Let F(s) = L-¹{F(s)} = ? 1 f(t) = e-8 tsin(√7t) √7 f(t)=e8tsin(√7t) O O f(t) = e 1 s²+16 s+71 -8 t cos(√7t) √√7 f(t) = -—-e-8 tsin(7 t) O None of the others Give your reasons then

Q: Let f(x) = 4x + 3. Determine (f ofo f)(x). (f o f o f)(x)

A: Composite functions: composite functions are the functions substituted inside the other function.…

Q: 1. O A. 4 +0+ ヤ+LXA 3 x² 1 O B. (x? + 4) /2 - 4x² + 4 +0 312

A:

Q: To show that ( n + a ) b = θ ( n b ) ( n + a ) b = θ ( n b ) for any real constants a a and b b…

A: Here we use the binomial expansion:

Q: nsider the following. -2x5 + 9x4-7x³ - 12x = 0, [3,4] ) Explain how we know that the given equation…

A: In this question, we will find the solution of the equation.

Q: Derive the expression F1− F2 = (F1 − Fc)[exp( f φ) − 1/exp( f φ)] using the equation (F1− Fc/F2−…

A: Given efφ=F1-Fc/F2-Fc=F1F2-Fc-F2FcF2 1efφ=F2F1F2-Fc-F2Fc Now…

Q: Write f(t) = 7e.8t in the form f(t) = Pob' and determine Po and b. (Give exact answers using…

A: given that  f(t) =7e1.8t  = 7(e1.8) t .......... (1)  and f(t) = Pobt............ (2)  Now on…

Q: a). find f o g b.) find g o f

A: Given that : The equation of the functions f(x) = 1x2+ 4  and g(x) = x - 2 .

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

A:

Q: Estimate the error in √(x-1)=1+x/2 when |x| < 0.01.

A:

Q: Let f(x) = 2(x − 3)2 − 4. Find  f(4). f(4) =

A: To calculate f(4) when f(x) is given , we just need to put x=4.

Q: Derive the expression  F1− F2 = (F1 − Fc)exp( f φ) − 1/exp( f φ) using the equation (F1− Fc/F2− Fc)=…

A: Given that, F1− FcF2− Fc= efφ To derive F1-F2=F1 − Fcefφ-1efφ. Consider, F1− FcF2− Fc= efφ Then,…

Q: Give the formula for f(n) (x) where f(x)= 1/(3x-1)

A:

Q: Let a, b 0. Find f(100) (a) provided that x³ (a - bx)²* f(x) =

A:

Q: f(t) = L-¹{F(s)} e nt sin(at) sin(6t) + 6t cos(6t) F(s)=L{f(t)} $-2500 s¹Y (s) - s³yo - s²yo - syo -…

A:

Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

A:

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(t+1) b. f[g(-2)]

A: Givenf(x)=2x+1 and g(x)=2x2-1

Q: Which of the following functions is not even? f(x)=√x² - 1 1 f(x) = ₁ 1 + x² f(x) = cosecx f(x) =…

A: Functions :

Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,

Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: x² – 4 Evaluate: O -V-4+2sec-() +c (A + C B = 2/ x2 – 4 + sec + C = /x² – 4 + sec (4) c) + C -Vx² -4…

A:

Q: Let f(x) = 3+ √5-8. Find f f(₂)=[

A:

Q: k²-4 Find k so that -In³ (kx + x) = - dx -In²(kx+). kx+1

A:

Q: (D) h(x) = (gog)(x). h(x) = sqrt(4-(sqrt(4-x))) Domain= (-12,4]

A: Given; h(x)=sqrt[4-sqrt(4-x)].

Q: Find f(x) such that • ff(x) dx = 1/√ √ x² + 4 + C

A: