the domain of each function

A: Given: h(t) = 4-3t To find: The domain of the given function.

Q: f(x)=√√√9-x

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Q: Find f′(x) and f′(c).

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: x(t) = ?

A: Given: x'=3-22-2x+12e-t comparing this by  x'=Ax+b The homogeneous solution:…

Q: If f(x) = Vx+1 %3D 1 g(x) =- X+4 1 h(x) = - X Then find (fogoh)(x)

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Q: Suppose f(x) = v9 + x – Vx – 6. Find all x-values satisfying the equation f (x) = 3. %3D

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Q: 2.r +10 1. Let g(x) = 36 (x) = 5x+4, and r(x) = /6x + 13. %3D %3D (a) Find g(-4). (b) Find (f –…

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Q: Find f′(x) and f′(c).

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Q: (b) Consider the non-stationary series {Xt}, Xt=t+St+ €t where St has period 2 and ~ iid(0, ²) and…

A: A non-stationary series Xt is given such that: Xt=t+St+εt where St has a period 2 and εt~iid0,σ2.

Q: Let f(x) = x² 4. Find f(3 - V13) – 6x – . %3D

A: Given:            fx=x2-6x-4 Find; f3-13 f3-13 =3-13 2-63-13-4 Simplify using : a-b2=a2-2ab+b2 3-13…

Q: Let h(x) = f(x)g(x). If f(x) = -5a2 +5x- 4, g(2) = 3, and g'(2) = -4, what is h'(2)? %3D %3D Provide…

A: Find the derivative of h at x=2

Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

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Q: Find an antiderivative of the given function. f(x) = 5(7x + 1)(7) Select one: A. (7x + 1)4 7 O B.…

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Q: Find f(0), if f(x)=3 – 5x + x2.

A: Given function is, fx=3-5x+x2. The objective is to find the f0. Function is described as the special…

Q: Find g(t)=abt if g(10)=50 and g(30)=25

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Q: 1. Let f(x) = 3x2 and g(x) = x – 2. a) Find (fo g)(x). b) Find (f o g)(1). c) Find (g of)(x). d)…

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Q: 1. Let f(x) = 3x2 and g(x) = x - 2. a) Find (f o g)(x). %3D %3D

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Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: A stone is shot vertically upward. The position function is s(t) = 10 + 50t – 4.9t?

A: The position function is given by st = 10+50t-4.9t2 To evaluate: The time when the stone reaches its…

Q: Consider f(t) = (6t², 10t3, 3t4). Find ||f"(1)||. Type your answer.

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Q: x(t) = ?

A: Taking Laplace transform:…