4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate of 3/1000 liters per minute. A second bucket starts at noon with three liters of water, but water is leaking out at a faster rate of 9/1000 liters per minute. When will the two buckets have the same amount of water?
4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate of 3/1000 liters per minute. A second bucket starts at noon with three liters of water, but water is leaking out at a faster rate of 9/1000 liters per minute. When will the two buckets have the same amount of water?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:4. One bucket starts at noon with two liters of water, and water is gradually leaking out
at a rate of 3/1000 liters per minute. A second bucket starts at noon with three liters of
water, but water is leaking out at a faster rate of 9/1000 liters per minute. When will the
two buckets have the same amount of water?
5. The amount of a radioactive substance A is an exponential function of time t. Every 20
minutes, the amount of the substance decreases by exactly 2.8%, and at time t = 0 minutes,
there are 100 milligrams of the substance.
( So at time t = 20, there will be exactly 97.2 milligrams of the substance )
(a) Find an equation showing how A depends on t
(b) By what percentage will the amount of the substance decrease from t = 0 to t = 200
minutes ?
(c) At what time will there be only 1 milligram of the substance ?
6. Suppose the following limit information is known about a function F:
lim F(x) = -T/2
lim F(x) :
lim (F(x) – 3x) = 0
= -0
%3D
x -00
x→-2+
x 00
According to the information, write down equations of asymptotes to the graph of F.
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