3 Let f (x) = iVx, 1 < x < 4 a. Find P(X<3|X>2) b. Find E[X] c. Find Var X

Q: Find intervals where g(x) = 3x − x3 is increasing

A:

Q: Consider the function f(x) where. 2x²-x +3. if x>2 jf x=2 if x<a f(x) = 4 4-X Is the function…

A: Solution:

Q: snip

A: If f(x)=ax, Then to show that, f(αx)=f(x)α

Q: Consider the following function and closed interval. g(x) = (x² – 9)²/3, [-5, 4]

A:

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: Is the following function continuous at x = 2? Explain why or why not. x2 +x – 6 - :x > 2 f(x) = x –…

A:

Q: Find removable discontinuities in f(x)=9x5-3x2+1

A: To remove discontinuity we need to factor numerator and denominator.

Q: state all intervals of x where f(x) is increasing.

A: TO FIND INTERVAL WHERE f(x) is INCREASING FIND f '(x) and see interval where f '(x) &gt;0 f(x)…

Q: f (x) = x + 2x³ – x² – 2 %3D

A: Given: Determine if the given function is continuous at every real number f(x)=x4+2x3-x2-2

Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

A:

Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

A:

Q: 25. Let f(x) = 5x² + 1. Evaluate and simplify each of the following: f(4)-f(1) 4-1 (A) (Bu PC (B)…

A: Given function is we have to evaluate the following  and simplify them