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ll. Concept Mapping [20 points) Create a concept map about the topic Continuity of a Function. Problem Set [30 points] 1. Suppose the height of an object thrown upward with respect to time is given by d (t) = 1(E~t2 + 64t, where d is the height in feet and t is the time in seconds. [3 points each] a. What is the average velocity of the object in the rst 3 seconds? b. How fast is the object moving at t = 3 seconds? c. What is the instantaneous acceleration at t = 3 seconds? 2. Given the equation of the curve x2 313! + y2 = 1 : [3pts each} F' d \"3' a. 1n dx b. What is the slope of the tangent line at point [2,1]? c. What is the equation of the tangent line? 3. A water tank has the shape of an inverted circular cone with base radius of 3 m and height of 6 m. if water is being pumped into the tank at a rate of 2 in3 / min, nd the rate at which the water level is rising when the water is 3 m deep. [6 points) 4. Aladder is 15 ft long rest against a wall. If the bottom of the ladder slides away from the wall at a rate of 1 ft/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 9 ft from the wall? {6 points]