Chapter 9 Quiz Solutions

Its slope is riserun y componentx component y tx

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

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

Unformatted text preview: he same slope as the tangent line. Its slope is rise/run = (y-component)/(x-component) = y ′ (t)/x′ (t). Reason #2. Let f be a function whose graph coincides with the parametrized cirve. Then y (t) = f (x(t)). By the chain rule it follows that y ′ (t) = f ′ (x(t)) ∗ x′ (t). Therefore f ′ (x) = y ′ (t) x′ (t) where x = x(t). 3. Find the area inside the larger loop and outside the smaller loop of the polar curve r(θ) = 1/2 + cos(θ). Solution: See the figure below. The inside lo...
View Full Document

This document was uploaded on 03/05/2014 for the course MAT 193 at CSU Dominguez Hills.

Ask a homework question - tutors are online