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For Question 22 show graph f2122 Use a computer graph of the: function to explain why the limit clues not exist. i 29. Water traveling

For Question 22 show graph

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\f2122 Use a computer graph of the: function to explain why the limit clues not exist. i 29. Water traveling along a straight portion of a river normally ows fastest in the middle, and the speed slows to almost zero at the banks. Consider a long straight stretch of river owing north, with parallel banks 40 m apart. If the maxi- mum water speed is 3 m/ s, we can use a quadratic function as a basic model for the rate of water ow 1: units from the west bank: f (x) = x x). (a) A boat proceeds at a constant speed of 5 m / s from a point A on the west bank while maintaining a heading perpen- dicular to the bank. How far down the river on the oppo site bank will the boat touch shore? Graph the path of the boat. 03) Suppose we would like to pilot the boat to land at the point B on the east hank directly opposite A. If we main tain a constant speed of 5 m/s and a constant heading, nd the angle at which the boat should head. Then graph the actual path the boat follows. Does the path seem realistic? 30. Another reasonable model for the water speed of the river in Exercise 29 is a sine function: f(x) = 3 sin(x/40). If a boater would like to cross the river from A to B with con- stant heading and a constant speed of 5 m/s, determine the angle at which the boat should head

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