F(s) = s+s Ans. f(t) =1-e

Q: H(t) models the rate of hoverboard sales, in hoverboards per day, from an electronics store during…

A: H(t) is the rate of hoverboard sales, in hoverboards per day. To get the exact number of sales over…

Q: I-fp y 3 dy For the function y = f(x) = x² – 4x - 2, a > 2, find | (1)(3) =

A: An inverse function or an anti function is defined as a function, which can reverse into another…

Q: Find F′(x).

A: We know that, ddx1x=-1x2 Also, ddxaf(x)=addx(f(x)) where a is a constant.

Q: Let fix.y) = In (x³y) . If f(6.2)=f,(5,a) what is the value of a? O a. 1 Ob.-1 O.0 O d.2 Oe. -2

A:

Q: Consider the function s(t) = t2 − 1 − t. What is the value of s(3)?

A:

Q: 23. Let f(x) = 3x - 1 and g(x) = x – 2. (a) If f(2x) =g(3x), find the value of x. (b) If H(x) =…

A: Given:fx=3x-1gx=x-2 To find: (a)   If f2x=g3x, find the value of x (b)   If Hx=3fx+2gx and Ha=5,…

Q: '5 ven f(x) dx = 19 and f(x) dx = 11, evaluate (a) f(x) dx. (b) F(x) dx. /5 (c) f(x) dx. '5 (d)…

A: Topic:- definite integration

Q: 10 ¹0 f(x)dx is exaclty Select one: O a. 5 ¹₁ ƒ(5x + 5)dx O b. ¹₁ f(2.5x+7.5)dx O c. 2.5 ¹₁ f(2.5x +…

A: The given integral is: ∫510 f(x) dx

Q: f(t) = V 6t + 3, (금) -

A:

Q: Find f(t). 3s (s - 8)2 f(t) =

A: Properties of the Inverse Laplace transform  L-11s-a=eat L-1aF(s)+bG(s)=aL-1F(s)+bL-1G(s)…

Q: If f(t)dt = r2 %3D 55

A:

Q: 7. f(x) dx = 12, evaluate '5 Given f(x) dx = 19 and 7 (a) f(x) dx. (Ь) f(x) dx. /5 (c) f(x) dx. J5…

A:

Q: Find F(s). L{t12e-6ty F(s) = =

A:

Q: 5. f: R R by f(x) = r³ + 1. %3D Find f(3) = %3D Find f-(10) = %3D Find f-(9) = %3D

A: We need to find the value of f at X=3 and also we need to find the inverse

Q: '3. 9. Given fx) dx = 4 and f(x) dx = -1, evaluate the following. 9. (a) f(x) dx (b) f(x) dx 3 (c)…

A:

Q: For f(x) = x? – 5x - 6, find f(2), f'(2), and f(3) – f(2). f(2) = a. b. f'(2) %3D c. f(3) – f(2) -

A: The given function is fx=x2-5x-6

Q: Suppose f(x) = (-) Evaluate: /(x) dr (A) +C 3. In (5) 3x 3. B +C In (5) · In (5) +C 3x · In (5) +C

A:

Q: 4s + 49 Let F (s): Find L'{F(s)}. %3D s2 + 49 (s+2)*

A: The given function is F(s)=4s+49s2+49+ss+22 to find the inverse Laplace of the given function…

Q: 1. Given F(s) = L(f), find f (t)/ Show the details. %3D 2s+16 i. s2-16 10 i. 2s+v2 20 ii. (s-1)(s+4)

A: iii) 20s-1s+4 L-120s-1s+4 20s-1s+4=a0s-1+a1s+4 20=a0s+4+a1s-1 s=-4 ⇒a1=-4s=1  ⇒a0=4

Q: 2x + 3 If f(x) = then x – 2 dy / (x – 2)² dx ||

A: fx=2x+3x-2

Q: The data for the joint probability mass function of X and Y (two different measurement systems) are…

A: Note: As per bartleby guidelines only first three sub parts are to be solved. Please upload other…

Q: dy 2- (a) Determine dx if y = V(3x2 + 2)3 – 8 . (b) State any values of x for which the function…

A: Given that: y=3x2+23−8

Q: 7. Suppose fis an odd function, f(x) dx = 2 and | f(x) dx = 7. Evaluate f(x) dx.

A:

Q: Q8: Calculating Derivatives from the Definition. f(x) = x2 – 3x - 1 %3D

A:

Q: E-76 =(7)5 71 (7) £75-3

A:

Q: e-s s(s + 1) ]) «(-| f(t) =

A: Here we have to find out inverse Laplace transform.

Q: 2 – t 0 2 f(t) =

A: