1. Suppose that X ~ B(10, 0.12). Calculate: (b) P(X= 6) (е) Е(X) (а) Р(Х — 3) (d) P(X>7) (c) P(X<2) (f) Var(X)

Q: V3 х, 1 x' = x(0) = %3D

A: Since you posted a multiple question but according to guidelines, we will solve the first question…

Q: Given f(x) = 1 –}(9+ 3x) + †(9 + 3x)² – (9 + 3x)³ then f'(x) = %3D O - + (9 + 3æ) – 243 (9 +…

A:

Q: 1. if f(x)= x2-4,  g(x)=x3 , F(x)=1/(x-3) a. F(g(y)) b. f(square root of x4+2)

A: F(g(y)) can be obtained by replacing x by g(y) in F(x)

Q: Given f(r, y) = 4a* + 3a*y" - 3y, find 2.6 f:(z, y) = f,(z, y) - fz(2, y) fay(x, y) =

A:

Q: Given f(z) = 1-홍(10 + 7z) + 응(10 + 7a)2 - (10+7 then f'(x) =, %3|

A: Find your answer below

Q: If fx) x) f(1) = and f(1) -2, find 1) -16/13

A: Formula used:

Q: f f(x) = 4x² + 4 and g(x) = 2x – 1. What is (f –- g)(3)? 35 В. :. 45 D.

A: In this question, concept of operation of function is applied. Function In mathematics, functions…

Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: 3. Given f(x) = x²?+ 2x and g(x) = 2x - 10, determine: a) (f + g) (x) g(x) b) c) (f og)(x) f(x)

A:

Q: Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108…

A: We have given function  fx=x4 Put x=81 f81=814=344=3 Linear approximation at x=a is given as…

Q: Find the max or min value of /x) -3x + 6x + 4

A: We have to find the maximum or the minimum value of the following function -  f(x) = -3x2+6x+4

Q: 3) g(x) = x + 2 f(x) = x³ + 4x Find (g · f)(x) А) бх* - бх3 + бх? - бх 2x + 4x2 – 8x 4) f(x) = x² –…

A:

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: Given f(a) = 1- 홀 (3 + 4a) + 용(3+ 4z)2 - 꿈 (3+ 42)3 then f'(x) = 27 (3 + 4x) 8. 흥(3+ 4z) + (3+ 4z)2…

A: topic - derivative of a function

Q: 2. Suppose that f(4) = 2, g(4) = 5, f/(4) = 6, and g/(4) = -3. Find h/(4). a. h(x) = f(x)g(x) b.…

A:

Q: x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 -…

A: To show: The equation x3-3x2-6xx2-9=x-3-3x-3+6x+3 and then evaluate the integral ∫x3-3x2-6xx2-9.…

Q: 9.Suppose that f(700)=8000 and f ′(700)=20. Estimate each of the following. ​(a) f(701) ​(b)…

A:

Q: Find the Derivative

A: The derivative of a function with respect to a variable is equal to the instantaneous rate of change…

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A:

Q: 8. Simplify f(x + h) - f(x), where: a) f(x) = 2x + 3 b) f(x) = 1 c) f(x) = x² %3D 1 2.

A: a) f(x)=2x+3b) f(x)=x2c) f(x)=11

Q: Given f(z) %3D 1-홀 (9+3x) + 을(9+ 3z)2-꿈 (9+3z)3 then f'(a) = 0-을 + 꼴 (9+ 3z) -부 (9 + 3z)2+ 0을-을(9+…

A: