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F O R C A L C U LU S W / A N A LY T I C G E O M E T RY M T H 1 7 3
ARE YOU READY?
ARE YOUR READY
• The following Power Point will consist of15 math problems that every student should be accustomed to solving before entering into the following class. Students should attempt to solve each problem on their own than check their answers (see last page) to see how they did. Instructional links will be provided in case the students needs additional help.
• Most professors of Calculus with Analytic Geometry will tell you that the trigonometry portion of the course is the most important prerequisite of the course and is often overlooked by students. See the link below for quick review of trigonometry http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf
PROBLEM 1
Know Your Trig Functions & Their Relationships
PROBLEM 2
Know The Relationship Between The Trig Functions and the Right Triangle
PROBLEM 3
Converting the following degree to radians by multiplying by
PROBLEM 4
Knowing the basic angles in degrees and radians
Degrees 0 30 45 60 90 180 270 360
Radians 0
PROBLEM 5
Knowing The Unit Circle.
PROBLEM 6
Use the Leading Coefficient Test to determine the end behavior of the graph.
PROBLEM 7
Using Long Division of Polynomials Divide
PROBLEM 8
Find The Vertical Asymptote of The Rational Function
PROBLEM 9
Find The Horizontal Asymptote of The Rational Function
PROBLEM 10
A ball is thrown vertically upward from the top of the Leaning Tower of Pisa (190 ft) with an initial velocity of 96 ft/sec. During which time period will the ball’s height exceed that of the tower?
PROBLEM 11
Write each equation in its equivalent exponential form:
Write each equation in its equivalent logarithmic form:
PROBLEM 12
Solve The Equation By Completing The Square
PROBLEM 13
Rationalize The Denominator
PROBLEM 14
Solve the equation (check the proposed solution)
PROBLEM 15
Perform The Indicated Operations (without calculator)
=
=
=
ANSWERS
1) The Graph Falls To The Left and Falls To Right2) x+73) Vertical asymptotes at x = 3, x = -34) Horizontal asymptote y = 25) Between (0,6) seconds6) , 7) 8) 9) a = 8, However, there is no solution since the following would yield a division by zero.10)