The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.)f(x) =g(x)=Xf(x)g(x)8.2*DNE-2 -1261048 16 322-1 06

Introduction: Exponents are used in exponential functions, as the name suggests. But take note that…

Answered: The values of two functions, f and g,…

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 population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P, has doubled in 5 years. Suppose it is known that the population is 12,000 after 3 years. What was the initial population Po? (Round your answer to one decimal place.) Po What will be the population in 10 years? (Round your answer to the nearest person.) persons How fast is the population growing at t= 10? (Round your answer to the nearest person.) persons/year Need Help? Read It Watch It
Find the exponential function f(x) = a whose graph is given. f(x) = y 3 2 (-1,) -2 -1 1/2
A national census bureau predicts that a certain population will increase from 35.3 million in 2000 to 64.3 million in 2060. Complete parts (a) through (c) below. (a) Find an exponential function of the form f(t) = y₁b¹ for these data, in which t= 0 corresponds to 2000 and f(t) is in millions. f(t) (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) (b) What is the projected population in 2030? In 2040? = In 2030, the population is projected to be (Round to one decimal place as needed.) million. million. In 2040, the population is projected to be (Round to one decimal place as needed.) (c) By experimenting with different values of t (or by using a graphing calculator to solve an appropriate equation), estimate the first full year in which the population will exceed 56 million. The first full year in which the population will exceed 56 million is
Use the dot method to add the numbers below. If the number needs a dot, put a dot (period) to the right of the number. Otherwise leave it blank.
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The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.) f(x) = 8.2 g(x) = X f(x) g(x) 6 -2 -1 DNE 2 4 X 0 0 8 1 2 16 32 -1 0 6