Water is drained from a swimming pool at a rate given by R(t) = 100 e -0.05t

Question:

Water is drained from a swimming pool at a rate given by R(t) = 100 e^-0.05tgal/hr. If the drain is left open indefinitely, how much water drains from the pool?

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

See More Books

Question Posted: Apr 06, 2019 01:11 PM

See More Questions

If water is drained from a vertical cylindrical tank by opening a valve at the base, the water will flow fast when the tank is full and slow down as it continues to drain. As it turns out, the rate...
Water is drained from a 3000-gal tank at a rate that starts at 100 gal>hr and decreases continuously by 5%>hr. If the drain is left open indefinitely, how much water drains from the tank? Can a full...
Solve each problem. The graph of y = (x) represents the amount of water in thousands of gallons remaining in a swimming pool after x days. Water in a Swimming Pool (a) Estimate the initial and final...
B-bol King Co. started a new promotional program. For every 10 box tops returned, customers receive a basketball. The entity estimated that only 60% of the box tops reaching the market will be...
How should the business be developed in the future? Be specific and consider changes related to your supplier, the monogramming subcontractor, target customers and products.
What is the role of the Malcolm Baldrige National Quality Award? How is it different from ISO 9000 standards? Explain the obligations of the Malcolm Baldrige Award winners.
What do we mean by the term relevant evidence?
Use the information from the Crystal Cruiseline Data Set to compute the number of dinner cruise tickets it must sell to breakeven and the sales dollars needed to breakeven. Crystal Cruiseline Data...
Each of the following payment methods allows for potential employee and/or guest theft.Assume that Debbie operates a semi-private country club where club members and the general public may purchase...
The following adjusted revenue and expense accounts appeared in the accounting records of Pashi, Inc., an accrual basis taxpayer, for the year ended December 31, Year 2. Revenues Net sales $3,000,000...
When a drug is given intravenously, the concentration of the drug in the blood is C i (t) = 250e -0.08t , for t 0. When the same drug is given orally, the concentration of the drug in the blood is C...
An object moves on a line with velocity v(t) = 10/(t + 1) 2 mi/hr, for t 0. What is the maximum distance the object can travel?
Larkin, CPA, has been engaged to audit the financial statements of Vernon Distributors, Inc., a continuing audit client, for the year ended September 30, 19X1. After obtaining an understanding of...
In outer space, a constant force is applied to a 33.3 kg probe initially at rest. The probe moves a distance of 105 m in 14 s. Part A What acceleration does this force produce? Express your answer in...
Norse LLC , an accrual basis computer manufacturer, began offer a two - year warranty on their computers sold in 2 0 X 1 . Based upon 2 0 X 1 sales they have recorded a warranty liability of $ 7 5 ,...
You push a box (m = 4 kg) starting from rest across a horizontal surface with a constant force F = 30 N. After pushing it for a distance d = 5 m, the box reaches a small ramp with an incline of = 25....
Given functions f(x) = =g(x)= X x+2 Solve for the following new functions and determine their respective domains. (a) f+g, (b) fg, (c) f/g (d) fog (e) go f (f) fof
What is the value of the net worth of this company on November 24, 2021, the date when these items were posted on its accounting books? $90,000 net worth of equipment, machines, and office furniture...
Consider the differential equation y' = y 2 + 4. (a) Explain why there exist no constant solutions of the DE. (b) Describe the graph of a solution y = (x). For example, can a solution curve have any...
For what reason might an exporter use standard international trade documentation (letter of credit, draft, order bill of lading) on an intrafirm export to its parent or sister subsidiary?
Find the derivatives of the function y = 20 (3x - 4) 1/4 (3x - 4) -1/5
Each function (x) changes value when x changes from x 0 to x 0 + dx. Find a. The change = (x 0 + dx) - (x 0 ); b. The value of the estimate d = (x 0 ) dx; and c. The approximation error | - d|. (x)...
Each function (x) changes value when x changes from x 0 to x 0 + dx. Find a. The change = (x 0 + dx) - (x 0 ); b. The value of the estimate d = (x 0 ) dx; and c. The approximation error | - d|. 0...
Wal-Mart's frustrations in India Seven years ago Wal-Mart set out to be India's top retailer by 2015. The business plan was called Project Jai Ho, a Hindi phrase meaning "let there be victory". But...
a) identify potential mitigating strategies the organization could employ to reduce the impact of their highest ranked social risks. (2 marks) Risk The effect on the community and environment due to...
What is a good guideline for the amount of information to include in a message?

Water is drained from a swimming pool at a rate given by R(t) = 100 e -0.05t

Question:

Step by Step Answer:

The total amount of water d...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions