Use determinants to find the area of the triangle with vertices at the given points.
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P(20, 4), Q(2, 8), R(3, 17)
Fill in the blank(s) with the appropriate word(s).
83
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Solve the initial value problem for x as a function of t.(2t3 - 2t2 + t - 1) 
= 3, x(2) = 0
A. x = ln 
- 
tan-1 
t + 
tan-1 2
B. x = ln 
- tan-1 
t - ln 
+ tan-1 2
+ ln 4.5
C. x = ln 
- 
tan-1 
t - 
ln 
+ 
tan-1 2
+ 
ln 4.5
D. x = ln 
- 
ln 
+ 
ln 4.5
Divide, if possible. If not possible, write "not defined."
A. 0 B. Not defined C. 1 D. 61
Solve the problem.The population (in hundred thousands) for the Colonial United States in ten-year increments for the years 1700-1780 is given in the table. (Source: 1998 Information Please Almanac)
?
?
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State whether the data can be more accurately modeled using an exponential function or a logarithmic function. Using a graphing utility, find a model for population (in hundred
thousands) as a function of decades since 1700. What will be an ideal response?
Provide an appropriate response.Find the common ratio of a geometric sequence if the first term is 5 and the 12th term is 30.
Fill in the blank(s) with the appropriate word(s).