cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x +...
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
2. For f(x) = f(x) = $2x+5, Xs1 14 + 3x, x>1 a. Find f (1) b. Find lim f(x) X1 C. Is f(x) continuous? Why, or why not?
X+2 X<3 n. lim f(x), where f(x)= { x3 12-2x x>3 3
(2x - 1 if x < -1 2. Suppose f(x) = 2x2 - 4 if-1<x52 (log: (x - 1) if x > 2 a) Is f continuous at x = -1? Justify your answer completely. b) Is f continuous at x = 22 Justify your answer completely. 3. Suppose f(x) = x2 + 3x a) Using the definition of derivative, find f'(x). No credit will be given if shortcuts are used. b) Find the equation of the tangent line to...
(6) Evaluate the Riemann sum for f(x) = x2 + 2x – 1, 1 < x < 4 with six subintervals, taking the sample points to be right endpoints.
Given the following piecewise function, evaluate f(-5). I < -4 f(x) = . 1-42 -3x (x² – 2 -4 < x < 0 0<x
* For the function f(x) = (3x + 5 if x 20 6 if x < 0. find f(-10)
2x 0<x<1 Let X be a continuous random variable with probability density function f(x)= To else The cumulative distribution function is F(x). Find EX.
Given the following piecewise function, evaluate f(2). 2.1 <-3 f(x) = { -3x +1 -3 <<< 2 22 - 2 2 << Do not include "f(2)="in your answer.
Evaluate the Riemann sum for f(x) = x2 + 2x – 1, 1<x< 4 with six subintervals, taking the sample points to be right endpoints.