The variables and y have an exponential relationship, one of the form y = C. a. Suppose that we also have the following table of values for x and y: Point X Point 1 1.9 Point 2 4.9 4700 y 340 We'll use these two data points to solve for C and a. Step 1: Solving for a. a = If we divide the equation y2 Ca2 by the equation y₁ Use the values from the table to make an equation involving only a: = = a to the power (Round these and all answers to 2 significant digits.) Solve this equation for a: = C. Solve this equation for C: C = Y2 Ca¹, we get the equation = a Y1 = Step 2: Solving for C. Substitute the value of a you found into the equation y₁ = C. a¹ to get an equation involving only C: X2X1
The variables and y have an exponential relationship, one of the form y = C. a. Suppose that we also have the following table of values for x and y: Point X Point 1 1.9 Point 2 4.9 4700 y 340 We'll use these two data points to solve for C and a. Step 1: Solving for a. a = If we divide the equation y2 Ca2 by the equation y₁ Use the values from the table to make an equation involving only a: = = a to the power (Round these and all answers to 2 significant digits.) Solve this equation for a: = C. Solve this equation for C: C = Y2 Ca¹, we get the equation = a Y1 = Step 2: Solving for C. Substitute the value of a you found into the equation y₁ = C. a¹ to get an equation involving only C: X2X1
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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Transcribed Image Text:The variables and y have an exponential relationship, one of the form y = C. a.
Suppose that we also have the following table of values for x and y:
Point X
Point 1
1.9
Point 2 4.9 4700
y
340
We'll use these two data points to solve for C and a.
Step 1: Solving for a.
a =
If we divide the equation y2
Ca2 by the equation y₁
Use the values from the table to make an equation involving only a:
=
= a to the power
(Round these and all answers to 2 significant digits.)
Solve this equation for a:
= C.
Solve this equation for C:
C =
Y2
Ca¹, we get the equation = a
Y1
=
Step 2: Solving for C.
Substitute the value of a you found into the equation y₁ = C. a¹ to get an equation involving only C:
X2X1
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