MA 111, Fall, 2000-2001
WorkSheet1
1) Given the points {(−1, 5), (0, 3), (1.5, 2), (2, 3), (3, 0), (4, −2)} .
(a) Plot the points in Maple.
(b) Use the first and last points to determine a line. Do your work in the following space.
(c) Use my least squares routine to find the best fit for the points.
(d) Display the points, your line and the least squares line on a single set of axes in Maple.
2) Finding the distance between the point (4,1) and the line L: y = −2x − 3.
(a) What is the slope of a line perperdicular to L?
(b) Find the equation of the line through (4,1) and perpendicular to L. Do your work here.
(c) Plot the point, the line L, and the line perpendicular to L in Maple.
(d) Now use Maple to solve for the intersection of the two lines. The coordinates are
(e) Now find the distance between (4,1) and the point found in (d). Just for practice, use
Maple to do this computation.