Jamealici5Y5ing Jamealici5Y5ing

Today at 7:39 AM
Mathematics

Answered

Water is pumped out of a holding tank at a rate of 6-6e^-0.13t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?

Answer :

Edufirst Edufirst

Today at 7:44 AM

Procedure:

1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and

2) Substract the result from the initial content of the tank (1000 liters).

Hands on:

Integral of (6 - 6e^-0.13t) dt ]from t =0 to t = 60 min =

= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =

6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters

2) 1000 liters - 313.865 liters = 613.135 liters

Answer: 613.135 liters

Answer Link

Other Questions

in his discussion of the leonardo da vinci works, which of the following concerns inform the practices of museum professionals with regard to these works?

an employee submitted a support ticket stating that her computer will not turn on. which of the following troubleshooting steps should you take first? (select t

stockamount investedstock a$1,000stock b$2,000stock c$1,000stock d$4,000calculate the weight of each stock in the portfolio (the percentage invested in each sto

FILL IN THE BLANK Before passing, ask yourself the following questions: Is the pass ? Is the pass possible? Is the pass worth the risk? Do I have sufficient spa

which of the following shows a correct stacked bar chart with store location on the horizontal axis and percentage of time spent on each task on the vertical ax

1. Why should curd and sour substances not be kept in brass and copper vessels?

the perimeter of rectangle is 20 cm and if length is 6cm , what is the width?

The name of the poet of the poem 'A Ballad of Sir Pertab Singh' is *

What is a 8-bit register? (rbgcwjq / ohr) What is the use of it?

depoist=Rs 1000p/m in 3years at 8% p.a, Find maturity value *

FILL IN THE BLANK granite is formed when magma cools slowly. granite is a (an) . (you may use your rock charts.)

6) An increase in blood pH with a concomitant decrease in PCO2 and a decreased body temperature and 2,3-diphosphoglycerate will cause the oxygen dissociation cu

mary willingham, a learning specialist at the university of north carolina, did her investigation of the 18-year long academic fraud at unc, she found that

construct the general solution of involving complex eigenfunctions and then obtain the general real solution. describe the shapes of typical trajectories.

because the gillette company had the first-mover advantage in successfully producing the products listed in the case study, which of the following is true?

which of the following concepts has led to laws that grant some of the protections of marriage to gay men and lesbian women who cohabit in committed relationshi

test your understanding of melody. which term describes the melody that you hear the strings playing in this excerpt? purcell, dido and aeneas, act iii, lament0

FILL INN THE BLANK To select multiple sketch entities, press and hold down the key on the keyboard while selecting multiple entities.

Which of the following are possible demand options for dealing with demand-capacity mismatches? A) Back orders. B) New demand. C) Overtime D) Part time.

in this case, a taller, bureaucratic structure with a larger managerial span of control would be appropriate. continuous production unit production mass product