Quiz 5 Solutions
1. Simplify the following expressions: a) 3 x1 32 x1 3 x12 x1 33 x OR 27 x
b)
32 x 3 2 x x 2 3 2 x x 2 3 x 2 x2 3
c) e 2 x
2
e4x
2. Write
3 x 1 4
x
in the form ca x where c is a constant and a 0 . Show all of your steps.
3 x 1 3 x 3 3x 3
Math 1022 Test 1 Review Answer Key Spring 2008 Solutions for odd problems and chapter 3 review exercises can be found in the textbook. 3.1 32. (a) - 36 (b) 4 - 3 2 - u 4 (c) 4 + 6 - 4 2 (d) - 8 + 6 + 2 2 u u u u u 9 9 60. - ,
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Section 2.2 (Sketch by Transformations)
Problem 1 17(1) 2 31" is plotted. Use transformation(s) to sketch f (I) : 3Ml 2. Show
asymptotes if there are any.
Method
Every point (x,y) on F (1) is transformed (moved) to point (a: Ly 2) to sketch at). For
exa
j Magrh 1022 I
[Section (Skztch 3y Mnsforzzatitgs)
L Problem 1 1'4 I ;- ii" is pluttvd. 1350. t.rmxsfnrm.-1tinn(s} m skdrh : .- I ' 'L ' ilmw
usympmixs if there are an}:
Hamil
Every [mint (Ly) on I" :1 is tnmsfm'uux! (mm-ml) to point (I Ly 2) to sketch
fdcaaima
section 3.3 07%.
This le has 3 different kinds of problems and all are very important.
(i) Sketching and labeling key points.
(ii) For a given function, find amplitude and period, and then plot the function.
(iii) For a given graph, nd amplitud
Math 1022 Test 2 Review Answer Key Spring 2008 Solutions for odd problems can be found in the textbook.
5.1 14. 1 54. x = 3 118. a) $11,871.65 b) $20,427.93 5.3 24. 1 40. u - 3
1 ) 88. 6 log b x - log b ( x + 4 2
) 94. log b (
Math 1022: Review, Test 1 Spring 2008
The time allotted to the test is 1 hour 15 minutes. NO CALCULATORS OR SCRAP PAPER are allowed on the test. MSRC Reviews Thursday, February 14; 4:10pm - 6:00pm Anderson Lecture 14 Monday, February 18; 4:40pm - 6
Math 1022: Review, Test 2 Spring 2008 Thursday, March 20 and Friday, March 21
The time allotted to the test is 1 hour 15 minutes. Please bring a SCIENTIFIC CALCULATOR to the test. NO GRAPHING CALCULATORS are allowed. No scrap paper is allowed. MSRC
Extra Credit - Quiz 5
As I stated in class, you can make up 1/2 the credit lost on a problem on Quiz 5 if you answer the appropriate replacement problem from the list below correctly. YOU MUST ALSO STATE ALL THE LAWS OF EXPONENTS THAT YOU USE TO SOLVE ANY
1/13/2011
Department of Mathematics | Temple
MATHEMATICS
SPRING 2011 COURSE SYLLABUS
For other mathematics syllabi, click here.
Course: M athematics 1022.016. Course Title: Precalculus. Time: T R 9:50 - 11:30. Place: BB 202. Instructor: Downing, Marilena
Quiz 6 Solutions
Name_
1. Simplify the following expressions: a) log 2 1 0
2
since
21 0
b) log 0.0001 4 since 10 4 0.0001 d) 3log3 5log3 4 3log3 5 / 4 5 / 4
c) e 2 ln 2 e ln 2 4 2. (a) Convert 2 x 7.2 to logarithmic form. log 2 7.2 x (b) Convert ln x 4 to
1.
How do you find the intervals where a function is increasing?
How do you find the intervals where a function is decreasing?
Take the derivative of the function and determine where the derivative is positive and
where the derivative is negative. When f
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