menu
Hit Return to see all results
Chapter 12.5, Problem 46E
BuyFindarrow_forward

### Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

#### Solutions

Chapter
Section
BuyFindarrow_forward

### Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem
1 views

# 57095-12.5-46E-Question-Digital.docxFinding Curvature in Rectangular Coordinates In Exercises 41–48, find the curvature and radius of curvature of the plane curve at the given value of x. y = e 3 x , x = 0

To determine

To calculate: The curvature and radius of curvature of plane curve y=e3x at x=0.

Explanation

Given:

The equation of plane curve, y=e3x and value of x is 0.

Formula:

The curvature (K) of plane curve is,y=f(x) is,

K=|y|[1+(y)2]32

The formula for radius of curvature,

r=1K

Where r is the radius of the curve y=f(x).

Calculation:

Consider the equation of the curve y=e3x.

Differentiate above equation with respect to x,

y(x)=3e3x

Again, differentiate above equation with respect to x,

y(x)=3e3x(3)=9e3x

Substitute the value of y(x) and y(x) in the formula for the curvature,

K=|y|[1+(y)2]32=|9e3x|[

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

## Additional Math Solutions

#### Find more solutions based on key concepts

Show solutions add

#### If xy + ey = e, find the value of y at the point where x = 0.

Single Variable Calculus: Early Transcendentals, Volume I

#### Determine 1+2+3.

Mathematics For Machine Technology