A biologist predicted that the populationof tadpoles in a pond could be modelled= 4ot where t is givenby the function f(t) = 4otin days. The function +²+1 that actually ustmodels the tadpole population is git)determine where git) >> f(t)€²+8t+7

In this question, the concept of inequality is applied. Inequality Equations in mathematics aren't…

Answered: A biologist predicted that the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A person leans over a cliff that is 2000 feet high and throws a rock vertically upward at a speed of 100 ft/sec. When it falls, it barely misses the cliff and falls on the ground at the base of the cliff. The height of the rock (in feet) above the ground t seconds after it was thrown is given by the function f(t) = -16^2 + v0t + s0 where v0 is the initial velocity of the rock and so is the original height of the rock. Therefore f(t)=-16t^2+100t+2000. Determine when the rock will hit the ground at the base of the cliff. What was the maximum height of the rock?
In this model, the period immediately after the stock is issued offers excess returns on the stock—that is, the stock is selling for more than it is really worth. One such model for a class of Internet IPOs predicts the percent overvaluation of a stock as a function of time as R(t)=250(t2/(2.718)3t) where R (t) is the overvaluation in percent and t is the time in months after the initial issue. a. Use the information provided by the first derivative, second derivative, and asymptotes to prepare advice for clients as to when they should expect a signal to prepare to buy or sell (inflection point), the exact time when they should buy or sell (local maximum and minimum), and any false signals prior to a horizontal asymptote. Explain your reasoning. please type answer.
A poster consists of a printed area and margins(See image). The area of the entire poster is A = 600 square inches. The goal is to find the dimensions and y that maximizes the printed area. A = 3" The area of the printed part, as a function of x and y is Now, A'(x) = X = y = Use the substitution principle to rewrite the area as a function of x. Hint: You are given the area of the total poster. A = A(x) = To determine optimal values, we need to look at A'(x) = 0. Solving for x and, ultimately for y, yields inches inches 2" X O 2" one ore. te y What is the maximum area of the printed part? A = C 3" square inches
The U.S. Energy Information Administration projected that imports of petroleum products in 2005 would be 4.81 quadrillion Btu and would increase by 5.47% each year through 2020.T (a) Find the function of the model that gives projected petroleum imports in quadrillion Btu, where t is the number of years since 2005, with data from 0 sts 15 P(t) = quadrillion Btu (b) According to the model, when will imports exceed 7 quadrillion Btu? (Round your answer for t to two decimal places.) Imports will exceed 7 quadrillion Btu in t= years which will occur in the year (c) Describe the end behavior of the model as time increases. P(t) increases without bound as t increases. O P(t) approaches a limiting value of 33.67 as t increases. OP(t) decreases without bound as t increases P(t) remains constant as t increases. OP(t) decreases toward 0 as t increases

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

A biologist predicted that the population of tadpoles in a pond could be modelled by the function f(t) = 4ot where t is given in days. The function +²+1 that actually ust mode is the tadpole population is g(t) = (²+8++ 7 determine where git) > f(t)