Question

web001-S15: Problem 8 Previous Problem Problem List Next Problem (1 point) Write down an (in)equality which describes the solid ball of radius 7 centered at (-4, 6, -2). It should have a form like (r+15)2 +(y- 20)2 +(z-12)2-100 > 0, where you use one of the following symbols: <,<,=, >=,> (We assume that the points on the boundary of the ball belong to the ball.) The first blank is for the algebraic expression; the second for the (in)equality sign. 0 > WATCH THE NUMBER OF REMAINING ATTEMPTS ote: You can earn partial credit on this problem Check Answers Preview My Answers u have attempted this problem 2 times

Answer 1

of radius & we know that equation of sphere and center caib, is - (x-a22+ cy-b)2 + (2-0)2 = 82. : solid ball of radius 7 centered at C-4,6-27 (x-(-4)) + (4-6) ²+ (2-(-2) 2 < (72 i é (x+4)2 + (4-6) 2+ (2+2)2 < 49. but boundry points are belongs to the ball & equation including boundary is (22+4)2 + (4-6) 24 (2+2)2 549. ië ((x+4)² + (4-6)2+(2+2)² - 49 sol