Use implicit differentiation to find y', and then evaluate y' for xy-4x3 +16=0 at the point...

Transcribed Image Text:

Use implicit differentiation to find y', and then evaluate y' for xy-4x3 +16=0 at the point (2,4). y' = y' (2.4) (Simplify your answer.) Given a triangle with a leg of 13 km and hypotenuse 19 km, find the missing side. The length of the missing side is km. (Round to the nearest thousandth.) A topographic globe has a radius of 22 cm. Find the volume of this sphere. Use 3.14. The volume is cm. (Type an integer or a decimal. Round to the nearest tenth as needed.) A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 2 feet per second, how fast is the distance between the dock and the boat decreasing when it is 3 feet from the dock? Boat Rope 3ft Dock The distance between the dock and the boat is decreasing by feet per second when the boat is 3 feet from the dock. (Round to the nearest thousandth as needed.) Use implicit differentiation to find y', and then evaluate y' for xy-4x3 +16=0 at the point (2,4). y' = y' (2.4) (Simplify your answer.) Given a triangle with a leg of 13 km and hypotenuse 19 km, find the missing side. The length of the missing side is km. (Round to the nearest thousandth.) A topographic globe has a radius of 22 cm. Find the volume of this sphere. Use 3.14. The volume is cm. (Type an integer or a decimal. Round to the nearest tenth as needed.) A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 2 feet per second, how fast is the distance between the dock and the boat decreasing when it is 3 feet from the dock? Boat Rope 3ft Dock The distance between the dock and the boat is decreasing by feet per second when the boat is 3 feet from the dock. (Round to the nearest thousandth as needed.)