= 4, z Question 3 The cylindrical solid enclosed by x² + y² = 0 and 2 = 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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 3 please

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X b Success Confirmat X PDF MATH213Sample X PDF Joel R. Hass, Chris X PDF MATH213Sample X PDF MATH213Sample X PDF Math_213_Exam_ X
File | C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalA.pdf
T Read aloud
If at some point (xo, yo), (xo, yo)
U J
əx
Draw
1
=
of 2
ду
≤ Düƒ (xo, Yo) ≤
for any unit vector u. Daf is the directional derivative of f in the direction of u.
H
a
UJ
3 and
99+
(xo, yo) = -4 then
Question 4 Find and classify the critical points of the function
3
f(x, y) = x³
- 12x + 3y² – 6y.
Question 5 Evaluate
xy-plane with corners at the origin, (0,4) and (2,0).
Type here to search
발
Р
Question 3 The cylindrical solid enclosed by x² + y² 4, z 0 and 2 = 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.
=
PDF Math_213_Exam_ X
=
60
[[(2x + 6y) dA, where T' is the
(2x + 6y) dA, where T is the triangular region in the
+
70°F
✓
(4x
⠀
3:30 PM
5/21/2023
•
EM
1
+
Transcribed Image Text:뵤 New tab X b Success Confirmat X PDF MATH213Sample X PDF Joel R. Hass, Chris X PDF MATH213Sample X PDF MATH213Sample X PDF Math_213_Exam_ X File | C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalA.pdf T Read aloud If at some point (xo, yo), (xo, yo) U J əx Draw 1 = of 2 ду ≤ Düƒ (xo, Yo) ≤ for any unit vector u. Daf is the directional derivative of f in the direction of u. H a UJ 3 and 99+ (xo, yo) = -4 then Question 4 Find and classify the critical points of the function 3 f(x, y) = x³ - 12x + 3y² – 6y. Question 5 Evaluate xy-plane with corners at the origin, (0,4) and (2,0). Type here to search 발 Р Question 3 The cylindrical solid enclosed by x² + y² 4, z 0 and 2 = 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. = PDF Math_213_Exam_ X = 60 [[(2x + 6y) dA, where T' is the (2x + 6y) dA, where T is the triangular region in the + 70°F ✓ (4x ⠀ 3:30 PM 5/21/2023 • EM 1 +
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