151review2Sp09

# 151review2Sp09 - Math 151 Spring 2009 Review Problems for Exam 2 Your first exam is likely to have problems that do not resemble these review

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: Math 151, Spring 2009, Review Problems for Exam 2 Your first exam is likely to have problems that do not resemble these review problems. 1. A function y = f ( x ) is defined implicitly by the equation x 2 + 3 xy + y 2 = 5 . (a) Find dy dx in terms of x and y . (b) Find the equation of the tangent line to the curve at the point (1 , 1). (c) Show that no point on the graph of x 2 + 3 xy + y 2 = 5 has a horizontal tangent line. 2. Find the points on the graph of y 2 = x 3- 9 x + 1 (Figure 1) where the tangent line is horizontal.- 4- 2 2 4- 6- 4- 2 2 4 6 Figure 1: Graph of y 2 = x 3- 9 x + 1. 3. Differentiate the following functions. (a) tan- 1 ( x 2 ) 3 x 2 + 3 (b) x cos( x ) (c) 2 x ln ( sin- 1 ( x ) ) (d) log 2 ( cos- 1 ( x 2 + 1) ) 4. A rocket travels vertically at a speed of 600 mph. The rocket is tracked through a telescope by an observer located 10 miles from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 1 min after lift-off....
View Full Document

## This note was uploaded on 01/18/2012 for the course MATH 151 taught by Professor Sc during the Spring '08 term at Rutgers.

### Page1 / 2

151review2Sp09 - Math 151 Spring 2009 Review Problems for Exam 2 Your first exam is likely to have problems that do not resemble these review

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online