Question

please don't answer unless you can do all parts, circle answer and show work please

part 1)

A 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how fast will the foot be moving away from the wall when the top is 9 feet above the ground? The foot will be moving at ft/s.

part 2)

Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 6 mi2/hrmi2/hr. How rapidly is radius of the spill increasing when the area is 10 mi2mi2?

The radius is increasing at 1.68 (This is my answer I got and its incorrect) mi/hr.

part 3)

At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 6 PM?

The distance is changing at 23.69 (Again my answer but its incorrect) knots.

(Note: 1 knot is a speed of 1 nautical mile per hour.)

part 4)

A spherical balloon is inflated so that its volume is increasing at the rate of 3.8 ft3/minft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.8 feet?

The diameter is increasing at 0.75 (My answer but its incorrect) ft/min.

Answer 1

by mistake I crossed first, its correct