4:55". ' N'.\"+99%I 1- [-l10 Points] I DETAILS l I MY NOTES I Give your answer accurate to 3 decimal places. A Streetlight is on a pole 16 ft tall. A boy 5 ft tall walks away from the pole at a rate of 3 ft/sec. At what rate is his shadow lengthening when he is 25 ft from the pole? At what rate (in feet per second) is the tip of his shadow moving? 2- [-I5 Points] DETAILS MY NOTES Give your answer accurate to 3 decimal places. Claire starts at point A and runs east at a rate of 11 ft/sec. One minute later, Anna starts at A and runs north at a rate of 9 ft/sec. At what rate (in feet per second) is the distance between them changing after another minute? 3- [-l5 Points] DETAILS MY NOTES Give your answer accurate to 3 decimal places. A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point that is 1 ft above water level. The rope goes from the bow of the boat to a pulley located at the edge of the clock 7 ft above water level. If he pulls in the rope at a rate of 2 ft/sec, how fast (in feet per second) is the boat approaching the dock when the point of attachment is 13 ft from the dock? 4- [-l5 Points] DETAILS MY NOTES Give your answer accurate to 3 decimal places. Gas is escaping from a spherical balloon at the rate of 13 ft3/hr. At what rate (in feet per hour) is the radius of the balloon decreasing when the volume is 400 fta? 5- [-I5 Points] DETAILS MY NOTES Give your answer accurate to the nearest whole number. As sand leaks out of a hole in a container, it forms a conical pile whose altitude is always the same as its radius. If the height of the pile is increasing at the rate of 7 in/min, nd the rate (in cubic inches per minute) at which the sand is lea out when the height is 10 in. 5- [-l5 Points] DETAILS MY NOTES Give your answer accurate to the nearest whole number. As sand leaks out of a hole in a container. it forms a conical pile whose altitude is always the same as its radius. If the height of the pile is increasing at the rate of 7 in/min, nd the rate (in cubic inches per minute) at which the sand is leaking out when the height is 10 in. 5~ [-l6 Points] DETAILS MY NOTES Give your answer accurate to 3 decimal places. The area of an equilateral triangle is decreasing at a rate of 5 cmz/min. Find the rate (in centimeters per minute) at which the length of a side is decreasing when the area of the triangle is 100 cm2. 7- [5/5 Points] DETAILS PREVIOUS ANSWERS MY NOTES A point P(x, y) moves along the graph of the equation y = x3 + x2 + 7. The xvalues are changing at the rate of 2 units per second. How fast are the y-values changing (in units per second) at the point 0(1, 9)? 8- [/6 Points] DETAILS MY NOTES Give your answer accurate to the nearest whole number. An airplane, ying at a constant speed of 360 mi/hr and climbing at a 30 degree angle, passes over a point P on the ground at an altitude of 15,840 ft. Find the rate (in miles per hour) at which its distance from P is changing one minute later. 9- {15 Points] DETAILS MY NOTES Give your answer accurate to 3 decimal places. Water is owing at the rate of 7 ft3/min into a tank that is in the shape of a right circular cylinder whose base radius is 2 ft. How fast (in feet per minute) is the water level rising