EBK DISCRETE MATHEMATICS: INTRODUCTION
11th Edition
ISBN: 9781133417071
Author: EPP
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Question 21 of 28 (1 point) | Question Attempt: 5 of Unlimited
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22 >
How many apps? According to a website, the mean number of apps on a smartphone in the United States is 82. Assume
the number of apps is normally distributed with mean 82 and standard deviation 30.
Part 1 of 2
(a) What proportion of phones have more than 47 apps? Round the answer to four decimal places.
The proportion of phones that have more than 47 apps is 0.8783
Part: 1/2
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(14 points) Let S = {(x, y, z) | z = e−(x²+y²), x² + y² ≤ 1}. The surface is the graph of
ze(+2) sitting over the unit disk.
=
(a) (4 points) What is the boundary OS? Explain briefly.
(b) (4 points) Let F(x, y, z) = (e³+2 - 2y, xe³±² + y, e²+y). Calculate the curl V × F.
(6 points) Let S be the surface z = 1 − x² - y², x² + y² ≤1. The boundary OS of S
is the unit circle x² + y² = 1. Let F(x, y, z) = (x², y², z²). Use the Stokes' Theorem to
calculate the line integral
Hint: First calculate V x F.
Jos F
F.ds.
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