JJJ₁² z dV, where H is the solid region bounded above by Question 5 Compute the xy-plane and below by the sphere of radius 4 centered at the origin.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 5 please

16 뵤
■
LI
New tab
X PDF MATH213SampleFinal X PDF Joel R. Hass, Christoph X PDF MATH213SampleFinal X PDF MATH213SampleFinall X
File C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalB.pdf
Draw
T Read aloud
+
1 of 2
d) Compute an equation for the plane tangent to the surface given by the equation
2 = f(x, y) at the point in space with x =
1 and y
−1.
=
c) Find the rate at which f(x, y) is changing at (1,−1) in the direction toward the
point (5,2).
over the region x
Question 3 Let E be the solid bounded by y
mass density is given by p(x, y, z) = x. Sketch E and find its mass.
Type here to search
Et
22,
Question 4 Find and classify the absolute extrema of the function f(x, y) = x² - y²
x² + y² ≤ 1.
p³ √9-x² √√√/9-x²-y²
a
PDF Math_213_Exam_ll sol x
D
= X
Question 5 Compute
z dV, where H is the solid region bounded above by
the xy-plane and below by the sphere of radius 4 centered at the origin.
99+
е
Question 6 Let f(x, y) = e³−y cos(x − 1). Estimate f(.98,3.01) using differentials
(linear approximation).
Р
Question 7 Change the following triple integral to cylindrical coordinates and then
to spherical coordinates:
O
b Answered: Question 2 X +
Y x, x = z, and z 0 whose
=
=
63°F
60
✓
12:58 AM
5/21/2023
4
la
+
Transcribed Image Text:16 뵤 ■ LI New tab X PDF MATH213SampleFinal X PDF Joel R. Hass, Christoph X PDF MATH213SampleFinal X PDF MATH213SampleFinall X File C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalB.pdf Draw T Read aloud + 1 of 2 d) Compute an equation for the plane tangent to the surface given by the equation 2 = f(x, y) at the point in space with x = 1 and y −1. = c) Find the rate at which f(x, y) is changing at (1,−1) in the direction toward the point (5,2). over the region x Question 3 Let E be the solid bounded by y mass density is given by p(x, y, z) = x. Sketch E and find its mass. Type here to search Et 22, Question 4 Find and classify the absolute extrema of the function f(x, y) = x² - y² x² + y² ≤ 1. p³ √9-x² √√√/9-x²-y² a PDF Math_213_Exam_ll sol x D = X Question 5 Compute z dV, where H is the solid region bounded above by the xy-plane and below by the sphere of radius 4 centered at the origin. 99+ е Question 6 Let f(x, y) = e³−y cos(x − 1). Estimate f(.98,3.01) using differentials (linear approximation). Р Question 7 Change the following triple integral to cylindrical coordinates and then to spherical coordinates: O b Answered: Question 2 X + Y x, x = z, and z 0 whose = = 63°F 60 ✓ 12:58 AM 5/21/2023 4 la +
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