Solve the following and show the complete solution. 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = (i -j)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
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Solve the following and show the complete solution.
1. Find Duf at P: f(x, y) = sin(8x – 5y); P (5,8)); u =
2. Using Lagrange multipliers, find three positive numbers whose sum is 18
i
and such that the sum of their squares is as small as possible. Give the
sum of the squares.
3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to
the plane 7x – y + z = 2 and x + y – 8z = 4.
Transcribed Image Text:Solve the following and show the complete solution. 1. Find Duf at P: f(x, y) = sin(8x – 5y); P (5,8)); u = 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 i and such that the sum of their squares is as small as possible. Give the sum of the squares. 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x – y + z = 2 and x + y – 8z = 4.
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