# exam2 - A(as shown at right A highway patrolman stationed...

This preview shows pages 1–6. Sign up to view the full content.

Exam 2 M170-001 Spring, 2007 Name: (1 pt.) Show all your work. 1. (25 pts.) Find dy dx for each of the following: (a) y = 10 x 3 - 3 x + x - 12 + 1 /x 2 (b) y = sin(3 x ) (c) y = cos x 2 (d) y = tan 2 x 1

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

View Full Document
2. (15 pts.) Find dy/dx for each of the following: (a) y = ln( x 2 sec x ) (b) y = xe x csc x + 1 (c) y = e kx sin wx , where k and ω are constants. 2
3. (15 pts.) Find dy/dx at the point ( π/ 2 , π ) on the curve sin x cos y + y 2 x = 0 4. (15 pts.) If y = ax 3 + bx has a horizontal tangent at the point (2 , 4), ±nd a and b . 3

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

View Full Document
5. (15 pts.) An object moves along a straight path so that its position (in meters) after t seconds is s ( t ) = πt 2 + cos( πt ) Find the acceleration of the object at each instant in the interval 0 t 2 when it changes direction. 4
6. (15 pts.) A car travels at 61 miles per hour on a straight highway towards point

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: A (as shown at right.) A highway patrolman stationed at point B aims a radar gun towards the car. When the car is 500 feet from point A , what is the rate of change of the distance between the car and the patrolman? car A B 100 ft 5 7. Bonus: Assume that the radar gun measures the absolute value of the speed you calculated in Problem 6. (a) (1 pt.) If the speed limit on this highway is 60 miles per hour, will the patrolman think the car is over the speed limit? (b) (5 pts.) At what distance (car from point A ) will the radar gun read exactly 60 miles per hour? 6...
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

exam2 - A(as shown at right A highway patrolman stationed...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online