webwork / math213rdong / homework06 / 6 Homework06: Problem 6 Previous Problem Problem List Next Problem (3 points) Find equations of the tangent plane and normal line to the surface x - 5y? | 12 -200 at the point (5, 6, -5) Tangent Plane: (make the coefficient of x equal to 1). Normal line: (5, 6 - 5 It(1, Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 40%. You have 4 attempts remaining. Email instructor Desktop 16 Irch acer F10 F1 1 F12 PrtSc/Imprecr. F7 8 Scr LK Break F4 F6 Arretdel SysRaSyst. o A 8 5 6 8 2 9 12 0 P C m R YHomework06: Problem 8 Previous Problem Problem List Next Problem (3 points) Find the linearization L (x, y) of the function f (x, y) = V33 -4x2 - 16y2 at (2, 1). L (x, y) Note: Your answer should be an expression in x and y; e.g. "3x - 5y + 9" Preview My Answers Submit Answers You have attempted this problem 0 times. You have 5 attempts remaining. Email instructor Desktop acer F11 12 PrtSc/imprecr. F10 SysRa/ Syst -4 6 F7 Arretdef X A 2 8 2 9 0 7 5 O O CHomework06: Problem 9 Previous Problem Problem List Next Problem (3 points) Find equations of the tangent plane and normal line to the surface x = 4y + 3z - 416 at the point (-4, 10, -2). Tangent Plane: (make the coefficient of x equal to 1). Normal line: (-4, 10 1 -2 +t(1, 4 13 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 40%. You have 4 attempts remaining. Email instructor Desktop rch O acer PrtSc/Impre F9 F10 F11 F12 F4 F6 F7 Arretdef SysRalSys 63 K A 8 LA W 0 5 6 7 8 2 O P F RHomework06: Problem 12 Previous Problem Problem List Next Problem (3 points) Find the equation of the plane that passes through the point (2, 1, -6) and is tangent to the surface 12 + 4y + 32- 116 at (2, 1, -6). Write it in the form indicated below. Equation: 4(x - 2)+ 4 (y - 1 )+ 108 (2 - -6 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 50%. You have 3 attempts remaining. Email instructor search O Desktop acer F9 10 F11 F12 PrtSc/imprecr 4 6 Arretdef SysRa/SyST 0 4 2 B 4 5 8 R U O D G H K