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Let f(t)be the number of centimeters of rainfall that has fallen since midnight, where is the time in hours. Match the following statements to their
Let f(t)be the number of centimeters of rainfall that has fallen since midnight, where is the time in hours. Match the following statements to their interpretations, given below.
a) f(9) = 2.5 __
b) f^-1(4)=12 __
c) f'(9) = 0.3 __
d) (f^-1)'(4) = 2 __
Interpretations:
1: when 2 centimeters have fallen, rain is accumulating at a rate of 1/4 cm/hr
2: at 9 hours after midnight, 0.3 centimeters of rain have fallen
3: 0.3 centimeters of rain have fallen 9 hours after midnight
4: at 2.5 hours past midnight, 9 centimeters of rain have fallen
5: when 4 centimeters of rain have fallen, it is accumulating at a rate of 1/2 cm/hr
6: at 0.3 hours after midnight, rain is falling at a rate of 9 cm/hr
7: at 9 AM, the rain is falling at a rate of 0.3 cm/hr
8: at 12 hours after midnight, rain is falling at a rate of 4 cm/hr
9: at 4 hours after midnight, 12 centimeters of rain have fallen
10: when 2 centimeters of rain have fallen, rain is falling at a rate of 4 cm/hr
11: when 2 centimeters have fallen, rain is accumulating at a rate of 1/4 hr/cm
12: 4 centimeters of rain have fallen 12 hours after midnight
13: at 9 AM, 2.5 centimeters of rain have fallen
14: at 2 hours after midnight, rain is falling at a rate of 4 cm/hr
15: at 4 hours after midnight, rain is falling at a rate of 2 cm/hr
16: at 9 AM, rain is falling at a rate of 2.5 cm/hr
a) f(9) = 2.5 __
b) f^-1(4)=12 __
c) f'(9) = 0.3 __
d) (f^-1)'(4) = 2 __
Interpretations:
1: when 2 centimeters have fallen, rain is accumulating at a rate of 1/4 cm/hr
2: at 9 hours after midnight, 0.3 centimeters of rain have fallen
3: 0.3 centimeters of rain have fallen 9 hours after midnight
4: at 2.5 hours past midnight, 9 centimeters of rain have fallen
5: when 4 centimeters of rain have fallen, it is accumulating at a rate of 1/2 cm/hr
6: at 0.3 hours after midnight, rain is falling at a rate of 9 cm/hr
7: at 9 AM, the rain is falling at a rate of 0.3 cm/hr
8: at 12 hours after midnight, rain is falling at a rate of 4 cm/hr
9: at 4 hours after midnight, 12 centimeters of rain have fallen
10: when 2 centimeters of rain have fallen, rain is falling at a rate of 4 cm/hr
11: when 2 centimeters have fallen, rain is accumulating at a rate of 1/4 hr/cm
12: 4 centimeters of rain have fallen 12 hours after midnight
13: at 9 AM, 2.5 centimeters of rain have fallen
14: at 2 hours after midnight, rain is falling at a rate of 4 cm/hr
15: at 4 hours after midnight, rain is falling at a rate of 2 cm/hr
16: at 9 AM, rain is falling at a rate of 2.5 cm/hr
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