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13. Thelinesy=xandy=4xintersect at {2,2}. {a} Show that the lines are perpendicular. {b} Graph the lines together on your calculator using the "window\" [10, 1D] x [10,]D]. {c} Why do the lines not appear to be perpendicu- lar on the calculator display? {d} Find a suitable window so that the lines do appear perpendicular. 5. Section [1.3, problem 19 19. Let r) = x+ 1 and dene 5(x} to be the slope of the line through the points (0,0) and {x,f[r)], as shown below. For example, 5(2) = slope of the line through (no) and (2,3) = g. (a) Evaluate 3(1), 31:3} and 5(4). {b} Find a formula for 51:17). 5. A small airplane at an altitude of 5,000 feet is flying east at 300 feet per second (a bit over 200 miles per hour), and you are watching it with a small telescope as it passes directly overhead. (a) What is the slope of the telescope 5, 10 and 20 seconds after the plane passes overhead? (b) What is the slope of the telescope t seconds after the plane passes overhead? (c) After the plane passes overhead, is the slope of the telescope increasing, decreasing or staying the same? airplane 5000 feet ground 3. Section 0.2, problem 14 14. Two lines both go through the point (1,2), one with slope 3 and one with slope - 3. (a) Find equations for the lines. (b) Choose a suitable window so that the lines will appear perpendicular, and then graph them to- gether on your calculator.. 4. Section 0.2, problem 13