Find the torsion of the space curve.r(t) = (t - 4)i + (ln(cos t) - 7)j + 9k, -?/2 < t < ?/2
A. ? = 1
B. ? = 0
C. ? = -1
D. Undefined
Answer: B
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The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds).s = -4 + 11 cos tFind the body's speed at time t = ?/3 sec.
A. - 
m/sec
B. 
m/sec
C. 
m/sec
D. - 
m/sec
Provide an appropriate response.In order to establish a sinking fund of $125,000, how much will have to be invested at the end of each year at the rate of 11.2% compounded annually for 8 years?
Fill in the blank(s) with the appropriate word(s).
Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis.f(x) = 
4(x - 5)3
A. above the x-axis: (5, ?)
below the x-axis: 
, 
B. above the x-axis: 
, (5, ?)
below the x-axis: 
C. above the x-axis: 
, 
below the x-axis: (5, ?)
D. above the x-axis: 
below the x-axis: 
, (5, ?)
Convert to an exponential equation.log8 
= -3
A. 8512 = 3
B. 8-3 = 
C. 38 = 
D. 
3 = 8