2) Find the general solution about the ordinary point xo = 0. Give the first 3 non-zero terms from each of the linearly independent solutions. у" - ху' — у %3D0

The equation of the line that goes through (4,−4) and (6,11) can be written in the form y=mx+b, where m=?,b=? The equation of the line that goes through the point (6,2) and has slope −10−2 can be written in the form y=mx+b, where: m=?, b=? The equation of the line that goes through the point (9,1) and is parallel to the line 3x+4y=3 can be written in the form y=mx+b, where: m=?,b=? The equation of the line that goes through the point (7,2) and is perpendicular to the line 4x+4y=5 can be written in the form y=mx+b, where: m=?,b=?

Suppose you are climbing a hill whose shape is given by the equation z = 1300- 0.005x² - 0.01y², where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1266). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? Ⓒascend O descend At what rate? 1.6 X descend (b) If you walk northwest, will you start to ascend or descend? O ascend vertical meters per horizontal meter At what rate? (Round your answer to two decimal places.) .57 vertical meters per horizontal meter X (c) In which direction is the slope largest? What is the rate of ascent in that direction? vertical meters per horizontal meter At what angle above the horizontal does the path in that direction begin? (Round your answer to two decimal places.) 60.81