Consider the function f(x) = x2 5. Apply two steps of Newton's method starting from x1 = 1. (This will lead to an approximation of the zero 5.) x2 = x3 = (2) A Math 1A student drives to see her family in Los Angeles for the winter break. During her drive, between 1pm and 2pm, she notices that the distance to Los Angeles (in miles) always happens to be the same as her speed in (in miles per hour). By this we mean the following: Every time the student passes a road sign showing the distance to Los Angeles, her speedometer happens to display the same number as the sign. At 1pm, her distance to Los Angeles was 100 miles. What is her distance to Los Angeles at 2pm? (Hint: You may need to solve a differential equation.) ANSWER: miles (3) The following list shows four possible ways of continuing the sentence below. Decide which of these result in a true statement. For every > 0 there is a > 0 such that: If x > 0 and . . . . . . 1 x 1 . TRUE FALSE . . . 1 x 1 . TRUE FALSE