Unit 1 Review:
4) Using the function f(x)= { 3x+2 -3 < x < 1
{ -2x + 5 1 < x < 4
and plot on a graph
Unit 1 Review:
3) Using the definition of an inverse, explain why f(x) and g(x) inverses of one another?
Why or why not?
Unit 1 Review:
2) Find f(g(x)) and g(f(x)) given f(x) = 2x+8 and g(x) = 1/2x - 4
Unit 1 Review:
1) Find inverse of g(x) = 3x+1/ 2
Use a triple integral to determine the volume of the region bounded by z =
p
x
2 + y
2 and z = x
2 + y
2
In 1st octant
Consider the surface S = n (x, y, z) | z = p x 2 + y 2 and 1 ≤ z ≤ 3 o .(a) Sketch the surface S in R 3 . Also show its XY-projection on your sketch. (2) (b) Evaluate the area of S, using a surface integral
Polynomial Inequalities:
7) 12 - x - x^2 < 0
show number line and answer in interval notation