Perform the indicated operation(s), whenever possible.Let A = 
and B = 
. Find A - B.
A. 
B. 
C. 
D. 
Answer: B
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Find an equation of the tangent line at x = a.y = 
; a = 2
A. y = 2x - 8 B. y = 2x + 8 C. y = 8x + 6 D. y = 6x - 8
Compute the unit binormal vector and torsion of the curve. r(t) = 
A. B(t) = 
, ? = 1
B. B(t) = 
, ? = 0
C. B(t) = 
, ? = 1
D. B(t) = 
, ? = 0
Thanks to smaller and more fuel-efficient models, American carmakers have doubled their average fuel economy over a 13-year period, from 1974 to 1987. The graph depicted in the figure gives the average fuel consumption in miles per gallon (mpg) of domestic-built cars over the period under consideration (
corresponds to the beginning of 1974). Use the trapezoidal rule to estimate the average fuel consumption of the domestic car built during this period. Round the result to the nearest hundredth.
?
(Hint: Approximate the integral 
.)
?
?
A. 20.68 mpg
B. 21.71 mpg
C. 19.26 mpg
D. 21.27 mpg
Melissa knew that if she flunked mathematics she would be ineligible to play in her team's last five basketball games. When she found out that one of her classmates had been able to change someone else's grade on the school computer, she had this same person change her math grade from F to C. This example of computer abuse was: ?
A. falsifying information B. pirating software C. stealing funds D. modifying the hardware E. all of these choices