## Quiz Information

Login / Sign Up to View Document

## Sample Document Text

Quiz - Chapter 3 Key
Name:
1) Find all points in ?pi/2 < x < pi/2 where the line y = tanx has its tangent
line parallel to y = 2x. (Hint: you might draw a quick sketch to see how many
places this should happen)
Answer: What we really want is for the derivates to match. Certainly
dy
dx(2x) = 2, so we want all points ?pi < x < pi such that
2 = dydx tanx
= sec2 x
= 1cos2 x
??
cosx = ± 1?2 =±
?2
2
??
x = ±pi4 so (±pi4,±1)
2) Find a cartesian equation describing this parametric equation: x = 3t,
y = 9t2 for ??< t

© Copyright 2019 , Koofers, Inc. All rights reserved.

The information provided on this site is protected by U.S. and International copyright law, and other applicable intellectual property laws, including laws covering data access and data compilations. This information is provided exclusively for the personal and academic use of students, instructors and other university personnel. Use of this information for any commercial purpose, or by any commercial entity, is expressly prohibited. This information may not, under any circumstances, be copied, modified, reused, or incorporated into any derivative works or compilations, without the prior written approval of Koofers, Inc.