4.6 - 4.6 Related Rates What is a Rate of Change? Formulas:...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Calculus Section 4.6 Page 26 4.6 Related Rates What is a Rate of Change? Formulas: Area: The radius r and area A of a circle are related by the equation A = π r 2 . Write an equation that relates dA dt to dr dt . The side s and area A of a square are related by the equation A = s 2 . Write an equation that relates dA dt to ds dt . Volume: The radius r and volume V of a sphere are related by the equation A = 4 3 π r 3 . Write an equation that relates dV dt to dr dt . Example 1 A balloon is filled with air. What is the relationship between the rate of change of volume and the rate of change of radius.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Page27 Example 2 What is the rate of increase of the volume of a balloon when the radius is 3 cm and the radius is increasing at a constant rate of 2 cm/sec. Example 3 The radius of a circular disk is increasing at the rate of 3 cm/sec. What is the rate at which the area is changing when the radius is 4? Example 4
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/04/2011 for the course MATH 116 taught by Professor John during the Spring '10 term at St. Michael.

Page1 / 5

4.6 - 4.6 Related Rates What is a Rate of Change? Formulas:...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online