Section 2.7. Read the entire section. Answer the following questions by 7:00 am. Send an e-mail with subject line MA251 to firstname.lastname@example.org .
Pay particular attention to Definition1, Definition 4, and Equation 5.
1) Fill in the blank: The tangent line to y = f(x) at (a,f(a)) is the line through (a,f(a)) whose slope is equal to the __________ of f at a.
2) Fill in the blank: The instantaneous velocity at time t=a of a falling object is equal to the _________ of the line tangent to the graph of the position function at the point (a,f(a)).
3) On page 148 we are given a second interpretation of the derivative. Fill in the blanks. The derivative f'(a) is the ___________ ____________ of _________ of y = f(x) with respect to _______ when x = _________ .
3)instantaneous, rate, change, x, a