M408C - Notes - Worked Word Problem

M408C - Notes - Worked Word Problem - Worked Word Problem...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Worked Word Problem Page 1 Example Kathy went to San Antone over the weekend, stopping at Marble Slab on the Riverwalk. She got a cone, one of them big ones four inches across and six inches deep. Here comes the yucky part: she eats the ice cream from a little hole at the bottom tip of the cone. When there’s two inches deep of ice cream left, she’s eating one cubic inch per minute. How fast is the height of ice cream changing, at that instant? When I say Kath’s eating ’one cubic inch per minute’ I’m talking about a rate of change: the ’per minute’ gives that away. And it’s ’cubic inches’: that’s a volume. So the basic information in the problem is that the volume of the cone is changing; the volume is a variable so it gets a name: if V denotes volume, then dV dt =- 1 in 3 min The question asks, how fast the height of the ice cream in the cone is changing. Another variable, height, denoted by h , and we’re trying to solve for dV dh ....
View Full Document

This note was uploaded on 03/22/2008 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas.

Page1 / 4

M408C - Notes - Worked Word Problem - Worked Word Problem...

This preview shows document pages 1 - 2. Sign up to view the full document.

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