f (t) = t² sin 2t ; L{f(t)} =? Select the correct response: NONE OF THESE 12s2+16 - O F(s) = (s² +4)3 12s2-16 F(s) = (s² +4)3 12s2-16 F(s) = = (s² –4)3

Q: Given f (x) = 3x² + x- 5 and g (x) = - - 3, find (f- g) (x). 3z2-8 3x + 2x 2 O 3r? + 2x 8 O 3z? - 2

A:

Q: Evaluate (f o g)(x) or f[g(x)] f(x) = - 5x? – 7x – 4 g(x) = 3x – 2 (f o g)(x) = f[g(x)] =

A:

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: Let f(x) = x² + 5.5x + 722 . Which of the following is equal to f(x + h) – f(x)? %3D O x² + h? + 2xh…

A: Given that f(x) = x2 + 5.5x + 722. We have to find the value of f(x + h) - f(x).

Q: When f(x) = 8a? – x – 3, evaluate f( – 4) f( – 4) =

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Q: . Determine a such that (x – i) is a factor of f(x)= x² + ax – 6.

A:

Q: If f(x) = 6x – 4, what is f(x) when x = 8? O 2 O 16 O 44 O 52

A:

Q: 1. The function f(z) factors to f() = (* + 2)(ar + bz + c). Find (a + 6+ c). S(z) = 3+3r-5x+2 (a) 5…

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Q: t - 1 (a) f(t) = 1 + logs %3D V8 /8-t

A:

Q: Find f1(2) where O f(x) = 2 4 3 17 9 1 9 1 9 19 9 X x³ +1

A:

Q: 8. Find the domain of f(r):

A: Given fx=x+3x−1

Q: Find x(t) for the following: X(s) = (a+1)(2+2) (-1)(s-2) Select one: O a. ¤(t) = (-6e t + 12e-2#…

A: Given:   X(s)=s+1s+2s-1s-2    Take partial fraction of s+1s+2(s-1)(s-2)…

Q: 15s + 5 Let F (s) Find C'{F(s)} (8s + 8) (s² + 1)

A: Laplace transform converts the real variable into a complex variable. Consider a function f(t). The…

Q: Calculate, f(t) from 5s² + 30 F(s) (s – 2)²(s² – 6s + 13) - |

A:

Q: 4. f(x) — бх — 4 X бх — 4 f(x)

A:

Q: In(2) ith(7-32) + vr² + 1. Answer using interval 3. Find the domain of the function f(x) = + In…

A: In our function three expression added together. Hence we going to see each expression separately…

Q: If x- /10 =11, find x-V10x. (a) 1 (b) 10 (c) V10 (d) 3

A:

Q: Find (f – 9)(x) if f(x) = -3a? + 2x – 3 and g(æ) = 2x2 – 3x + 4. O (f - 9)(x) = 5x² – 5x + 7 • (f –…

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Q: What does is mean for two functions f(x) and g(x) to be orthogonal

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Q: Find f'(1) if Ax) = (4x- 3) %3D 2.

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Q: 1/2 S x²√1-x²dx. 0

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Q: The domain of f(r) = /3 – ± In(x) is Select one: O a. (0,3] O b. (0, 00) О с. (0, 3] O d. (-00, 3)

A:

Q: Suppose f(x) = - 3x+5x + 6. Compute the following: %3D a) f( – 4) + f(2) = b) f( – 4) – f(2) =

A:

Q: Suppose we have f(x) = 2x² + 2 and 9(x) = 2 – 3a", is (f – 9)(0) the same as (g – f)(0) ? Explain.…

A:

Q: 16) f(n) = n² – 2n; Find f(n²)

A: Solution:

Q: If f(x) = (x – 3)² +1, what is f(6) ? O -2 О 10 О 16

A:

Q: Evaluate the difference quotient for 7x+1. Az) - f(x) = 2 7/2 7 O 1/2 O O

A: Here we have to find the quotient difference of a function.