1. If f(x) = x + 1 and g(x) = 3x, find the following. a. f(4) d. g(2) %3D b. (g o f)(4) e. (f° g)(2) c. (g • )(x) f. (f• g)(x)

Q: cos4t-cos2t 12. F(t) = %3D t

A: Given that F(t)=cos 4t-cos 2tt The formula for cos 2t is cos 2t=2cos2t-1 Now, cos 4t=cos 22t…

Q: By definition, (f ° g)(x) = f(5) = 12, then (f°g)(2) * So if g(2) = 5 and %3D %3D %3D

A: By definition, f∘gx=fgx

Q: For the given functions f and g, find the indicated composition f(x) = 14x2 - 10x, (f°g) (9) g(x) =…

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Q: b. The graph of f(x) is shown below. Find: f(x) dx -1. to 33 177

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Q: Suppose that f(t) = sin(3t). Part A. The function g(t) is f(t) shifted to the right 3 units. What is…

A: NOTE: Refresh your page if you can't see any equations. . the base function is  now the function…

Q: X 3 x² e-x³ dx I

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Q: 7. Let g(x) = (x² + 4)°. Find g"(x).

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Q: g(x)dx = (5x? +2)° +C

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Q: If f(x) = x – Vx – 2, find all values of x for which f(x) = 4. %3D

A: fx=x-x-2

Q: Evaluate (a) r(-7/2). (b) r(-1/3). Ans. (a) (16 J)/ 105. (b) - 3r(2/3)

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Q: Suppose that f(x) = x sin (x2). Find f(17) (0).

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Q: 6. If f(x) = x2 + 2x - 1 and g(x) = 2x-3, find each of the following functions. (a) f°g (b) g°f (c)…

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Q: d Given  = and B = x², and for dx arbitrary f(x) II. Calculate for the following: (1) ÂBƒ(x) (ii)…

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Q: =. Evaluate the following. C. Consider f(x) = 4 – x² , g(x) = Vx +3, h(x) 1. (f° g)(1) 2. (g• h)(1)…

A: Just I have used the definition of composition of two functions, and using given functions calculate…

Q: Assuming 0 < c < d, find the value of b (in terms of c and d ) for the function given

A: given: 0<c<d. the given integral is∫cdx+bdx=0 ∫cdx+bdx=0x22+bxcd=0d22+bd-c22+bc=0

Q: TT f(c)dc)+ =xtan"(x) 4

A:

Q: E (x+1) xp:

A: Given integral is, ∫x+112x52dx.   It is integrated as follows:   Apply u-substitution: u=x+112…

Q: . A function f(x) has the following properties: (=) de = 4, f(2)dz = 6, f(2)dz S r(2) dz = -2, […

A: a) We divide the integral into three subintegrals

Q: Given the following function: f(x) = 2x For g(x) f(x) dx, determine g(x).

A: Given,       fx=2x       gx=∫fxdx

Q: Find the domain of f(g(x))

A: Given that two functions: Find the domain of (fog)(x)

Q: If f(x) = 7x° - 7x + 2x -3 and g(x) = 0, find (f o g)(x) and (g o f)(x). What is (fo g)(x)? (fo…

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Q: =sec? Ge) 2. cos'(x) tan(x) df da (3) If f(x) = In find You do not need to simplify. 4x-7

A: we know that  d/dx(In(x))=1/x d/dx(u/v)=(v du/dx-u dv/dx)/v^2 d/dx(tanx)=sec^2(x) d/dx(xn)=nxn-1

Q: If f is an odd function, why is S, f(x) dx = 0?

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Q: If f (x) = 2x VxE [a, b]. Show that; b. S [(x)dx = b² – a²

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Q: Given that f(x) = 2x+2 and h(x) = x°, find (h o f)(2). (h o f)(2) = (Simplify your answer.)

A: Solution: f(x)= 2x+2 h(x)= x3

Q: If f(x) dx = 4x° – 7x° + C, find f(x). %3D f(x) = %3D

A: We are going  to find f(x)

Q: Use the given information to find the value of the func 4. f'(x) = 3x2 - 1 and f(2) = -5. What is…

A: If you like the solution then please give it a thumbs up... The Answer is:        f(3) = 13

Q: If f(x)dz = -5. then the value of f f(z)dr = ... -5, then the value of f(x)dx O 5 3

A: We have to find the value

Q: Find the domain and range of the functions: 2) f(x) = /4 – Vx

A: f(x)=4-x

Q: 3.ƒ _(x−1)² dx √x

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Q: ind the two half-range expansions of the function y e (0,) yE (1) 2a K f) = { 2a

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Q: Suppose that so h(x) dx = Answer the following: A. Suppose that h is an even function. Evaluate…

A: Since you have asked multiple parts in a single request so we will be answering only first three…

Q: 2. Given f(x) = 3x2 +4x and g(x) = 2x - 1, find (& simplify) the following: %3D (f-g)(x) = b.…

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