[AT] is a tangent to the given circle. OA = 13 cm and the circle has radius 5 cm. Find

MAT 211­ Lecture 3­ Section 15.1 (Cont.) Position of Two Planes in the xyz plane can: ­be parallel ­OR intersect in a line (called a line of intersection) ­Ex.: At which line the plane z= ­3x­2y+6 and the yz coordinate plane intersect yz coordinate plane­­­­­> x=0 z= ­2y+6 ­Ex.: At which line the plane z= ­3x­2y+6 and the xz coordinate plane intersect xz coordinate plane­­­­­> y=0 z= ­3x+6 ­Ex.: At which line the plane z= ­3x­2y+6 and the xy coordinate plane intersect xy coordinate plane­­­­­> z=0 z= ­3x­2y+6 ­Ex.: ­Homework Problem #13.) z= f(x,y)= 1­3x+2y x­int.: y=0, z=0 0= 1­3 x= ⅓ (⅓,0,0) y­int.: z=0, x=0 0= 1+2y y= ­½ (0,­½,0) z­int.: x=0, y=0 z= 1 (0,0,1) 2 2 2 2 ­Ex.: z= f(x,y)= x +y Find the graph of the function z= x +y . a.) At which curve the surface z= f(x,y)= x +y and the xz coordinate plane intersect y=0 2 2 z=x +y 2 z=x ­­­­­>curve of intersection 2 2 b.) At which curve the surface z= x +y and yz coordinate plane intersect x=0 z= x +y 2