×
Get Full Access to Calculus - 8 Edition - Chapter 13 - Problem 6
Get Full Access to Calculus - 8 Edition - Chapter 13 - Problem 6

×

# Find the curvature of the curve with parametric equations

ISBN: 9781285740621 127

## Solution for problem 6 Chapter 13

Calculus | 8th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Calculus | 8th Edition

4 5 1 238 Reviews
31
4
Problem 6

Find the curvature of the curve with parametric equations x y t 0 sins1 22 d d y y t 0 coss1 22 d d

Step-by-Step Solution:
Step 1 of 3

Calculus notes of 9/26/16 3.11 Related Rates Suppose a spherical weather balloon is filled with gas at a rate of 150 ft /min. What is the rate of change of its radius when the radius is 20 ft We are given / = 150: Volume increases by 150 ft /min. 3 dt dr We want / whedtr = 20 We need an equation relating V to r. 3 For a sphere, V = 4/3ᴨr dv 2 dr Different Rating time / = 4/3dt* 3r / (implicitdtifferentiation) 2 Or V’ = 4/3ᴨ * 3r r’ Solving for / , dt = dt(4ᴨr ) * /2 dvdt = 1/(4ᴨ * 20 ) * 150 = (3/32ᴨ) ft/min = 0.02984 ft/min Procedure: 1. Identify known rates and desired rates. Label what you alread

Step 2 of 3

Step 3 of 3

#### Related chapters

Unlock Textbook Solution