find the limit f(x) = 2x2 -3, if x-2 13-x, ifx < -2 then, determine if...
(+3) The pdf f(x) of a random variable X is given by 0, ifx<0 Find the cumulative distribution function F(r
Graph the function. f(x) 1-3 ifx<-1 2x+1 tfx 2-1 o 3 2+ O 1 --- +1 cf +4 KA + 1
Find: 1. Find (2x2 + y2) DV where Q = { (x,y,z) 0 < x <3, -2 <y <1, 152<2} ЛАЛ
2. Find the value of c so that the function is continuous everywhere. f(x) = 02 – 22 r<2 1+c => 2 {
f(x) = 2x2 – 3, if x < 2 x2, if 2<x< 4 5x – 7, if x > 4 a) f(0) b) f(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...
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
Calculate the work done by the vector field F(x,y)=4xy, 2x2 along a smooth, simple curve from point (3, −1) to point (4, 2) We were unable to transcribe this imageWe were unable to transcribe this image
12. Suppose f(x) is defined as shown below +3 if s 2 f(x) = 3x if x <2 Determine whether or not that f is continuous at 2. 13. Evaluate the following limit.
Consider f(x) = x[x] - 1<x< 1 Is the function even? Odd? Or neither/ Expand f in an appropriate series. Find the limit of the series on the interval (-1,1).