4. Suppose is a discrete rv with E(9X + 2) = 20 and E(X²) = 13. (a) Find E (X) (b) Find V (X)

Q: suppose f (2) = 4, f ′(2) = 6, g(2) = −1, g′(2) = 3, and f ′(−1) = 5. Give h′(2) when h is defined…

A:

Q: If f(x)=nx, g(x)=e2x, and h(x)=g(f(x)), find n such that h'(0)=100

A: Given  f(x)=nxand g(x)=e2xAnd h(x)=g(f(x))h(x)=g(nx)h(x)=e2nxh'(x)=2ne2nx

Q: 15. With f(x) = 3x +1 and h(r) = 2x – 4, find (f oh)(5) - %3D

A: we know that  (fog)(x) = f (g(x))

Q: If h(x)=√ 7 + 6f(x), where f(1)= 7 and f (1)= 2, find h(1). h'(1) = x

A: Given function Where

Q: Given g(x) = In(7x5 + æ), the derivative g'(x) is 5x4 35x4 +1 7x5 + I O 7z5 +x 7x +I 35x4 +1 O 35x*…

A:

Q: The function f(x) is invertible. Find (f-1)' (-8) given that f(x) = -x³ – 4x – 3.

A: f(x) = -x3-4x-3 We will use the formula for the derivative of the inverse function: f-1'x0=1f'(x0)…

Q: 1. f (x² + 1)(x² + 3x) dx

A: To evaluate the given integral.∫x2+1x3+3x4dx

Q: Let f(x) = 3x + 1, x, = -1, x, = 0, x3 = 1, x4 = 2, and X5 = 3. Find E f(x,).

A: we have the given the following details   f(x)=3x+1x1=-1x2=0x3=1x4=2x5=3We have to find∑i=15f(xi)

Q: Let g(x) = x³ – 2x + 6. Find f(x) so that f'(x) = g'(x) and f(1) = 2. NOTE: Enter the exact answer.…

A:

Q: 14. Given the functions f(x)=x +1, g(x)=/2x and h(x)=- x+3 find: %3D a) f(8(9)) b) f(8(x)) c)…

A: Given  f(x) , g(x) and h(x)

Q: 1. Find the function f(x) if f'(x) = 3x² – 2.x +5 and f(0) = 5 %3D

A: Given, f'x=3x2-2x+5f0=5 To find, The function f(x).

Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: Find f (x). f(x) = 2 In (1 + 7x?) f(x) = %3D

A: f(x)=2ln(1+x2 ) Differentiating w.r.t x both sides, we have f'(x)=2ddx (ln(1+x2))…

Q: 11. If f(x) = 2x and g(x) = x² – 15, what is (g−ƒ)(3)? ✓✓✓

A:

Q: - Find (a) for dr (b) fxºdx (c) [10e-de 10eª0dx

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: 7. If y = e*², then d²y dx2 boins9 (A) (2x)(x² – 1)e*²-2 stod beniu (B) ex2 (C) 2xe*2 (D) (2 +…

A:

Q: You roll a die. If it comes up a 6, you win $100. If not, you get to roll again. If you get a 6 the…

A: a) The probability model for the amount you win is:EventProbabilityWinnings61/6$100Not 65/6 *…

Q: or h' (x):

A: Given that: The equation is h ( x) = g ( x 2 + f ( 3x) ).

Q: If f(x) = and g(æ) = f-'(x), find g' (x). O g'(x) = 3z2 O g (x) = O g (¤) = - O g(x) = - 2z

A:

Q: Suppose F′′(x)=Ax+B, with F′(1)=r and F(1)=s. Find F′(x) in terms of A, B, and r. F′(x)= Now find…

A: given  F''(x)=Ax+BF'(1)=r and  F(1)=sF'(x)=∫(Ax+B)dx∫xndx=xn+1n+1+c

Q: Given the functions f(x) = 3+ Vã, g(x) = x² – 3, h(x) 1 - x m(r): I - 3 find the following: 3x + 5'…

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.