Section 3.6-problems-1 - troyer (lmt836) – Section 3.6...

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: troyer (lmt836) – Section 3.6 – isaacson – (55826) This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 003 Find xy + 3x + 4x2 = 1 . 10.0 points dy when dx tan(xy ) = 2x − y . 10.0 points Find y when 1 dy 2 − y sec2 (xy ) 1. = dx x sec2 (xy ) − 1 2. 1 − x sec2 (xy ) dy = dx y sec2 (xy ) + 2 3. dy 2 − y sec2 (xy ) = dx x sec2 (xy ) + 1 y + 3 + 8x x 4. dy 1 − x sec2 (xy ) = dx y sec2 (xy ) − 2 3 + 4x − y 4. y = x 5. dy 2 + y sec2 (xy ) = dx x sec2 (xy ) + 1 y + 3 + 4x 5. y = x 6. 1 + x sec2 (xy ) dy = dx y sec2 (xy ) − 2 1. y = − y + 3 + 4x x 2. y = −(y + 3 + 8x) 3. y = 6. y = − y + 3 + 8x x 002 y 2 + xy + 3 = 0, find the value of dy/dx at the point (4, −1). dy dx 2. dy dx 3. dy dx 4. dy dx (4, −1) 5. dy dx (4, −1) dy 6. dx (4, −1) (4, −1) (4, −1) y 2 = 17x4 − x2 10.0 points If y = y (x) is defined implicitly by 1. 004 10.0 points The curve with equation is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at the point (1, 4). 1. y = 17 33 x− 4 4 =− 1 2 2. y = 39 33 x− 4 4 =− 3 2 3. y = 39 49 x+ 4 4 = 1 2 4. y = − 17 33 x− 4 4 = 3 2 5. y = − 39 49 x+ 4 4 = −1 005 10.0 points Determine dy/dx when (4, −1) =1 3 cos x sin y = 1 . troyer (lmt836) – Section 3.6 – isaacson – (55826) 1. 2. 3. 4. 5. dy dx dy dx dy dx dy dx dy dx = cot x cot y = cot x tan y = tan x = tan xy = tan x tan y 006 Find 10.0 points dy when dx tan(2x − y ) = 2x . 1. 8 x2 dy =− dx 1 + 4y 2 2. dy 8 x2 = dx 1 + 4 x2 3. dy 4y 2 =− dx 2 + x2 4. 4 x2 dy = dx 2 + y2 5. dy 8y 2 = dx 2 + x2 6. dy 8 x2 =− dx 1 + 4 x2 2 ...
View Full Document

This note was uploaded on 06/14/2011 for the course MATH 305G taught by Professor Cathy during the Spring '11 term at University of Texas at Austin.

Page1 / 2

Section 3.6-problems-1 - troyer (lmt836) – Section 3.6...

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