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