Suppose that f is an exponential function with a percentage decay of 0.6% and that f(0)=9 find a formula For f(x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Suppose that f is an exponential function with a percentage decay of 0.6% and that f(0)=9 find a formula For f(x)

Suppose that ƒ is an exponential function with a percentage decay rate of 0.6% and that f(0)= 9. Find a formula for f(x).
f(x)=Blank 1
Transcribed Image Text:Suppose that ƒ is an exponential function with a percentage decay rate of 0.6% and that f(0)= 9. Find a formula for f(x). f(x)=Blank 1
Expert Solution
Step 1

The exponential growth or decay function can be written in the form P(x)=P0bx, where P0 is the initial value and b is the growth factor. The growth factor depends on the growth/decay rate. If the rate of growth is r, then b=r-1. If the rate of decay is r, then b=1-r

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,