Question 2 Fill in the blanks with real numbers to make the following statement as precise as possible: af ду ≤ Duf(xo, Yo) ≤. for any unit vector u. Daf is the directional derivative of f in the direction of u. If at some point (xo, Yo), af əx -(xo, yo) = 3 and -(xo, yo) = -4 then
Question 2 Fill in the blanks with real numbers to make the following statement as precise as possible: af ду ≤ Duf(xo, Yo) ≤. for any unit vector u. Daf is the directional derivative of f in the direction of u. If at some point (xo, Yo), af əx -(xo, yo) = 3 and -(xo, yo) = -4 then
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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sorry, I meant question 2 please
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Question 2 Fill in the blanks with real numbers to make the following statement as
precise as possible:
af
If at some point (xo, yo), -(xo, yo) = 3 and -(xo, yo)=-4 then
af
əx
ду
<Daf (xo, Yo) <
for any unit vector u. Dūf is the directional derivative of f in the direction of u.
a
X +
Question 4 Find and classify the critical points of the function
f(x, y) = x³ - 12x + 3y² - 6y.
99+
1 of 2
Question 3 The cylindrical solid enclosed by x² + y² = 4, z = 0 and z = 5 has
mass density given by o(x, y, z) = 8 - arctan (22). Set up integrals to find the mass
and z-coordinate of the center of mass. You do not need to actually do any of the
integrals.
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