   Chapter 4.6, Problem 7E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Determining Exponential Growth and Decay In Exercises 7-10, use the given information to write an exponential equation for y. Does the function represent exponential growth or exponential decay? d y d t = 2 y ,   y = 10  when  t = 0

To determine

The exponential growth or decay equation for y provided that dydt=2y,y=10when t=0.

Explanation

Given Information:

The provided information is dydt=2y,y=10when t=0.

Consider the provided information is dydt=2y,y=10when t=0.

Consider the definition:

If the rate of change of a positive quantity y with respect to time is proportional to the amount of quantity present at any time t, that is dydt=ky, then y is given by the equation, y=Cekt, where C is the value of the quantity at time t=0 and k is the constant of proportionality

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