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Determine a unit vector u = (a, b) with positive a such that at the point (x, y) = (1,1), the directional derivative of T in the direction of u is zero The gradient vector VT (x, y) always points in a direction perpendicular to the curve x² + 2y² = 5. True False The temperature T at a point (x, y) is given by the function 1 T (x, y) = x²+2y²+1 At the point (x, y) = (1, 1), what is the rate of change of T traveling in the direction aligned with the vector (1, 2). If your

Determine a unit vector u = (a, b) with positive a such that at the point (x, y) = (1,1), the directional derivative of T in the direction of u is zero The gradient vector VT (x, y) always points in a direction perpendicular to the curve x² + 2y² = 5. True False The temperature T at a point (x, y) is given by the function 1 T (x, y) = x²+2y²+1 At the point (x, y) = (1, 1), what is the rate of change of T traveling in the direction aligned with the vector (1, 2). If your

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Determine a unit vector u = (a, b) with positive a such that at the point (x, y) = (1,1), the directional derivative of T in the direction of u is zero The gradient vector VT (x, y) always points in a direction perpendicular to the curve x² + 2y² = 5. True False
Transcribed Image Text:Determine a unit vector u = (a, b) with positive a such that at the point (x, y) = (1,1), the directional derivative of T in the direction of u is zero The gradient vector VT (x, y) always points in a direction perpendicular to the curve x² + 2y² = 5. True False
The temperature T at a point (x, y) is given by the function 1 T (x, y) = x²+2y²+1 At the point (x, y) = (1, 1), what is the rate of change of T traveling in the direction aligned with the vector (1, 2). If your
Transcribed Image Text:The temperature T at a point (x, y) is given by the function 1 T (x, y) = x²+2y²+1 At the point (x, y) = (1, 1), what is the rate of change of T traveling in the direction aligned with the vector (1, 2). If your
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