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Let A be the area of a circle 1with radius 1". If % = 3. find LE- when 1- = 4. Answer: C] At noon, ship A is 40 nautical miles due west of ship El. Ship A is sailing west at 22 knots and ship Bis sailing north at 15 knots. How fast {in knots] is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) D Note: Draw yourself a diagram which shows where the ships are at noon and where they are "some time" later on. You will need to use geometryr to work out a formula which tells you how far apart the ships are at time t, and you will need to use "distance = velocity * time' to work out how far the ships have travelled after time t. Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 15 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by V = -arch. When the pile is 15 feet high, its height is increasing at feet per minute.A spherical snowball is melting so that its diameter is decreasing at rate of 0.3 cm/min. At what is the rate is the volume of the snowball changing when the diameter is 16 cm? The volume is changing at a rate of cm/min.The length of a rectangle is increasing at a rate of 6cm/s and its width is increasing at a rate of 2cm/s. When the length is 40cm and the width is 20cm, how fast is the area of the rectangle increasing? Answer (in cm /s):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 3m/s, how fast is the area of the spill increasing when the radius is 35m? O Answer (in m /s):Sketch the graph of the following function and use it to determine the following limits. If a limit does not exist, type DNE. c - 4, for * 1 1. lim f(x) = 2. lim f(x) = 3. lim f(x) = 4. lim f(a) = #+1 5. f(-1) =Sketch the graph of the following function and use it to determine the following limits. If a limit does not exist, type DNE. c - 4, for * 1 1. lim f(x) = 2. lim f(x) = 3. lim f(x) = 4. lim f(a) = #+1 5. f(-1) =