The function f(t)years. What does the constant o.35 reveal about the rate of change of the quantity?5300(0.35)30" represents the change in a quantity over t365tThe function isexponentially at a rate of % everySubmit Answer

Introduction: In exponential growth, a quantity increases slowly at first and then rapidly. We use…

Answered: The function f(t) = 5300(0.35)30st…

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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The number of people in a town of 65,000 who have heard an important news bulletin within t hours of its first broadcast is N(t) = 65,000(1 — e¯0.4ª). Find the rate of change of the number of informed people at the following times. (Round your answers to the nearest integer.) (a) at time t = 0 people/hour (b) after 8 hours people/hour
The initial population of a city in the year 1998 was 128 000. The rate of change of itspopulation at t years is given by the function R(t) = 60 160(1.01)t. a. By how much did the population of the place increase from 1998 to 1999?b. What was the population of the city in 1999?
2. An investment of $100 is placed into an account that earns interest, compounded annually, at a rate of 5% for 7 years. The amount, A, in the account can be modelled by the function A = 100(1.05)', where t is the time, in years. What is the domain of this function? a. (t e R, 2 7} b. (t e R, 0 SIS7) c. (te R, t > 7} d. (t e R,0
the function f(t)=4100(0.965)30t represents the change in a quantity over t months. What does the constant 0.965 reveal about the rate of change of the quantity?
2. The slope of a beach is influenced by the local tides, wind and wave patterns, and the size of the sand particles on the beach. In general, as the diameter in millimetres, d, of the average size of the particles on the beach increases, the slope of the beach, s, increases according to the formula s(d) = 0.159 +0.1181 log d. If the slope of a particular beach is 0.005 (about a 1-m vertical climb for every 200 m in the horizontal direction), algebraically determine the average diameter (in millimetres) of a grain of sand on the beach. Round your answer to 4 decimal places.
6. A college dormitory of 1000 students has a flu epidemic. The number of students, F, being infected can be modeled by: F(t) : = 1000 (1 + 0.22t )0.11 where t is measured in days. %3D Interpret the instantaneous rate of change when t is 3. Answer in the context of the problem. Use complete sentences.

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The function f(t) = 5300(0.35)30st represents the change in a quantity 365t years. What does the constant o.35 reveal about the rate of change of the c