Find the Green's function G(t,t') for each of the following problems. A. * + 9x + 20x = k(t), x(0) = x(0) =0 B. x + 4x + 4x = k(t) , x(0) — х(0) — 0

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: If  f(x) = 3x + 1  and g(x)=4/x.find f(g(x)) and g(f(x)).

A: Given f(x)=3x+1 and g(x)=4x we have to find f(g(x)), g(f(x))

Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: (la + 2b] c) Identify and compare the solution sets of x1 + 5x2 – 3x3 = 0 and x, + 5x2 - 3x3 = -2.…

A: According to the given information, it is required to identify and compare the solution sets of the…

Q: 1.8 If f(x) = -7x – 6 and g(x) = -8x² – 4x + 3, find g(f(3)). a. 393 b. -177 С. -1857 d. -279

A: Here I am attaching image so that you understand each and every step. Given answer option "C" match…

Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

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Q: 6.Given f(x)= 3x – 2 and g(x)= x2 – 5x, find f(-1)+g(2)

A: The given functions are: fx=3x-2 and gx=x2-5x To find f-1 replace x with -1 in fx=3x-2 and similarly…

Q: The fixed point of the function f(x) = 9* – (2) 3× + x - 3 is: Select one: а. 1 b. 3 С. 2 d. 4

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Q: If f(x)= 4x – 11, determine а. b. A-3) с. x if f(x) = 53

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Q: Find the indicated outputs for f(x) = 2x² - - 2x.

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Q: Find f(7) if f(x) = 5x – 1.

A:

Q: Find f ′(x) for the function f (x) = 7x −8

A: Differentiation is the process of finding derivative or rate of change of a function. Suppose we…

Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

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Q: ain of f+g, f-g, fg and

A: As per the bartleby guidelines for more than three parts only three has to be solved. Please upload…

Q: The function f(x) =is 1-z2 Is 9+z2

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Q: 3. Let f(x) = x¹/3 and g(x) = 2x² + 5x – 1. A. Write out the equations for all four functions: ƒ(x),…

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Q: If H=fog and H(x) = /25 – 4x? , which of the following cannot be the component functions f and g?…

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Q: If h(x) = 4x - 3, find h(4) and h(–1).

A: Given h(x) = 4x - 3 h(4) and h(-1) = ?

Q: Find f(x+h)-f(x) h 2 f(x) = 5x + 14x-13 OA. B. 10x+14+5h 2 10xh + 14h + 14h² C. 10x+14 OD. 5x+6+ 10h

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Q: Find the indicated outputs for f(x) = 4x² - 5x. f(0) = f(-1)= f(2)= h

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Q: If H(x) = 4x* - 8x + Vx, then find H (x).

A: Find derivative of H(X)

Q: If f = {(0, 1),(1, 2)}, (b) find h(x) = f(5 − 3x) − 2.

A: From the given data f(0)=1 and f(1)=2 That is f(x)=x+1

Q: If f(3) = −12 and f ′(x) = x2f(x) for all x, find f ″(3).

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Q: T. Find f(g(2)) and g(f(2)) for each of the following: 1. f(x) = 2x - 1 g(x) = -3x 2. f(x)=x²-5 g(x)…

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Q: 3. Find and simplify a. f(x)=3x² +5x b. f(x)=2x-x² K f(a+h)-f(a) h for each of the following…

A: (a) f(x)=