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At a point (xo, yo), the gradient vector of a function is Vf = (1, 2). Which of the following must be true about the level curve f(x, y) = k that passes through the point (xo, yo). Select one: ○ a. The tangent line to the level curve at (20, yo) has a slope of 1/2. O b. The tangent line to the level curve at (xo, yo) has a slope of -1/2. ○ c. The tangent line to the level curve at (xo, yo) has a slope of -2. ○ d. The tangent line to the level curve at (xo, yo) has a slope of 2.

At a point (xo, yo), the gradient vector of a function is Vf = (1, 2). Which of the following must be true about the level curve f(x, y) = k that passes through the point (xo, yo). Select one: ○ a. The tangent line to the level curve at (20, yo) has a slope of 1/2. O b. The tangent line to the level curve at (xo, yo) has a slope of -1/2. ○ c. The tangent line to the level curve at (xo, yo) has a slope of -2. ○ d. The tangent line to the level curve at (xo, yo) has a slope of 2.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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At a point (xo, yo), the gradient vector of a function is Vf = (1, 2). Which of the following must be true about the level curve f(x, y) = k that passes through the point (xo, yo). Select one: ○ a. The tangent line to the level curve at (20, yo) has a slope of 1/2. O b. The tangent line to the level curve at (xo, yo) has a slope of -1/2. ○ c. The tangent line to the level curve at (xo, yo) has a slope of -2. ○ d. The tangent line to the level curve at (xo, yo) has a slope of 2.
Transcribed Image Text:At a point (xo, yo), the gradient vector of a function is Vf = (1, 2). Which of the following must be true about the level curve f(x, y) = k that passes through the point (xo, yo). Select one: ○ a. The tangent line to the level curve at (20, yo) has a slope of 1/2. O b. The tangent line to the level curve at (xo, yo) has a slope of -1/2. ○ c. The tangent line to the level curve at (xo, yo) has a slope of -2. ○ d. The tangent line to the level curve at (xo, yo) has a slope of 2.
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