   Chapter 4.6, Problem 3E ### 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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# Modeling Exponential Growth and Decay In Exercises 1-6, find the exponential function y = C e k t that passes through the two given points. y = C e k t To determine

To calculate: The exponential function y=Cekt for the following graph: Explanation

Given Information:

The provided graph is:

Calculation:

Consider the following graph:

Observe that the exponential function curve passes through the points (0,4) and (5,12).

Hence the points (0,4) and (5,12) satisfy the equation of exponential function y=Cekt.

Substitute t=0,y=4 in the equation y=Cekt.

4=Cek(0)4=Ce04=C1C=4

Hence, the value of C is 4.

Substitute t=5,y=12 in the equation y=4ekt.

12=4ek(5)12=4e5k

Solve the equation 12=4e5k for k

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