1 F(s) = ;L-1{F(s)} =? (s+1)(s²+1) elect the correctresponse: o f(t) = -e-t +te-t+e* %3D NONE OF THESE

Q: f(x) = 2x + 5 x + 1 find f-¹ (3) = Select one: O a. -2 O b. 1 O c. none of the options given O d.…

A: To find inverse of given function at 3.

Q: Vx + 3 Given f(x) then f-(x) will be %3D 4 A. 16x? + 24x +9 B. (4x + 3)2 C. (4x - 3)2 D. 16x2 – 9…

A: The given function is

Q: f(x) = - 4x-1 and g(x) = x- 4. nd (fo g)(6). en (fo g)(6) = : (Simplify your answer.) %3D

A: follow next step

Q: x² + x – 2 ? What is the point of discontinuity of

A: here is we see that function is not define when x=2

Q: x + 4 if f = 2r3 +1, find f(1). 5x – 4 -

A: Given,

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

A:

Q: The domain of f(x) VI+4 %3D エ

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

Q: x2 + (12 – 5x) | a. Evaluate f(6) given that f(x) = 8x f(6) = Preview b. Evaluate g(x + 2) given…

A:

Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: V5 – 1 Given x = find x4 + x3 +2x – 1. 2.

A: Given, x= (√5 -1)/2 = (2.236067977-1)/2 x= 0.618033988

Q: Determine the power function that resembles the end behavior of 4 f(x) = -4x*(5 – 3x)*(2r + 7)* ( –…

A: 1. Power function P = axn a ,n= real constant, x is variable. 2. The end behavior of f(x)  means…

Q: 3r + 3z-5 Evaluate f(a) at a -4.

A:

Q: find the answer T(4). (B(4) X N() -

A:

Q: 56. f(x) 16x (4x2 - V16r* + 1 V16r + 1) %3D

A: 56. Here the given function  fx=16x24x2-16x4+1 Simplify the given function as…

Q: Let f (2) = 2x –7 and 9 (2) = -4x +3 Find (g o f) (3) %3D

A: Given that, the functions are fx=2x-7 and gx=-4x+3. Obtain g∘fx.…

Q: Find fo go h. f(x) = √√x-3, g(x) = x², h(x) = x³ + 4

A: f(x)=x−3,g(x)=x2,h(x)=x3+4

Q: For f (x) = x² + 2x – 2, what value of g (x) gives (f– g) (3) = 11? O a) 2 O b) -11 O c) -2 d) 11

A:

Q: Jx-6dx is 3(x-6)% -+c 2 Ob. (x-6) +c O . (x-6)% 2 O d. 2(x-6)% -+c 3

A: I=∫x-6 dx   Let x-6=t⇒d(x-6)=dt⇒dx=dt

Q: Given f(x) —D бх + 2, find f(x + 3). О а. f (x + 3) %3D бх? + 20х + 6 O Б.f(x + 3) %3х+5 О с. f (x +…

A:

Q: Find the values for which the function y 2x – 9r2 + 12r is (a) increasing; (b) decreasing.

A: Answer

Q: 2x+ 1 Let f(x) = Compute f (2). 3x - 2 O A. 0 O B. -2 OC. 1 O D. 1 3 O E. 2 3.

A: Just I have used the quotient rule of derivative and easily find the required solution. Option (B)…

Q: dx (x2 + 2)2

A:

Q: S -3 X -dx Select one: 0-31n|x + C 0-3log|x + C 0 - 3x + C 3ln|x + C 3log|x + C

A:

Q: Let f(x) = x² + x and g(x) = x – 5. Find each of the following: a. (f + g)(4) b. (f – g)(x) and (f –…

A: given f(x)=x2+x and g(x)=x-5 we need to find the

Q: × (+) h (t) -3t -e 2.

A: The given graphical convolution is                 If x(t)=-e-3t u(t), a>0and h(t)=u(t) for…

Q: For f (x) = x² + 2x – 2, what value of g (x) gives (f – g) (3) = 11? O a) 2 b) -11 c) -2 O d) 11

A:

Q: dx x(x2 – 8x + 16)

A: Use partial fraction to solve

Q: Find (fo g)(x). f(x) = /x +7, g(x)= 8x- 11 O A. 2/2x-1 O B. 8Vx+7-11 O C. 2/2x+1 O D. 8Vx-4 Click to…

A:

Q: Find f(-8), if f(x) = x² + 5x - 27

A: The given function is: f(x)=x2+5x-27

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.