LOGARITHMIC FUNCTIONS (1.4) 1. Find (if possible): A. log ( 1.035 ) 1 B. log 4 64
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C. log 2 ( 4 )
D. ln ( e )
E. log 9 ( 3)
nt 2. Derive the formula for the tripling time for P = P0 a . What does this tripling time depend on? Do we need to make any
Exam 2 Review
Here are some suggested review problems to try in addition to those on quizzes, homeworks, and examples in class. Also, the answer to web assign questions are available online. Solutions to handouts will be scanned by Saturday, 3/1. Mak
Math 124 Exam 4 Nov. 30, 2006
SOLUTIONS
Directions 1. SHOW YOUR WORK and be thorough in your solutions. Partial credit will only be given for work shown. 2. Any numerical answers should be left in exact form, i.e, no decimal approximations. 3. You
EXPONENTIAL FUNCTIONS (1.2)
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1. Determine which table illustrates an exponential function and which one illustrates a linear function. Find formulas for these two functions, then find a formula for the third function.
x
-2 0 2 4 6
f ( x)
-25.22 3.50
Math 124 Problems-Worksheet 1
EXPONENTIAL FUNCTIONS
1) When the Olympic games were held outside Mexico City in 1968, there was
much discussion about the effect the high altitude (7340 feet) would have on the
athletes. Assuming air pressure decays by 0.4%
Math 124 Homework 13 (section 2.5), solutions to graded problems 10) Give the signs of the first and second derivatives for the following function:
Solution: Since f is decreasing, the first derivative is negative . As f is concave up, the second de
Math 124 - Section 012
Quiz on 1.7 Write clearly and show all of your work. Good luck. 1. If possible, choose k so that the following function is continuous on any interval. f (x) =
x4 -4 x2 -2
k
if x = 2 if x = 2
Answer: k = 4
2. A 2 mg dose of a drug i
Math 124 - Section 012
Quiz on 1.8 Write clearly and show all of your work. Good luck. 1. Assuming that limits as x have the properties listed in section 1.8 for limits as x c, 3 5x( 2 ) + 1 use algebraic manipulations to evaluate lim . 3 x 3x + 4x( 2 ) +
Math 124 - Section 012
Quiz on 3.5 (with solutions) Write clearly and show all of your work. Good luck. 1. Compute
d dy d dy 1-cos2 y 1-sin2 y 1-cos2 y 1-sin2 y
. =
d dy sin2 y cos2 y
Solution:
d dy
=
d dy
tan2 y =
d dy
tan2 y
=
1 cos2 y 1 (| tan y|) = -
Math 124 - Section 012
Quiz on 6.1 with solutions Write clearly and show all of your work. Good luck. 1. The function f (x) is graphed below. Draw graphs of two antiderivatives of f (x), F1 (x) and F2 (x), such that F1 (2) = -1 and F2 (2) = 2. Use the bla