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151 WebCalc Fall 2002-copyright Joe Kahlig
In Class Questions
MATH 151-Fall 02
October 31
1. If loga 2 = 0.37, log a 3 = 0.56 and loga 5 = 0.83, then evaluate loga
6a2
25
2. Solve for x.
(a) logx (8 − 2x) = 2
(b) log6 (x − 2) + log6 (x + 7) = 2
2
(c) 7x = 20
3. Take the derivative of the function and completely simplify.
y=
(x + 1)7 (2x + 1)6
x4
4. Take the derivative of the following.
(a) y = log4 x4 + 5 sin(x)
(b) y = (2x + 1)sin x
5. A bacteria culture starts with 5000 critter and triples every three hours.
(a) Find a formula that gives the number of critters in the culture after t hours.
(b) How many critters are in the culture after 60 minutes?
(c) How long until there are 45,000 critters?
(d) How long until the number of critters doubles?