APPLICATION Nick is also designing a computer animation program. His program first draws a letter N by connecting the points (7, 1), (7, 2), (8, 1), and (8, 2). Then, in each subsequent frame, the previous N is erased and an image is drawn whose coordinates are defined by (x 0.25, y + 0.05). The program uses recursion to do this over and over again. What will be the coordinates of the N in the a. 10th new frame? b. 25th new frame? c. 40th new frame?

Lecture 22: Linear Approximations (Section 4.1) We have seen that a cury ve= f(x)clyllwssa- gent line at a point (a,f(a)). That is, we can approximate aote f(x)of x near a by the corresponding function value on the tangent line....