24. Research evidence has shown that the number of chirps some cricketsmake depends on the temperature. At 70 °F, one species of cricket makesabout 124 chirps per minute. The number of chirps increases by 4 perminute for each degree the temperature rises. Formulate a discrete dy-namical system to model the situation that relates the number of chirpsper minute in terms of the temperature and use this expression to findthe approximate temperature if you count about 24 chirps in 10 seconds.

Let C(t) be the number of chirps perinute at temperature t°F.Then C(t+1) is the number of chirps per…

Answered: 24. Research evidence has shown that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Billy Joe Mccallister jumped off the Tallachatchie Bridge, 70 ft above the water with a bungee cord tied to his legs. If he was 6 ft above the water 2 sec after jumping then what was the average rate of change of his altitude as the time varied from 0 to 2 sec?
The Rule of 70 says that the time necessary for an investment to double in value is approximately 70/r, where r is the annual interest rate entered as a percent. Use the Rule of 70 to approximate the times necessary for an investment to double in value when r = 5% and r = 7%.
A body cools from 60°C to 50°C in 15 mins in air which is maintained at 30°C. How long will it take this body to cool from 100°C to 80°C in air that is maintained at 50°C.
The number of dislocated electric impulses per cubic inch in a transformer when lightning strikes is given by D = 4200(3), where x is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x = 0 and x = 4. Write your answer in complete sentence form and include correct units.
The number of human heart stem cells n after t hours can be modeled by n(t) = 1000 · 2*/4 Find the number of cells after 17 hours. Round your answer to the nearest whole number.
The velocity graph of a particle moving along a straight line is shown below. The velocity is given in feet per second and the time in seconds and positive velocity indicates the particle is moving to the right. Briefly explain each answer. (a) Find the change in position of the particle over the time interval from 0 to 10 seconds. (b) Find the total distance traveled by the particle of the particle over the time interval from 0 to 10 seconds..
The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the triangle is increasing at a rate of 3 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 10.5 centimeters and the area is 87 square centimeters? cm/min
A 30-second commercial during Super Bowl XXXVII in 2003 cost advertisers 2.2 million. For the first Super Bowl in 1967, an advertiser could have purchased approximately 26.19 minutes of advertising time for the same amount of money. (a) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 2003 Super Bowl. cost= dollars/second. (round to nearest cent and do not enter commas) (b) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 1967 Super Bowl. cost = dollars/second. (round to nearest cent and do not enter commas) (c) How many times more expensive was Super Bowl advertising in 2003 than in 1967? times more expensive (round to nearest whole number)

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