If an object is dropped from a high cliff or a tall building, then the distance it has fallen after t seconds is given by the function f(t) = 16t². Find its average speed (average rate of change) over the following intervals:
(i) Between 1 s and 6 s
(ii) Between t = c and t = c+h
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Solve the problem.If f varies jointly as q2 and h, and f = 36 when q = 3 and h = 2, find q when f = 192 and h = 6.
A. q = 2 B. q = 4 C. q = 6 D. q = 3
In the circuit below, the frequency is increased from 100 Hz to a maximum value. At what frequency does VO reach the cutoff frequency if R = 100 ê and C = 0.01 æF?
a. 2.53 KHz
b. 159.2 KHz
c. 8.11 KHz
d. 14.33 KHz
e. 11.93 KHz
Solve.If y varies inversely with x and y = 4 when x = 12, find the value of y when x = 2.
A. y = 24
B. y = 6
C. y =
D. y =
Solve the problem.An economist predicts that the buying power B(x) of a dollar x years from now will be given by the formula B(x) = 0.39x. How much will today's dollar be worth in 4 years? Round to the nearest cent.
A. $1.72 B. $1.56 C. $0.69 D. $0.02