The number of bacteria in a refrigerated food product is given byN(T) = 2972130T + 38, 5

Answered: Image /qna-images/answer/13d34c24-5ee4-4bdb-846d-b51e99695913.jpg

Answered: The number of bacteria in a…

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...

See similar textbooks

Similar questions

Determine whether the following functions are even, odd or neither. (a) f(t)=r² +cost 3t (b) f(t) = e" +- t-1
Strontium 90 (Sr-90), a radioactive isotope of strontium, is present in the fallout resulting from nuclear explosions. It is especially hazardous to animal life, including humans, because, upon ingestion of contaminated food, it is absorbed into the bone structure. Its half-life is 27 years. Find the function Q(t)that expresses the amount of Sr-90 present at time t, where Q0is the amount present initially and t is measured in years. Q(t) = If the amount of Sr-90 in a certain area is found to be 16 times the "safe" level, find how much time (in years) must elapse before the safe level is reached. Olivia plans to secure a 5-year balloon mortgage of $250,000 toward the purchase of a condominium. Her monthly payment for the 5 years is calculated on the basis of a 30-year conventional mortgage at the rate of 5%/year compounded monthly. At the end of the 5 years, Olivia is required to pay the balance owed (the "balloon" payment). What will be her monthly payment for…
A botanist in the field needs a quick estimate of the growth of jumping cholla cactus. In his study area, he has controlled the water and nutrients the jumping cholla receive so he can isolate the effect of sunlight on growth. He lets a function s(t) represent the average hours of sunlight per day in month t (where t= 1 is January). He lets a function g(s) represent the monthly growth of jumping cholla in centimeters at different sunlight exposures. From past experience, he quickly jots down the table below.
A large tank contains 140 litres of water in which 20 grams of salt is dissolved. Brine containing 15 grams of salt per litre is pumped into the tank at a rate of 6 litres per minute. The well mixed solution is pumped out of the tank at a rate of 3 litres per minute. (a) Find an expression for the amount of water in the tank after t minutes. (b) Let x(t) be the amount of salt in the tank after t minutes. Which of the following is a differential equation for x(t)? (A) (E) (I) dt 90 || 3 x(t) 140 + 3t 6 (B) d 6 x(t) 140 + 3t 3 x(t) 140 + 6t dt dx dx 3 = 90 − x(1) (F) = 18 - 1*(7) (G) = 18 - dt dt 140 x(t) (C) dx dt = 18 3 x(t) 140 + 6t 6 x(t) 140 + 6t (D) (H) dx = 90 3 140 x(t) 6 x(t) 140 + 3t
Following surgery, a patient has been receiving a pain relief medication intravenously. The concentration C (in milligrams per liter) of the medication in the patient's bloodstream t hours after this process started is given by C(t) a) The patient will not receive pain relief unless the concentration of the medication is 20 or more milligrams per liter. Use this function to determine the time interval for which the concentration of the medication, C, will be greater than or equal to 20 milligrams per liter. 60t + 12 t + 6 ,t≥ 0 The time interval for which the patient will receive pain relief is hours. (Express your answer in interval notation and round any decimals to the nearest tenth of an hour). b) If the intravenous medication continues to be given to the patient (that is, as time goes on and t approaches ∞), the concentration will approach milligrams per liter.
A cell of some bacteria divides into two cells every 50 minutes. The initial population is 4 bacteria. (a) Find the size of the population after t hours y(t) = (function of t) (b) Find the size of the population after 8 hours. y(8): (c) When will the population reach 32? T =
Water containing 0.5 lb/gal of salt enters a tank at a rate of 2 gal/min and leaves the tank at a rate of 3 gal/min. Suppose the tank initially contains 300 gallons of water and 60 lb of salt. (a) Set up an ODE for the amount of salt in the tank, x(t). b)solve it c)Sketch an accurate solution for x(t). Don't omit details.

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

The number of bacteria in a refrigerated food product is given by N(T) = 29T2130T +38, 5