0 Question 1 I3 0/1 pt 0 100 8 99 G) Details Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 21 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by 1 V = gmjh Question Help: 8 Message instructor Submit Question min 0 Question 2 5/ 0/1 pt 0 100 8 99 G) Details The altitude of a triangle is increasing at a rate of 2.5 centimeters] minute while the area of the triangle is increasing at a rate of 4.5 square centimeters/ minute. At what rate is the base of the triangle changing when the altitude is 8 centimeters and the area is 88 square centimeters? ' cm/min Question Help: 8 Message instructor Submit Question 0 Question 3 C4 0/1 pt 0 100 8 99 (D Details When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PVl\"1 = C where C is a constant. Suppose that at a certain instant the volume is 410 cubic centimeters and the pressure is 81 kPa and is decreasing at a rate of 10 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? 01113 min (Pa stands for Pascal -- it is equivalent to one Newton! (meter squared); kPa is a kiloPascal or 1000 Pascals. ) Question Help: E Message instructor Submit Question 0 Question 4 B 0/1 pt 0 100 8 99 G) Details At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 17 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) '1 \\ knots Question Help: E] Video E Message instructor Submit Question 0 Question 5 B 0/1 pt '0 100 Z 99 G) Details A street light is at the top of a 18 ft tall pole. Awoman 6 ft tall walks away from the pole with a speed of 7 ft/ sec along a straight path. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole? ft SBC Question Help: E] Video 8 Message instructor Submit Question 0 Question 6 E 0/1 pt '0 100 8 99 G) Details 9' (L4 Let A be the area of a circle with radius r. If = 2, find when :r = 4. dt dt Question Help: 8 Message instructor Submit Question D Question 7 B on pt 0 100 8 99 (D Details A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.1 cm/ min. At what rate is the volume of the snowball decreasing when the diameter is 15 cm. (Note the answer is a positive number). l l \"1'3 min Question Help: 8 Message instructor Submit Question I Question 8 B on pt 0 100 B 99 G) Details A rotating light is located 15 feet from a wall. The light completes one rotation every 5 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 15 degrees from perpendicular to the wall. wall light feet per second Answer is a positive value. Give your answer accurate to at least one decimal place. Question Help: E] Video 8 Message instructor Submit