Let f(x, y, z) = 3xz + sin(ry)e*. what is faz? Find the gradient at the point (0, 0, 0)?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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1. Let f(x, y, z) = 3xz + sin(xy)e*. what is faz? Find the gradient at the point (0,0,0)?
2. Find the cosine of the angle between the vectors a = 2i + 3j – 4k and 5 = 5i - 1j + 1k. (You
should leave your answer in unsimplified form, up till where you would need calculator to further
simplify.)
3. Find the equation of the plane containing both the point (1, 2, 3) and the line r(t) = (t, 2t+1, 3t).
Write it in the form ax +by+cz = d.
Transcribed Image Text:1. Let f(x, y, z) = 3xz + sin(xy)e*. what is faz? Find the gradient at the point (0,0,0)? 2. Find the cosine of the angle between the vectors a = 2i + 3j – 4k and 5 = 5i - 1j + 1k. (You should leave your answer in unsimplified form, up till where you would need calculator to further simplify.) 3. Find the equation of the plane containing both the point (1, 2, 3) and the line r(t) = (t, 2t+1, 3t). Write it in the form ax +by+cz = d.
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