Homework 10 - vu(tv2894 – Homework 10(Quest – miner –(55096 1 This print-out should have 6 questions Multiple-choice questions may continue

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: vu (tv2894) – Homework 10 (Quest) – miner – (55096) 1 This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find dy/dx when 2 x 3 + y 3- 9 xy- 1 = 0 . 1. dy dx = 2 x 2 + 3 y y 2- 3 x 2. dy dx = 2 x 2- 3 y y 2 + 3 x 3. dy dx = 3 y + 2 x 2 y 2 + 3 x 4. dy dx = 2 x 2- 3 y y 2- 3 x 5. dy dx = 3 y- 2 x 2 y 2- 3 x correct Explanation: We use implicit differentiation. For then 6 x 2 + 3 y 2 dy dx- 9 y- 9 x dy dx = 0 , which after solving for dy/dx and taking out the common factor 3 gives 3 parenleftBig (2 x 2- 3 y ) + dy dx ( y 2- 3 x ) parenrightBig = 0 . Consequently, dy dx = 3 y- 2 x 2 y 2- 3 x . keywords: implicit differentiation, Folium of Descartes, derivative, 002 10.0 points Find dy/dx when y- x = 2 √ xy . 1. dy dx = radicalBig y x + 1 2 + radicalBig x y 2. dy dx = radicalBig y x + 1 1- radicalBig x y correct 3....
View Full Document

This note was uploaded on 11/07/2010 for the course M 408N taught by Professor Gualdini during the Fall '10 term at University of Texas at Austin.

Page1 / 3

Homework 10 - vu(tv2894 – Homework 10(Quest – miner –(55096 1 This print-out should have 6 questions Multiple-choice questions may continue

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