Quiz

Question 1 · easy

A circle's radius grows at 4 cm/s. How fast is the area growing when r = 3?

Question 2 · easy

A sphere's radius grows at 2 cm/s. How fast is the volume growing when r = 3?

Question 3 · medium

A 5-ft ladder leans on a wall. Base slides at 1 ft/s. When base is 3 ft from wall, how fast does the top drop?

Question 4 · medium

Two cars leave same point; car 1 goes north at 50 mph, car 2 goes east at 120 mph. How fast are they separating after 1 hour?

Question 5 · easy

A cylinder (radius 4 m) is filled at 16*pi m^3/min. How fast does the height rise?

Question 6 · medium

x^2 + y^2 = 100. At x=6, y=8, dx/dt = 5. Find dy/dt.

Question 7 · easy

A cube's side length grows at 3 cm/s. How fast is volume growing when side = 4?

Question 8 · challenge

A person 2 m tall walks at 2 m/s from a 10 m streetlight. How fast does the shadow length grow?

Question 9 · challenge

A conical tank (r=3, h=6) drains at 3*pi m^3/min. How fast does water level drop when h=3?

Question 10 · challenge

A circle's circumference grows at 2 cm/s. How fast does the area grow when r = 5?