Question 6 Let f(x, y) = e³-cos(x - 1). Estimate f(.98, 3.01) using differentials (linear approximation).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 1E: Does a right circular cylinder such as an aluminum can have a symmetry with respect to at least one...
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I
Joel R. Hass, Christopher Heil, Ma X
Ⓒ File | C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalB.pdf
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https://openvellum.ecollege.com X PDF MATH213SampleFinalA.pdf
T Read aloud
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100
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the xy-plane and below by the sphere of radius 4 centered at the origin.
1 of 2
Question 6 Let f(x, y) e³x-y cos(x-1). Estimate f(.98, 3.01) using differentials
(linear approximation).
Question 7 Change the following triple integral to cylindrical coordinates and then
to spherical coordinates:
/9-x²-y²
H
MATH213SampleFinalB.pdf
√9-2²
LEN
-√9-x² Jo
Now use one of the three integrals to compute the common value.
Question 8 Evaluate
99+
21
Question 10 Consider the following curves.
Р O
a
✅ arctan(x) dx + (3x − 4 − 5y) dy,
where is the circle of radius 4 centered at (2,5) parameterized counterclockwise.
Question 9 The fluid flow in a region is given by a vector field F = (x−2y)î+ (2x+
6y)ĵ. Compute the total outward flux of the fluid passing through a rectangular box,
with opposite corners at the origin and at (4,2). Is there more flow into or out of the
box?
X +
+ y² + z² dz dy dx.
O
2
64°F
o
{"
60
re
1:46 AM
5/12/2023
4
A
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Transcribed Image Text:I Joel R. Hass, Christopher Heil, Ma X Ⓒ File | C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalB.pdf Draw Type here to search https://openvellum.ecollege.com X PDF MATH213SampleFinalA.pdf T Read aloud I 100 + JJ JH the xy-plane and below by the sphere of radius 4 centered at the origin. 1 of 2 Question 6 Let f(x, y) e³x-y cos(x-1). Estimate f(.98, 3.01) using differentials (linear approximation). Question 7 Change the following triple integral to cylindrical coordinates and then to spherical coordinates: /9-x²-y² H MATH213SampleFinalB.pdf √9-2² LEN -√9-x² Jo Now use one of the three integrals to compute the common value. Question 8 Evaluate 99+ 21 Question 10 Consider the following curves. Р O a ✅ arctan(x) dx + (3x − 4 − 5y) dy, where is the circle of radius 4 centered at (2,5) parameterized counterclockwise. Question 9 The fluid flow in a region is given by a vector field F = (x−2y)î+ (2x+ 6y)ĵ. Compute the total outward flux of the fluid passing through a rectangular box, with opposite corners at the origin and at (4,2). Is there more flow into or out of the box? X + + y² + z² dz dy dx. O 2 64°F o {" 60 re 1:46 AM 5/12/2023 4 A + A
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