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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

Find the maximum height of the curve
find the given following limits step by step
(i) lim x---> 2 (x
Express the function g, defined by g(x)=1/√(x+√x) as a composition of three functions.

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


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