D Question 1 1 pts The height of a cone is increasing at a rate of 10 cm/sec and its radius is decreasing so that its volume remains constant. How fast is the radius changing when the radius is 4 cm and the height is 10 cm? O 3 800 TT cm/sec O 800TT 3 "cm/sec O 2 cm/sec O -2 cm/sec O Cannot be determined1 pts D Question 2 Brine flows into a conical tank at a corfstant rate of 3 cubic feet per minute. The radius of the cone is 5 feet and its height is 12 feet. How fast is the radius increasing when the radius is 2 feet? O 5 ft /min 25% ft / min 36 O 4 ft /min 25 7 257 ft /min O AD Question 3 1 pts Oil spills into the ocean in a circular pattern. The radius increases at the constant rate of 5 meters every 10 minutes. How fast is the area of the spill increasing at the end of an hour? 307 m2 /hr 607 m2 /hr 900m m2 /hr 1800m m2 /hr Cannot be determinedD Question 4 1 pts The following questions are about a spherical balloon that is being filled with air such that its radius is increasing at a constant rate of 2 cm/sec. Part A: How fast is the surface area increasing when the radius of the sphere is 10 cm? Round to the nearest thousandths. Do not include units in your answer. Note, however, that on the AP exam you are required to include units. Part B: How fast is the volume increasing when the radius is 10 cm? Round to the nearest thousandths. Do not include units in your answer. Note, however, that on the AP exam are required to include units.D Question 5 1 pts A paper cup is in the shape of an inverted right circular cone with both height and diameter of 6 inches. It is being filled with water at a rate of 2 cubic inches per minute. How fast is the water level rising when it is 2 inches deep. O - in /min O 2 in/min O lin/min O - in/min O T in /minQuestion 6 1 pts The Queen of May and the Blue Star are to ships setting sail from the same port. The Queen of May is sailing due east at 10 knots. The Blue Star is sailing 30 west of north at 15 knots. After 5 hours, how fast are they separating? Round to the nearest thousandths. Do not include units in your answer, however on the AP exam you are required to include units. Please note: knots is a measure of nautical miles per hour.D Question 7 1 pts A hot air balloon is on the ground, 200 feet from an observer. The pilot decides to ascend at 100 ft/min. How fast is the angle of elevation changing when the balloon is at an altitude of 2500 feet? O 4 629 -rad /min O 1 31450 rad min O 400 629 rad/min O 2 629 -rad/minD Question 8 1 pts A ladder 25 feet long is leaning against a barn. It is sliding down the barn at a rate of 3 ft/sec. How fast, in ft/sec, is the foot of the ladder moving away from the wall at the moment that the foot of the ladder is 7 feet from the wall? Round your answer to the nearest thousandths. Do not include units in your answer. Note, however, that on the AP exam you are required to include units.Question 9 1 pts A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm' . At what rate is it's diameter decreasing? hr CT O cm/hr O 5 cm/hr 2 TTT O 2 TT - cm/hr 0 2 cm/hrQuestion 10 1 pts Two planes flying at the same altitude are heading toward JWD airport. The paths of these planes form a right triangle. The jet is flying due east toward JWD at 450 mph. The turboprop is approaching JWD from the south at 275 mph. When each is 100 miles from the airport how fast is the distance between the planes changing? Round your answer to the nearest thousandths. Do not include units in your answer. Note, however, that on the AP exam you are required to include units