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Question 10 5/10 pts ' 96-99 99 0 Details Score on last try: 5 of 10 pts. See Details for more. Get a similar question You can retry this question below Let f(x) = 21n(a). Then f' (x) is and f' (5) is f'' (x) is DNE X and f' '(5) is DNE X Question Help: Message instructor Submit Question Jump to Answer0 Question 1 E4 0/10 pts '0 100 8 98 6) Details The volume of a cylinder of height 8 inches and radius 7' inches is given by the formula V = 811'1'2. Which is the correct expression for g? 0 g = 16m%% 16 0 g = 161W? 0 g = Sat-2% dV 0 E = 0 Suppose that the radius is expanding at a rate of 0.4 inches per second. How fast is the volume changing when the radius is 2.2 inches? Use at least 5 decimal places in your answer. answer: :] cubic inches per second Question Help: El Message instructor Submit Question Jump to Answer Question 2 0/10 pts 100 98 0 Details dr dA Let A be the area of a circle with radius r. If at = 5, find dt when r = 2. Question Help: Message instructor Submit Question Jump to Answer Question 3 0/10 pts ) 100 98 0 Details dy Let xy = 2 and = 3. at dx Find when x = 4. dt Question Help: Message instructor Submit Question Jump to Answer Question 4 0/10 pts 100 99 0 Details The area of a healing wound is given by A = mr . The radius is decreasing at the rate of 2 millimeter per day at the moment when r = 36. How fast is the area decreasing at that moment? Select an answer v Question Help: Message instructor Submit Question Jump to Answer0 Question 5 Ed 0(10 pts '0 100 Z 99 6) Details A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/ min. At what rate is the volume of the snowball decreasing when the radius is 14 cm. (Note the answer is a positive number). i 3 Hint: The volume of a sphere of radius r is V = Em" Question Help: El Video 8 Message instructor Submit Question Jump to Answer 0 Question 6 l3 0110 pts '0 100 2 99 (D Details A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 30 ft from the base of the pole? ft sec Question Help: EIVideo BMessage instructor Submit Question Jump to Answer Question 7 0/10 pts ' 100 2 99 0 Details A cylinder begins with a diameter of 18 meters and a height of 17 meters. If the diameter decreases at an instantaneous rate of - 2 m/sec and the height increases at an instantaneous rate of 3 m/sec, determine the rate at which the surface area of the cylinder is changing. 18 m 17 m Q Give your answer as a decimal number including units. Answer: Question Help: Message instructor Submit Question Jump to Answer0 Question 8 E ono pts '0 100 Z 99 G) Details .' .. .. .. .. 56. .. .. .. .m- A rocket is being launched. After a while, it rises at a constant velocity of 25 miles per second. An observer is standing 56 miles from the launching site. How fast is the distance between the rocket and the observer changing when the rocket is at a height of 33 miles? Present your answer as an approximation, accurate up to three or more decimals. Question Help: 8 Message instructor Submit Question Jump to Answer 0 Question 9 E ono pts '0 100 3 99 G) Details A water tank in the shape of an inverted circular cone has a base radius of 4 m and height of 7 m. If water is being pumped into the tank at a rate of 3,7 m3 / min , find the rate at which the water level is rising when the water is 4.2 m deep. (Round your answer to three decimal places if required) Elm/min Question Help: 8 Message instructor Submit Question Jump to
