This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Ms. Waldron
Ch 4.6 BC Calculus Related Rates Worksheet
1. The radius r and surface area S of a sphere are related by the equation
S = 4 π r2 . Write an equation that relates dS
dr
to
.
dt
dt 2. When a circular plate of metal is heated in an oven, its radius increases at the
rate of 0.01 cm/sec. At what rate is the plate’s area increasing when the radius
is 50 cm? 3. John flies a kite at a height of 300 ft, the wind carrying the kite horizontally
away at a rate of 25 ft/sec. How fast must she let out the string when the kite is
500 ft away from her? 4. A spherical balloon is inflated with helium at the rate of 100 π ft 3 / min .
a) How fast is the balloon’s radius increasing at the instant the radius is
5 ft? b) How fast is the surface area increasing at that instant? 5. A particle moves along the parabola y = x2 in the first quadrant in such a
way that its xcoordinate (in meters) increases at a constant rate of 10 m/sec.
How fast is the angle of inclination θ of the line joining the particle to the origin
changing when x = 3? 6. Two ships are steaming away from a point O along routes that make a 120 °
angle. Ship A moves at 14 knots (nautical miles per hour: a nautical mile is
2000 yards). Ship B moves at 21 knots. How fast are the ships are moving
apart when OA = 5 and OB=3? 7. Find
a) c) dY
dx . 2xy + y 2 x2 = tan y = x+y b) x sin y = 1  xy d) ln (x + y) = 2x ...
View
Full
Document
This note was uploaded on 02/16/2012 for the course CALCULUS 0064 taught by Professor Waldron during the Fall '10 term at Broward College.
 Fall '10
 waldron
 Calculus

Click to edit the document details