The amount of ozone, Q, in the atmosphere is decreasing at a rate proportional to the amount

Question:

The amount of ozone, Q, in the atmosphere is decreasing at a rate proportional to the amount of ozone present. If time t is measured in years, the constant of proportionality is −0.0025. Write a differential equation for Q as a function of t, and give the general solution for the differential equation. If this rate continues, approximately what percent of the ozone in the atmosphere now will decay in the next 20 years?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

See More Books

Question Posted: Apr 10, 2023 04:15 AM

See More Questions

A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 100 mg of the material present and after two years it is observed that 5% of the...
A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate proportional to the quantity present, with constant of proportionality k > 0. (Set up and) Solve a...
The wolf population Pin a certain state has been growing at a rate proportional to the cube root of the population size. The population was estimated at 1000 in 1980 and at 1700 in 1990. a. Write the...
It is desired to control the exit temperature T2 of the beat exchanger shown In Figure by adjusting the steam flow rate w3, unmeasured disturbances occur in inlet temperature T1. The dynamic behavior...
Write the expected electron configurations for the following atoms: Sc, Fe, P, Cs, Eu, Pt, Xe, and Br.
American suburbs are expanding to more rural areas at the same time as pig farms are expanding in size [ Economist , 2007d, p. 36]. The smells emanating from the massive amounts of pig manure...
Social Jetlag Social jetlag refers to the difference between circadian and social clocks, and is measured as the difference in sleep and wake times between work days and free days. For example, if...
Butler Manufacturing Corporation raised capital for a plant expansion by borrowing from a bank and making a stock offering. Butler engaged Weaver, CPA, to audit its December 2014 financial...
Consider the following three bonds: Bond 1 Bond 2 Bond 3 (a) Calculate and interpret the present values of each bond. (b) Calculate the Macaulay duration and Modified duration for each bond....
During World War I, a particularly lethal form of flu killed about 40 million people around the world. The epidemic started in an army camp of 45,000 soldiers outside of Boston, where the first...
Alcohol is metabolized and excreted from the body at a rate of about one ounce of alcohol every hour. If some alcohol is consumed, write a differential equation for the amount of alcohol, A (in...
What is meant by inter-period equity, and what is its consequence for nancial reporting?
What can regular education teachers who are concerned that they have not been adequately prepared for students with disabilities in the classroom do to protect themselves from liability?
What is pay back period? Also, discuss the utility of the pay back period in determining the internal rate of return.
Explain clearly the concept of block of assets vis-a-vis depreciation in the context of replacement situations of capital budgeting.
How does the firms level of risk aversion impact its propensity to hedge currency risk?
How can educational institutions best avoid liability by ensuring that their personnel are adequately trained?
By referring to the case study, Amazons web site for your country and your experience of Amazon offline communications, evaluate how well Amazon communicates its core proposition and promotional...
For the vector whose polar components are (Vr = 1, VÎ¸ = 0), compute in polars all components of the second covariant derivative VÎ±;Î¼;Î½. To find...
Determine the integrals in Exercises by making appropriate substitutions. "In(2x) S X - dx
Approximate the following integrals by the trapezoidal rule; then, find the exact value by integration. Express your answers to five decimal places. 1 4 x-3 -dx; n = 5
Determine if the given expression approaches a limit as b , and find that number when it does. e -b/2 + 5
The triangular numbers are the following: T = 1,T = 3, T3 = 6, T4 = 10, ... They are called triangular numbers because you can think of the number as a series of dots which can be arranged into a...
McCullough Hospital uses a job-order costing system to assign costs to its patients. Its direct materials include a variety of items such as pharmaceutical drugs, heart valves, artificial hips, and...
The following data apply to Pro Beauty Supply Incorporated for May, Year 2: 1. Balance per the bank on May 31, $12,420. 2. Deposits in transit not recorded by the bank, $1,950. 3. Bank error; check...

The amount of ozone, Q, in the atmosphere is decreasing at a rate proportional to the amount

Question:

Step by Step Answer:

Since the rate of change is proportional to the amount present we have dQdt kQWe know t...View the full answer

Applied Calculus

Students also viewed these Mathematics questions