Math 109: Trigonometry Proofs Fixed
Samantha Lui, Andrew Dynneson and Aaron Gruberg
The purpose of this paper is to ll in the gaps left open for the trigonometric identities in the
textbook for our class, Precalculus: A Prelude to Calculus by Sheldon Axle
Precalculus Practice Exam II Andrew Dynneson
(1) Find a number w such that:
4 ln w
= 1.7
5 5 ln w
[4.3; 32]
(2) Find all numbers x that satisfy the given equations: (a)
ln(11x)
=2
ln(4x)
[4.3;22] (b)
ln(x + 4) ln(x 2) = 5
[4.3;18]
(c) [Calculator] (ln(6x)
Precalculus Practice Final Andrew Dynneson
(1) Find two positive numbers whose dierence equals 4 and whose product equals 25.
[2.2;16]
(2) Find all real numners x such that x6 4x3 45 = 0
[2.4;20]
(3) Suppose:
r ( x) =
x+1
x2 + 1
1
Find two distinct number