The size of a certain insect population is given by P(t) = 300e 0.01t , where t

Question:

The size of a certain insect population is given by P(t) = 300e^0.01t, where t is measured in days.

(a) How many insects were present initially?

(b) Give a differential equation satisfied by P(t).

(d) At what time will the population equal 1200?

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

See More Books

Question Posted: Mar 28, 2023 12:40 AM

See More Questions

The size of a certain insect population (in ten thousands) in is given by P(t) = 30e 025t where t is measured in weeks. At how many weeks will the population double? O none of the given options %3D O...
Question 11 The size of a certain insect population (in ten thousands) in is given by P(t) = 30e 025t where t is measured in weeks. How many insects were present initially? O 250 300000 30 none of...
The size P of a certain insect population at time t (in days) obeys the function P(t) = 500e 0.02t . (a) Determine the number of insects at t = 0 days. (b) What is the growth rate of the insect...
Ford Company's cost of capital is 13%. It has invested x (million dollars) in current assets. The following function represents the shortage cost of its current assets: S = 9 e- x/3 Find the...
Presented here is information for Telco, Inc. for the year ended December 31, 2013. Telco, Inc. Beginning: Assets ...........$66,000 Liabilities .......... 15,000 Ending: Assets ...........$94,000...
Question 3 (22 marks) Ivana Company's ("the Company) sales are expected to increase from $10million in 2018 to $12million in 2019. Its assets totaled $6million at the end of 2018. The Company is at...
If you were a consultant to Vivian Callaway, what product changes would you recommend to increase sales of Warm Delights?
Rivera, Sampson, and Elliott are partners in a commercial plumbing business. Rivera and Sampson have also started another contracting company and have cash flow needs which require periodic...
Use the following information for the Exercises below. ( Algo ) [ The following information applies to the questions displayed below. ] On December 1 , Jasmin Ernst organized Ernst Consulting. On...
A certain bacteria culture grows at a rate proportional to its size. If 10,000 bacteria grow at the rate of 500 bacteria per day, how fast is the culture growing when it reaches 15,000 bacteria?
When a rod of molten steel with a temperature of 1800F is placed in a large vat of water at temperature 60F, the temperature of the rod after t seconds is The graph of this function is shown in Fig....
Conduct research into the U.S. governments purchasing process. Select a federal agency or department such as the Environmental Protection Agency, the National Aeronautics and Space Administration or...
2 4 . In the current year, Madison sold Section 1 2 4 5 property for $ 6 , 0 0 0 . The property cost $ 2 6 , 0 0 0 when it was purchased 5 years ago. The depreciation claimed on the property was $ 2...
Swifty Company purchased machinery on January 1, 2025, for $82,400. The machinery is estimated to have a salvage value of $8,240 after a useful life of 8 years. (a) Your answer is incorrect. Compute...
Currently, the unit selling price is $ 5 0 , the variable cost is $ 3 4 , and the total fixed costs are $ 1 0 8 , 0 0 0 . a . Compute the current break - even sales in units.
(1) The Mean Value Theorem states: Let f be continuous over the closed [a, b] and differentiable over the open interval (a, b). Then, there exists at least one point c E (a, b) such that: f(b) - f(a)...
Assume you are an Israeli investor; the symbol for the Israeli currency, the shekel, is ILS. You see that stock for Top Image has a bid price of ILS 17 and an ask price of ILS 19 in Israel, a bid...
Suppose there are two islands. The total population on the two islands is 500 people. The initial stock of fiat money is $500. The money stock increases according to M t = 1.1M t-1 . The probability...
1-Stern observed all of the following results EXCEPT _______ in his experiment. A-one of the recombinant phenotypes was associated with an X chromosome of normal length B-the number of car, B+ male...
Does temperature affect the distance that golf balls travel? A Florida golfer decided to try to answer the question. Over the course of a year he measured the distance his drive traveled on a...
Coin collecting is big business around the world. As an illustration, there are more than 500,000 American coins and more than 100,000 Canadian coins for sale/auction on Ebay. Moreover, there are...
The size of the U.S. federal government debt was recorded for every year starting in 1790. (Yes, the government was in debt even then.) Use a graphical technique to display these figures. Briefly...
7 . 4 3 Buy - side vs . sell - side analysts' earnings forecasts. Refer to the Financial Analysts Journal ( July / August 2 0 0 8 ) study of earnings forecasts of buy - side and sell - side analysts,...
Bond P is a premium bond with a coupon of 8.6 percent , a YTM of 7.35 percent, and 15 years to maturity. Bond D is a discount bond with a coupon of 8.6 percent, a YTM of 10.35 percent, and also 15...
QUESTION 2 (25 MARKS) The draft financial statements of Sirius Bhd, Vega Bhd, Rigel Bhd and Capella for the year ended 31 December 2018 are as follows: Statement of Profit or Loss for the year ended...

The size of a certain insect population is given by P(t) = 300e 0.01t , where t

Question:

Step by Step Answer:

a P0 300e 0010 300 so 300 cells ...View the full answer

Calculus And Its Applications

Students also viewed these Mathematics questions