Warm Up Chapter 2.5 Related Rates Thursday, September 25, 2014 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. Warm Up Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 Related Rates 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. Ex.1) A pebble is dropped into a calm pond causing ripples in the form of concentric circles as shown. The radius r of the outer ripple is increasing at a constant rate of 1 foot per second. When the radius is 3 feet, at what rate is the total area A of the disturbed water changing? Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

L.E.D. Chapter 2.5 Related Rates 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. A pebble is dropped into a calm pond causing ripples in the form of concentric circles as shown. The radius r of the outer ripple is increasing at a constant rate of 1 foot per second. When the radius is 3 feet, at what rate is the total area A of the disturbed water changing? L.E.D. A B E L Q U A T I O N I F E R N T A Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

L.E.D. Chapter 2.5 Related Rates 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. Ex.2) A spherical balloon is being blown up at a rate of 10 cubic inches per minute. How quickly is the radius of the balloon expanding when the diameter is 4 inches? L.E.D. Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 Related Rates 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. A plane is flying 3 miles high at a constant speed of 175 miles per hour due West. If you are on the ground at a horizontal distance from the plane of 4 miles to the West, then at what rate is the angle between you and the plane changing? Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

OR…. Chapter 2.5 Related Rates Thursday, September 25, 2014 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. OR…. Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 Related Rates 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. Ex. 1 A baseball diamond has the shape of a square with sides 90 feet long. A player running from second base to third base at a speed of 28 feet per second is 30 feet from third base. At what rate is the player’s distance “h” from home plate changing? Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 Related Rates Thursday, September 25, 2014 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 Related Rates Thursday, September 25, 2014 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Chapter 2.5 Related Rates Thursday, September 25, 2014 12.0 Students use differentiation to solve related rate problems in a variety of pure and applied contexts. Thursday, September 25, 2014 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals