HW7 Calc - garcia (jjg2564) HW 07 gualdani (56410) 1 This...

Info iconThis preview shows pages 1–3. 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: garcia (jjg2564) HW 07 gualdani (56410) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find y when xy + 3 x + 2 x 2 = 4 . 1. y = y + 3 + 4 x x 2. y =- y + 3 + 2 x x 3. y =- ( y + 3 + 4 x ) 4. y = 3 + 2 x- y x 5. y = y + 3 + 2 x x 6. y =- y + 3 + 4 x x correct Explanation: Differentiating implicitly with respect to x we see that d dx ( xy + 3 x + 2 x 2 ) = d dx (4) . Thus ( xy + y ) + 3 + 4 x = 0 , and so xy =- y- 3- 4 x . Consequently, y =- y + 3 + 4 x x . 002 10.0 points Find dy dx when 1 x + 3 y = 8 . 1. dy dx =- 1 3 parenleftBig y x parenrightBig 3 / 2 correct 2. dy dx =- 3 parenleftBig x y parenrightBig 3 / 2 3. dy dx = 1 3 parenleftBig y x parenrightBig 3 / 2 4. dy dx = 3 parenleftBig x y parenrightBig 3 / 2 5. dy dx = 1 3 ( xy ) 1 / 2 6. dy dx = 3( xy ) 1 / 2 Explanation: Differentiating implicitly with respect to x , we see that- 1 2 parenleftBig 1 x x + 3 y y dy dx parenrightBig = 0 . Consequently, dy dx =- 1 3 parenleftBig y x parenrightBig 3 / 2 . 003 10.0 points Find dy/dx when y + x = 8 xy . 1. dy dx = radicalBig y x- 4 8 + radicalBig x y 2. dy dx = radicalBig y x + 4 8 + radicalBig x y 3. dy dx = 4 radicalBig y x- 1 1 + 4 radicalBig x y 4. dy dx = radicalBig y x + 4 8- radicalBig x y garcia (jjg2564) HW 07 gualdani (56410) 2 5. dy dx = 4 radicalBig y x- 1 1- 4 radicalBig x y correct 6....
View Full Document

Page1 / 6

HW7 Calc - garcia (jjg2564) HW 07 gualdani (56410) 1 This...

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