(a) if f (t) = tet cos 5t then L{f(t)} =?. 4s2 + 19s + 52 (b) if F (s) then L-1{F (s)} =? s (s2 + 4s + 13)

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: 7) f(x) = x² – 3.x; Find f(-8) |

A:

Q: Determine L-1{F} if -3s2 + 20s – 25 F(s) (8 – 3)(s² – 2s + 5)'

A:

Q: a. Let f(x) = (-4x² + 3) (-4x² − 3). - Then f'(x) = b. Let g(x) = 2√√x + 3 x4 +2x² Then g'(x) Hint:…

A:

Q: S Sifoo-gool dx O d2 (f.g) = Sup {/fox) - gox|} V£₁9 € [0₂4] if d, (fig) = Find Ⓒd₁ (√x,x) @d₂…

A:

Q: 6. f (x) = 7x − 4 (c) f (b)

A: Here function as fx=7x-4

Q: Find F(s). F(s) = £{t(et + e5t)2}

A:

Q: Find f(t) if 40 F(s) = (s2 + 4s + 5)

A: Inverse Laplace transform

Q: (P) xp- (e) fx dx (1) √(2x² - 6² xp(x9

A:

Q: [f(a)]² =

A:

Q: f(x)= 3x2 -2, find f '(-2) O -12 none of these answers O 12 6x

A: Consider the function  f(x)=3x2−2

Q: f (x) = x2 - 1 / x + 4  Find the following:   5) f (2x)  6) f ( a + k)

A: Given:-   fx =x2-1x+4   now, a. f(2x) f2x=2x2-12x+4 = 4x2-12x+4 = 4x2-12x+2 = 4x22x+2-12x+2 =…

Q: f f(x) = 4x + 5, what is the value of fl-3)? 1) -2 (3) 17 2) –7 (4) 4

A:

Q: { 3s-6 F (t) = L-1 fınd F (- s2 –4s+20 3e3m -3e?m -3e3n

A:

Q: r(x)= 9/x-3 r(8)

A: Given:

Q: f(x)=2-x/3x+4          1. f(2)  2. f(0)

A: 1) Plug x=2 to find f(2) and simplifyAnswer(1): 0

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

A:

Q: If L{f(t)} = F(s), then L {test f(t)} (A) F(8-3) (8-3)²¹ (B) F(s) (8-3)²¹ (C) - F(8-3); d ds (D)…

A: Given the Laplace transform of ft is Fs, i.e. ℒft=Fs   If the Laplace transform of ft is Fs, then…

Q: f (1), where f (x) = 21 + x2

A: Given function - f(x) = x2+21         ...........(1)f-11 = ?First we need to find the inverse…

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

A:

Q: Sx² – 4 if x # -3 -2 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: fx=x2-4if x≠-3-2if x=-3 We have to evaluate f4 , f0 , f-3 and f-23

Q: Determine the formula for the the function f below. p(x) 1 1 - 1 12 1 3 72 1 4 432 2.

A: when x=1 p(x)=12=3·16 when x=2 p(x)=112=3136=3162 when x=3 p(x)=172=31216=3163 when x=4…

Q: CLX 5) Let f(x)=√√x³- 4x + 1, f(3) = 4, find (f¹)'(4).

A:

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 =…

A:

Q: 4 If f(x) = ln(2x² – 3) then f'(x) =? - 2x a) 2x2 – 3 - 4x b) 2x2 – 3 2x c) 2x2 + 3 -4x 2x2 – 3 -…

A: f(x) = ln(2x² - 3) So, f'(x) = 1/(2x²-3) × (2x²-3)' So, f'(x) = 4x/(2x² - 3) .... Option (b)

Q: The function f(n) = 0.0007n² + 1000n +5 is O O(nlogn) O O(n) O 0(1) O O(n²)

A: Here, f(n) = 0.0007 n^2 + 1000 n + 5

Q: 1. Write the following in the form f(x) = Ba". - (;) (*) 20 (a) f(x) = (b) f(x) = 5(3")(9ª) (c) f(x)…

A:

Q: 구 4- 3- -5 -4 -3 -2 -1 4 -2 -4 -5 -7 of -8- f(x) = %3D

A: find the equation of the curve