Shade the set of points (, y) in the Cartesian plane,
which satisfy « - 2 < 0.5 and y - 1 < 0.3.

 

A graph is defined by the polar equation r = 5 cos theta. Transform to Cartesian coordinates and find the Cartesian equation. Then draw the graph on a Cartesian plane (x - y plane)

The following graph shows the line y = 2x + 1. Notice that the line divides the Cartesian plane into two half-planes-one below and one above the line. The set of all the points in the half-plane below the line are in the shaded region The set of points on the line, together with the points in the shaded region, make up the solution set of the inequality: y lessthanorequalto 2x + 1. To get an idea of what this means, choose several points-a few on the line, a few in the shaded region, and a few in the unshaded region-and evaluate the inequality for each. What do you notice? Write an inequality that has as its solution set the points on the line y = 2x + 1 together with all the points above the line. Suppose you wanted to graph the solutions to the strict inequality y

Find vector. parametric and Cartesian equation for the line L in R3 that contains the points P(1, 2, 5) and Q(2, - 1, 7). Find the Cartesian equation of the plane with normal vector (-2, 3, 7) and containing the point R(3, -1, 6). Find the intersection of the line L with the plane .