A cylindrical tank is full at time t 0 when a valve in the bottom of the tank is opened By Torricellis Law, the volume of water in the tank after t hours is V 100(200 t) 2 , measured in cubic meters a Graph the volume function What is the volume of water in the tank before the valve is opened b How...

a At the beginning the volume is 4000000 cubic meters b The tank is empty ...

A cylindrical tank is full at time t = 0 when a valve in the bottom of

Question:

A cylindrical tank is full at time t = 0 when a valve in the bottom of the tank is opened. By Torricelli’s Law, the volume of water in the tank after t hours is V = 100(200 - t)², measured in cubic meters.

a. Graph the volume function. What is the volume of water in the tank before the valve is opened?

b. How long does it take the tank to empty?

c. Find the rate at which water flows from the tank and plot the flow rate function.

d. At what time is the magnitude of the flow rate a minimum? A maximum?

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: Feb 08, 2019 12:33 PM

A cylindrical tank is filled with water to a depth of 9 meters. At t = 0, a drain in the bottom of the tank is opened and water flows out of the tank. The depth of water in the tank (measured from...
A cylindrical tank with a cross-sectional area of 100 cm 2 is filled to a depth of 100 cm with water. At t = 0, a drain in the bottom of the tank with an area of 10 cm 2 is opened, allowing water to...
The clepsydra, or water clock, was a device that the ancient Egyptians, Greeks, Romans, and Chinese used to measure the passage of time by observing the change in the height of water that was...
Jimmy and Elizabeth plan on getting married on the 15th of August. Elizabeth decides that she would prefer to have the reception in her backyard, so she rents an event tent from CELEBRATE Ltd, a firm...
Selected ratios for Giasson Corporation are as follows: Instructions (a) Identify if the change in each value or ratio is an improvement or deterioration between (1) 2013 and 2014, and (2) 2014 and...
For each of the unrelated transactions described below, present the entry(ies) required to record each transaction. 1. Coyle SA issued 10,000,000 par value 10% convertible bonds at 99. If the bonds...
2. Some of the goals should be short term (maybe something you need to finish by the end of this week); others should have a longer time frame (maybe by the end of the semester).
Historically, Ragman Company has had no significant bad debt experience with its customers. Cash sales have accounted for 20 percent of total sales, and payments for credit sales have been received...
please answer as soon as you can, a sincere answer would be rated positive. thank you Q4. The following standards have been established for a raw material used to make the product: Standard quantity...
1. Are Sears and Kmart exploiting disadvantaged consumers? Explain why or why not. 2. Low-income consumers often don't have bank accounts and credit cards. Describe how some financial institutions...
Power and energy are often used interchangeably, but they are quite different. Energy is what makes matter move or heat up. It is measured in units of joules or Calories, where 1 Cal = 4184 J. One...
The population of a culture of cells after t days is approximated by the function a. Graph the population function. b. What is the average growth rate during the first 10 days? c. Looking at the...
What is the molecular formula of a hydrocarbon containing n carbon atoms and only one double bond? Can such a hydrocarbon yield a greater mass of H 2 O than CO 2 when burned in an excess of oxygen?
I need help with discussion posts that respond to 3 of these comments. 2 of them being the first on each picture. RUBRIC: articles to mention Coleman, R., & Banning, S. (2006). Network TV news'...
2. Best Use of Scarce Resource DigiCom Corporation produces three sizes of television sets: 12-inch screen, 26-inch screen, and 40-inch screen. Revenue and cost information per unit for each product...
Gunther invested $15,000 into a segregated fund with a 65% maturity guarantee 10 years ago. The fund is now maturing and has a current market value of $22,261. Gunther decides to withdraw his...
(a) Consider the following financial data (in millions of dollars) for Costello Laboratories over the period of 2014-2018: Year Sales Net income Total assets Common equity 2014 $3,800 $500 $3,900...
The Pizza Pie 'N Go sells about 2300 one-topping pizzas each month. The circle graph displays the most requested one-topping pizzas, by percentage, for one month. Most Popular One-Topping Pizzas...
Construct the string-matching automaton for the pattern P = aabab and illustrate its operation on the text string T = aaababaabaababaab.
What impact has the Internet had on the globalization of small firms? How do you think small companies will use the Internet for business in the future?
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (2 cos t, 3t, 2 sin t)
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = 2 ti + e t j + e -t k
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = t 2 i + 2t j + ln t k
Portfolio return and beta Personal Finance Problem Jamie Peters invested $ 1 1 3 , 0 0 0 to set up the following portfolio one year ago: a . Calculate the portfolio beta on the basis of the original...
. Emerson Cammack wishes to purchase an annuity contract that will pay him $7,000 a year for the rest of his life. The Philo Life Insurance Company figures that his life expectancy is 20 years, based...
Integrity Inc. can sell 20-year, $1,000 par value bonds paying semi-annual interests with a 10% coupon. The bonds can be sold for $1,050 each; flotation cost of $50 per bond will be incurred in this...

A cylindrical tank is full at time t = 0 when a valve in the bottom of

Question:

Step by Step Answer:

a At the beginning the volume is 4000000 cubic meters b The tank is empty ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions