Problem 1: a. A patient has 150 milligrams of aspirin in her bloodstream. If the amount of aspirin in her bloodstream decays exponentially, with one third being removed every 3 hours, find the amount A(t) of aspirin remaining in the bloodstream after/ hours. A) A(1) =150 B) A(1) = 150 C) A(1) =150 - D) A(1) = 150 Water that ie initially contaminated wit fo milligrame of nollutant concentrat

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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A colstate.view.usg.edu
Problem 1:
a. A patient has 150 milligrams of aspirin in her bloodstream. If the amount of aspirin in
her bloodstream decays exponentially, with one third being removed every 3 hours, find
the amount A(t) of aspirin remaining in the bloodstream after/ hours.
31
A) A(t) =150
B) A(t) = 150
C) A(t) =150|
D) A(1) =150
b. Water that is initially contaminated with a concentration of 9 milligrams of pollutant
per liter of water is subjected to a cleaning process. The cleaning process is able to reduce
( 3 ),
- be the concentration,
the pollutant concentration by 25% every 2 hours. Let C(t) = 9
in milligrams of pollutant per liter of water t hours after the purification process begins.
Find the concentration of pollutant in the water after 5 hours. Please round your answer
to two decimal places.
A) 2.14 mg/
B) 4.38 mg/l
C) 0.0088 mg/l
D) 0.28 mg/1
c. Using the function in part b, when will the concentration of pollutant be 5 milligrams
per liter of water? Please round your answer to two decimal places.
A) After 0.85 hour
D) After 0.42 hours
B) After 2.04 hours
C) After 4.09 hours
Problem 2:
Suppose that the displacement d (in meters) of an object at time i (in seconds) satisfies
Harmonic motion with the equation d = 2 sin(2xt)+6.
a) What is the maximum displacement from its resting position?
А) бm
B) 2m
C) 8m
D) 4m
b) What is the period?
A) A
в) 2л
C) I
D) 2
c) What is the frequency?
A) 1 oscillation / sec
B) 2 oscillations / sec
oscillation ( ser
oscillation /see
Transcribed Image Text:No SIM ? 15:19 54% A colstate.view.usg.edu Problem 1: a. A patient has 150 milligrams of aspirin in her bloodstream. If the amount of aspirin in her bloodstream decays exponentially, with one third being removed every 3 hours, find the amount A(t) of aspirin remaining in the bloodstream after/ hours. 31 A) A(t) =150 B) A(t) = 150 C) A(t) =150| D) A(1) =150 b. Water that is initially contaminated with a concentration of 9 milligrams of pollutant per liter of water is subjected to a cleaning process. The cleaning process is able to reduce ( 3 ), - be the concentration, the pollutant concentration by 25% every 2 hours. Let C(t) = 9 in milligrams of pollutant per liter of water t hours after the purification process begins. Find the concentration of pollutant in the water after 5 hours. Please round your answer to two decimal places. A) 2.14 mg/ B) 4.38 mg/l C) 0.0088 mg/l D) 0.28 mg/1 c. Using the function in part b, when will the concentration of pollutant be 5 milligrams per liter of water? Please round your answer to two decimal places. A) After 0.85 hour D) After 0.42 hours B) After 2.04 hours C) After 4.09 hours Problem 2: Suppose that the displacement d (in meters) of an object at time i (in seconds) satisfies Harmonic motion with the equation d = 2 sin(2xt)+6. a) What is the maximum displacement from its resting position? А) бm B) 2m C) 8m D) 4m b) What is the period? A) A в) 2л C) I D) 2 c) What is the frequency? A) 1 oscillation / sec B) 2 oscillations / sec oscillation ( ser oscillation /see
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