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

Q: 2s + 1 7. F(s) = %3D s2 - 2s + 2 1- 2s 9. F(s) %3D s2 + 4s +5

A:

Q: 1. F(s) = 16/[s(s²+4)] 2. F(s) = (8s + 11)/[(s-4)(s²+9)]

A: We have to solve by inverse Laplace transform.

Q: (a) Y(s)-e-5s (85-3) s²+6s+12

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Increasing and decreasing functions Find the intervals onwhich f is increasing and decreasing.…

A: Given: fx=4-x2, fx=x2-16, fx=x-12 We know that any given functionfx is increasing in a interval if…

Q: Determine £(F) s -7s+11 F(s)= (s+ 1 (s +6)

A: Given that  F(s)=2s2-7s+11s+12(s+6)

Q: logs(x) if 3 s x 56 if 0 < x < 3 +1 if -2 s*s0 x-2 Let f(x) = %3D x+1 Find f ().

A: Given fx=log5x2if 3≤x≤6x-2x+1if 0&lt;x&lt;3x2+1if -2≤x≤0

Q: fx=å (3in (x*ry)-x2) %3D fy = Ly(31n (x*+y)-x2) %3D d fe-(3in (x*ry)-x2)

A:

Q: Can you please answer this question and show the work

A:

Q: Determine L '{F}. - 1 2. 3s + 4s + 2 F(s) = %3D (s+ 1) (s + 2)

A:

Q: dx For (x+x³) (xtan-1(1) +1) =n(F(x))+C. What is F (/3) if C=0? A

A: Integrate the function to find F(x).

Q: 9. f(x)= 3x-4; vertical stretch by factor 4 %3D 10. f(x) = |x- 3; 3 units left then 2 units up

A: (Question 9) We have to write the new function g(x) after the transformation of the following…

Q: 5. Repeat the process for r = 4, but let x0 = 0.201. How does this behavior compare with the…

A: Given values are  Common Ratio, r=4 No. of terms, n=100 Initial value,  x0=0.201  We compare other…

Q: 3s - 2s - (s-3)(s² +1) %3D (1 + ;s)(E = $) = (s)d

A:

Q: 8s – 3 F(s) s2 – 36

A:

Q: (-4x-12) dx For f (x+10)3(x-4)3 F(x) – 1. What is F(3)?

A:

Q: L[(t + 1)2e] = ? %3D s2-1 s2 +1 (s-1)2 (s – 1)2 -

A:

Q: S - 2 ifx s 0 1- 2x2 if > 0 10. If f(x) = find (a) f(-1), (b) f(0),

A:

Q: S 3x° V1 – 2x3 x3 – 3x if a 0 1. Let f(x) = Evaluate S, f(x)dx

A:

Q: X(s)=(s^2+6s+7)/(s^2+3s+2) and Re{s}>-1 what is x(t)?

A: We are given : X(s)=s2+6s+7s2+3s+2 ⇒X(s)=s2+3s+2+3s+5s2+3s+2 ⇒X(s)=1+3s+5s2+3s+2 ---(1) Now,…

Q: 4. Evaluate only one of x'dx a) f (x² +4)

A:

Q: 3s 4) F (s) = s2+2s-8

A: Note:-     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: (1)F (s)= s +9 2s2 +s -1 %3D

A: Given: L-1s+92s2+s-1

Q: -10 9. If S"f(x) + g(x))dx = 10, Sio g(x)dx = 3 and So 3f (x)dx = -45, 10 find f(x)dx

A:

Q: 2s +1 s2 – 2s + 2 7. F(s) = %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. s=+- 5. y= X+1 2 x+ 1 6. f( x)=. 1- 2 x 2 7. y=2 x + 3 x'

A:

Q: f"(x) = 20x3 + 12x2 + 4 with the initial conditions f(0) particular f(x). = 8 and f(1) = 5. Det

A:

Q: Given 3s2 + 9s – 2 F(s) = (s - 1)(s2 + 4s+ 5) Find f (t).

A: We will find out the required solution Laplace transform method.

Q: Evaluate each expression using the functions

A: Consider the given functions. fx=2-xgx=-x-2≤x&lt;0x-1-2≤x&lt;0 (a) Now, find the value of f(g(0)).…

Q: 2Fs1 ² f (x, y) dx² proof. (H-w-) 2 ./ = P√= f (gy) - P²Fs (Psy) ар(х,у) 0 as x If f (x,y) → 2

A: Introduction: A Fourier transform (FT) is a mathematical transformation that decomposes capabilities…

Q: -1 Ans. f. = Tx+ y}, (r+y} -1 5) f(x, y) =- x+y

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Find the function y(x) satisfying -8/9 = 6x dx and y(-1) = - 4. dy :-8/9 The function y(x)…

A: Integrate the equation dydx=6x-8/9 with respect to x.…

Q: f(s) = s² +5 2 3s³+2s²+5s find f(t)

A:

Q: f(x)= s-1)² - 1

A:

Q: 3s +2 1 Find L-1 s2 + 4s + 29

A: To find laplace inverse.

Q: dx 4. S хV25-х2 5+Vx2-25 + C а. 5+Vx2-25 b. In + C c. --In 5+v25-x2 + C с. 5 d. None of the above

A:

Q: 6 3x? + 3 Find the general antiderivative of f(x) - + C

A: From the given function: fx=-3x2+6x-3x5-4x As we know that; The expression to calculate the…

Q: .7 f(x)dx= 12 and f(x)dx = 3.1, then 5. If %3D

A:

Q: a) | f(x)dx = -10 %3D 4 b) f(x) dx = -10.5 4 c) f(x) dx = -17.5 10 d) / f(x) dx = 9 %3D 10 e) -5…

A:

Q: determine L−1[F].

A:

Q: Compute f(x)dx 2x if x <1 4 if x21 f(x) =

A:

Q: 2x-3 for x - 5 +メ find all the values of which dis continuous ヒ=2

A:

Q: L?{F} Determine 6s- 13s+2 F (s) %3D s(s-1)(s-6)

A:

Q: s(x)= 2x2 t(x)= 3X (S x t)(X)= (S+t)(X)=  (S-t)(-2)=

A:

Q: 6) S(x, y)= 2x +3xy+4y-5x +2y Ans. f(2,-1) =-6 local min.

A:

Q: c. f(x) = v4x + 5 when x = 5 %3D d. f(x) = {2x S4x2 +8 x s 5 x > 5 when x = 5 %3D

A: From the given problem: (a). fx=x2+4x+10 Now find the value of function value at x=3. f3=32+43+10

Q: Sx² - 1 if x > 0 lx +1 ifx < 0 f(x) = What is the range? * O (-1,+*) O R-(0} (-00,1)

A: The domain of f(x): The set of values of x for which the function f(x) is defined.  Range of f(x):…

Q: 2s – 3 F(s) s2 + 2s + 10

A:

Q: determine L−1[F].

A: Given Fs=2s+3ss2-2s+5.

Q: 2s2 + s+3 F(s) = %3D (s- 1) (s+ 2)2

A: