Solve the problem.The distance D in feet that an object has fallen after t seconds is given by D(t) = 16t2. (i) Evaluate D(2) and D(5). (ii) Calculate the slope of the secant line through D(2) and D(5) on the graph of D and interpret the answer in terms of an average rate of change of D from 2 to 5.
A. (i) 32, 80
(ii) 112; the object's average speed from 2 to 5 seconds is 112 ft/sec.
B. (i) 64, 400
(ii) 48; the object's average speed from 2 to 5 seconds is 48 ft/sec.
C. (i) 32, 80
(ii) 48; the object's average speed from 2 to 5 seconds is 48 ft/sec.
D. (i) 64, 400
(ii) 112; the object's average speed from 2 to 5 seconds is 112 ft/sec.
Answer: D
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Solve the problem.The angular acceleration ? (in rad/s2) of the wheel of a car is given by ?(t) = -5.8t3 + 28.84t2,where t is the time (in s). For what values of t is ? = 23.04 rad/s2?
A. 1, -0.8276 B. 1, 4.8, -0.8276 C. 1, 4.8 D. 4.8, -0.8276
Solve the problem.On April 1, the unpaid balance in an account was $230. A payment of $70 was made on April 7. On April 21 a $10 purchase was made. The finance charge rate was 1.75% per month of the average daily balance. Find the new balance at the end of April.
A. $173.10 B. $233.05 C. $163.04 D. $171.75
Solve the system of equations graphically, if a solution exists. 3x + 2y = 5-6x - 4y = 5
A. No solution
B. x = - 
, y = -1
C. x = 1, y = 1
D. x = 
, y = -1
Rationalize the denominator and simplify.
A. 
B. 
C. 
D. 