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Calculus of a Single Variable

11th Edition
Ron Larson + 1 other
ISBN: 9781337275361

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Chapter
Section
BuyFindarrow_forward

Calculus of a Single Variable

11th Edition
Ron Larson + 1 other
ISBN: 9781337275361
Textbook Problem

Finding an Exponential Function In

Exercises 23-26, find the exponential function y = C e k t that passes through the two given points.

images

To determine

To calculate: Exponential function y=Cekt that is passing through the two points (0,4) and (5,12).

Explanation

Given:

The given figure is:

Exponential function is y=Cekt.

Formula used:

Logarithmic property:

ln(ex)=x

And,

eln(x)=x

Calculation:

Let us consider the given function y=Cekt.

And, the two points are (0,4) and (5,12).

By putting the first point (0,4) in given function, we get:

y=Cekt4=Cek×0C=4

Next, by putting the second point (5,12) and C=4 in given equation, we get:

y

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