f (x, y) is a differentiable function with Vf(4,3) = 7i+ 5j. 2. Suppose w = (a) Find the directional derivative of f at the point (4, 3) in the direction of the vector 3i + 2j. (b) For w = f(x, y), x = 6s tan? (t) and y = s2 + 10 sin(t), find Ət |(s,t)=(2,7/6)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Suppose w = f(x, y) is a differentiable function with Vf(4,3) = 7i+ 5j.
(a) Find the directional derivative of f at the point (4, 3) in the direction of the
vector 3i + 2j.
(b) For w = f(x, y), x =
6s tan? (t) and y =
s² + 10 sin(t),
find
|(s,t)=(2,7/6)
Transcribed Image Text:2. Suppose w = f(x, y) is a differentiable function with Vf(4,3) = 7i+ 5j. (a) Find the directional derivative of f at the point (4, 3) in the direction of the vector 3i + 2j. (b) For w = f(x, y), x = 6s tan? (t) and y = s² + 10 sin(t), find |(s,t)=(2,7/6)
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