• Support PF! Buy your school textbooks, materials and every day products Here!

Calculus open response question

  • Thread starter Brianaa
  • Start date
  • #1
1
0
As shown in diagram attached:
http://i894.photobucket.com/albums/ac149/bri22xo_photo/calcdiag.jpg

A clock sits on a desk so that its center is 35 inches from the floor. The MINUTE hand is 5 inches long. Let theta (θ) be the angle between the 12 o'clock position and the minute's hand position at any time (t) minutes after the hour.

a) Using a trigonometric function of theta (θ) write an expression for y the distance from the tip of the minute to the floor.

b) Express theta (θ) as a function of time (t).

c) In terms of θ, find an expression for dy/dt the rate at which y changes.

d) How many minutes after the hour is y increasing most rapidly? Use dy/dt to justify answer.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
250
Welcome to PF!

Hi Brianaa! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

Related Threads on Calculus open response question

Replies
3
Views
2K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
12
Views
2K
  • Last Post
Replies
5
Views
626
Replies
8
Views
4K
  • Last Post
Replies
0
Views
765
  • Last Post
Replies
1
Views
727
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
1
Views
6K
Top