2- Write inequalities to describe the solid rectangular box in the first octant

Question

2-Write inequalities to describe the solid rectangular box in the first octant bounded by the

planes x = 4, y = 8, and z = 5.

4-Write an equation or inequality that represents a plane containing all points with equal x and y

coordinates.

5-Write an equation that represents all points on and inside a circular cylinder of radius 6 with the y-axis as its axis.

6-Find the equation of the line through(2,-2,4) and perpendicular to the plane -x+2y+5z=12.

7-Find an equation of the plane that passes through the line of intersection of the planes x-z=10 and y+5z=9 is perpendicular to the plane 3x+2y-2z=7

Explanation / Answer

2- 0<=x<=4

0<=y<=8

0<=z<=5

4) x=y ;z

5) x^2 + z^2 <= 36

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