Find equations for (a) the tangent plane and (b) normal line at the point P, on the given surface x* + y* + z = 3, P,(1,1,1) Ans. (a) x+ y+ z = 3 1) (b) x=1+2r, y =1+ 21,z =1+ 21

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find equations for (a) the tangent plane and
(b) normal line
at the point P, on the given surface
1) x* + y* +z° = 3, P,(1.1.1)
Ans. (a) x+y+z = 3
(b) x=1+ 2t,
y =1+ 21,z =1+ 21
2z-x = 0, P,(2,0,2)
Ans. (a) 2x-z-2=0
(b) x= 2-41, y = 0,
z= 2+2t
cos(7 x)- x'y+e" + yz 4, P(0,1,2)
Ans. (a) 2x+2 y+z-4 0
(b) x= 2t, y=1+ 2t,
z = 2+t
4)
x+ y+z =1, P,(0,1,0)
Ans. (a) x+ y+z-13D0
Transcribed Image Text:Find equations for (a) the tangent plane and (b) normal line at the point P, on the given surface 1) x* + y* +z° = 3, P,(1.1.1) Ans. (a) x+y+z = 3 (b) x=1+ 2t, y =1+ 21,z =1+ 21 2z-x = 0, P,(2,0,2) Ans. (a) 2x-z-2=0 (b) x= 2-41, y = 0, z= 2+2t cos(7 x)- x'y+e" + yz 4, P(0,1,2) Ans. (a) 2x+2 y+z-4 0 (b) x= 2t, y=1+ 2t, z = 2+t 4) x+ y+z =1, P,(0,1,0) Ans. (a) x+ y+z-13D0
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