y Consider the surface of equation z = X+Y² What is the equation for the tangent line to S at the point P(1,-1, -1/2), in the vector direction w(1,1)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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What is the equation for the tangent line to S at
the point P(1,-1, -1/2), in the vector direction w(1,1)
y
X+Y²
con teR
con
Consider the surface of equation z =
A) (x, y, z) = (1,−1, −¹) + t. (1,1,1).
B) (x, y, z) = (1,−1, −²¹) + t. (-
C) (x, y, z) = (1, −1, −7¹') + t
+t.
·. (1,1, 11/2).
con
D) (r.9. 2) - (1.-1.)+1(2)
y, =
1 1 1
√2¹ √√24√2,
ter
ter
con tER
Transcribed Image Text:What is the equation for the tangent line to S at the point P(1,-1, -1/2), in the vector direction w(1,1) y X+Y² con teR con Consider the surface of equation z = A) (x, y, z) = (1,−1, −¹) + t. (1,1,1). B) (x, y, z) = (1,−1, −²¹) + t. (- C) (x, y, z) = (1, −1, −7¹') + t +t. ·. (1,1, 11/2). con D) (r.9. 2) - (1.-1.)+1(2) y, = 1 1 1 √2¹ √√24√2, ter ter con tER
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