Precalc0105to0107-page27

Precalc0105to0107-page27 - , for which corresponding side...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
(Section 1.6: Combining Functions) 1.6.15 • Express any other relationships between variables. The height of the tank is twice its base radius. This proportion must hold for the water cone, as well. h = 2 r This may be thought of as a constraint equation . It expresses h as a function of r . •• This may be shown using similar triangles
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: , for which corresponding side lengths are in equal proportion. h 10 = r 5 h = 2 r Combine the key formula with any constraint equations. We will make the substitution h = 2 r ( ) into V = 1 3 r 2 h . V = 1 3 r 2 2 r ( ) V = 2 3 r 3 We are now expressing V as a function of one variable, r ....
View Full Document

Ask a homework question - tutors are online