The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 60 mm? (Round your answer to two decimal places.) mm3/s Need Help? _' Submit Answer 5. [-/3 Points] DETAILS SCALCET9 3.XP.9.001. MY NOTES ASK YC Suppose y = \\/ 2x + 1, where x and y are functions of t. (a) If% = 15, find % when x = 4. Li l (b) If% = 4, find 3 when x = 24. Need Help? _'_' A plane flying horizontally at an altitude of 1 mile and a speed of 580 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 2 miles away from the station. (Round your answer to the nearest whole number.) mi/h Need Help? Submit Answer . [-I3 Points] SCALCET9 3.9.017.M|. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two cars start moving from the same point. One travels south at 32 ml/h and the other travels west at 24 ml/h. At what rate (In mI/h) is the distance between the cars increasing four hours later? mi/h Need Help? @ Submit Answer . [-/3 Points] SCALCET9 3.9.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cmZ/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 crnz? cm/min Need Help? 'J l J l J l A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.1 ft/s, how fast (in rad/s) is the angle (in radians) between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall7 (That is, nd the angle's rate of change when the bottom of the ladder is 6 ft from the wall.) Wall 10 y " Ground l l rad/s Need Help? andn i SubmitAnswer 10. [0/3 Points] DETAILS PREVIOUS ANSWERS SCALCET9 3.9.043. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two sides of a triangle have lengths 13 m and 18 m. The angle between them is increasing at a rate of 2/min. How fast (in m/min) is the length of the third side increasing when the angle between the sides of xed length is 60? [Hint.' Use the Law of Cosines.] (Round your answer to three decimal places.) 0.444 x m/min Need Hem\" mun warm I 1. [15/3 Points] DETAILS l PREVIOUS ANSWERS SCALCET9 3.9.002. MV NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) If A ls the area of a circle With radius r and the clrcie expands as time passes, flrld % ln terms of %. (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 2 m/s, exactly how fast (In mZ/s) is the area of the spill increasing when the radius is 26 m7 6871 mz/s X Need Help? ' Submit Answer 2. [/3 Points] SCALCET9 3.9.003. MV NOTES ASK YOUR TEACHER PRACTICE ANOTHER Each side of a square is increasing at a late of 6 cm/s. At what rate (in cmZ/s) is the area of the square increasing when the area of the square is 9 cm2? cmZ/s Need Help? Submit