Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 23.8, Problem 9E
To determine
To evaluate: The value of
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Gender College GPAFemale Arts and Sciences 3.21Male Engineering 3.87Female Health Science 3.85Male Engineering 3.20Female Nursing 3.40Male Engineering 3.01Female Nursing 3.48Female Nursing 3.26Female Arts and Sciences 3.50Male Engineering 3.00Female Arts and Sciences 3.13Female Nursing 3.34Female Nursing 3.67Female Education 3.45Female Engineering 3.17Female Health Science 3.28Female Nursing 3.25Male Engineering 3.72Female Arts and Sciences 2.68Female Nursing 3.40Female Health Science 3.76Female Arts and Sciences 3.72Female Education 3.44Female Arts and Sciences 3.61Female Education 3.29Female Nursing 3.20Female Education 3.80Female Business 3.26Male…
(3) (20 points) Let F(x, y, z) = (y, z, x²z). Define
E = {(x, y, z) | x² + y² ≤ z ≤ 1, x ≤ 0}.
(a) (2 points) Calculate the divergence V. F.
(b) (4 points) Let D = {(x, y) | x² + y² ≤ 1, x ≤ 0} Without calculation, show that
the triple integral
√ (V · F) dV = √ 2²(1.
= x²(1 − x² - y²) dA.
E
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Chapter 23 Solutions
Basic Technical Mathematics
Ch. 23.1 - Determine the continuity of the function
.
Ch. 23.1 - Prob. 2PECh. 23.1 -
Find .
Ch. 23.1 -
Find .
Ch. 23.1 - Prob. 1ECh. 23.1 - Prob. 2ECh. 23.1 - Prob. 3ECh. 23.1 - Prob. 4ECh. 23.1 - Prob. 5ECh. 23.1 - Prob. 6E
Ch. 23.1 - Prob. 7ECh. 23.1 - Prob. 8ECh. 23.1 - Prob. 9ECh. 23.1 - Prob. 10ECh. 23.1 - Prob. 11ECh. 23.1 - Prob. 12ECh. 23.1 - Prob. 13ECh. 23.1 - Prob. 14ECh. 23.1 - Prob. 15ECh. 23.1 - Prob. 16ECh. 23.1 - Prob. 17ECh. 23.1 - Prob. 18ECh. 23.1 - Prob. 19ECh. 23.1 - Prob. 20ECh. 23.1 - In Exercises 21–24, graph the function and...Ch. 23.1 - Prob. 22ECh. 23.1 - Prob. 23ECh. 23.1 - Prob. 24ECh. 23.1 - Prob. 25ECh. 23.1 - Prob. 26ECh. 23.1 - Prob. 27ECh. 23.1 - Prob. 28ECh. 23.1 - Prob. 29ECh. 23.1 - Prob. 30ECh. 23.1 - Prob. 31ECh. 23.1 - Prob. 32ECh. 23.1 - Prob. 33ECh. 23.1 - Prob. 34ECh. 23.1 - Prob. 35ECh. 23.1 - Prob. 36ECh. 23.1 - Prob. 37ECh. 23.1 - Prob. 38ECh. 23.1 - Prob. 39ECh. 23.1 - Prob. 40ECh. 23.1 - Prob. 41ECh. 23.1 - Prob. 42ECh. 23.1 - Prob. 43ECh. 23.1 - Prob. 44ECh. 23.1 - Prob. 45ECh. 23.1 - In Exercises 31–50, evaluate the indicated limits...Ch. 23.1 - In Exercises 31–50, evaluate the indicated limits...Ch. 23.1 - Prob. 48ECh. 23.1 - Prob. 49ECh. 23.1 - Prob. 50ECh. 23.1 - Prob. 51ECh. 23.1 - Prob. 52ECh. 23.1 - Prob. 53ECh. 23.1 - Prob. 54ECh. 23.1 - Prob. 55ECh. 23.1 - Prob. 56ECh. 23.1 - Prob. 57ECh. 23.1 - Prob. 58ECh. 23.1 - Prob. 59ECh. 23.1 - A 5-Ω resistor and a variable resistor of...Ch. 23.1 - Prob. 61ECh. 23.1 - Prob. 62ECh. 23.1 - Prob. 63ECh. 23.1 - Prob. 64ECh. 23.1 - Prob. 65ECh. 23.1 - Prob. 66ECh. 23.1 - Prob. 67ECh. 23.1 - Prob. 68ECh. 23.1 - Prob. 69ECh. 23.1 - Prob. 70ECh. 23.1 - Prob. 71ECh. 23.1 - Prob. 72ECh. 23.2 - Find the slope of a line tangent to the curve of y...Ch. 23.2 - Prob. 2PECh. 23.2 - Prob. 1ECh. 23.2 - Prob. 2ECh. 23.2 - In Exercises 3–6, use the method of Example 1 to...Ch. 23.2 - In Exercises 3–6, use the method of Example 1 to...Ch. 23.2 - Prob. 5ECh. 23.2 - Prob. 6ECh. 23.2 - In Exercises 7–10, use the method of Example 2 to...Ch. 23.2 - Prob. 8ECh. 23.2 - Prob. 9ECh. 23.2 - Prob. 10ECh. 23.2 - Prob. 11ECh. 23.2 - Prob. 12ECh. 23.2 - Prob. 13ECh. 23.2 - Prob. 14ECh. 23.2 - Prob. 15ECh. 23.2 - Prob. 16ECh. 23.2 - Prob. 17ECh. 23.2 - Prob. 18ECh. 23.2 - Prob. 19ECh. 23.2 - Prob. 20ECh. 23.2 - Prob. 21ECh. 23.2 - Prob. 22ECh. 23.2 - Prob. 23ECh. 23.2 - Prob. 24ECh. 23.2 - Prob. 25ECh. 23.2 - Prob. 26ECh. 23.2 - In Exercises 27–30, find the point(s) where the...Ch. 23.2 - Prob. 28ECh. 23.2 - Prob. 29ECh. 23.2 - Prob. 30ECh. 23.2 - Prob. 31ECh. 23.2 - Prob. 32ECh. 23.2 - Prob. 33ECh. 23.2 - Prob. 34ECh. 23.3 - Using the definiton, find the derivative of y = 5x...Ch. 23.3 - Prob. 2PECh. 23.3 - Prob. 1ECh. 23.3 - Prob. 2ECh. 23.3 - Prob. 3ECh. 23.3 - Prob. 4ECh. 23.3 - Prob. 5ECh. 23.3 - Prob. 6ECh. 23.3 - Prob. 7ECh. 23.3 - Prob. 8ECh. 23.3 - Prob. 9ECh. 23.3 - Prob. 10ECh. 23.3 - Prob. 11ECh. 23.3 - Prob. 12ECh. 23.3 - Prob. 13ECh. 23.3 - Prob. 14ECh. 23.3 - Prob. 15ECh. 23.3 - Prob. 16ECh. 23.3 - Prob. 17ECh. 23.3 - Prob. 18ECh. 23.3 - Prob. 19ECh. 23.3 - Prob. 20ECh. 23.3 - Prob. 21ECh. 23.3 - Prob. 22ECh. 23.3 - Prob. 23ECh. 23.3 - Prob. 24ECh. 23.3 - In Exercises 25–28, find the derivative of each...Ch. 23.3 - Prob. 26ECh. 23.3 - Prob. 27ECh. 23.3 - Prob. 28ECh. 23.3 - Prob. 29ECh. 23.3 - Prob. 30ECh. 23.3 - Prob. 31ECh. 23.3 - Prob. 32ECh. 23.3 - Prob. 33ECh. 23.3 - Prob. 34ECh. 23.3 - Prob. 35ECh. 23.3 - Prob. 36ECh. 23.3 - Prob. 37ECh. 23.3 - Prob. 38ECh. 23.3 - Prob. 39ECh. 23.3 - Prob. 40ECh. 23.4 - Prob. 1PECh. 23.4 - Prob. 2PECh. 23.4 - Prob. 1ECh. 23.4 - Prob. 2ECh. 23.4 - Prob. 3ECh. 23.4 - Prob. 4ECh. 23.4 - Prob. 5ECh. 23.4 - Prob. 6ECh. 23.4 - Prob. 7ECh. 23.4 - Prob. 8ECh. 23.4 - Prob. 9ECh. 23.4 - Prob. 10ECh. 23.4 - Prob. 11ECh. 23.4 - Prob. 12ECh. 23.4 - Prob. 13ECh. 23.4 - Prob. 14ECh. 23.4 - Prob. 15ECh. 23.4 - Prob. 16ECh. 23.4 - Prob. 17ECh. 23.4 - Prob. 18ECh. 23.4 - Prob. 19ECh. 23.4 - Prob. 20ECh. 23.4 - Prob. 21ECh. 23.4 - Prob. 22ECh. 23.4 - Prob. 23ECh. 23.4 - Prob. 24ECh. 23.4 - Prob. 25ECh. 23.4 - Prob. 26ECh. 23.4 - Prob. 27ECh. 23.4 - Prob. 28ECh. 23.4 - Prob. 29ECh. 23.4 - Prob. 30ECh. 23.4 - Prob. 31ECh. 23.4 - Prob. 32ECh. 23.4 - Prob. 33ECh. 23.4 - Prob. 34ECh. 23.4 - Prob. 35ECh. 23.4 - Prob. 36ECh. 23.4 - Prob. 37ECh. 23.4 - Prob. 38ECh. 23.4 - Prob. 39ECh. 23.4 - Prob. 40ECh. 23.4 - Prob. 41ECh. 23.4 - Prob. 42ECh. 23.4 - In Exercises 27–46, find the indicated...Ch. 23.4 - Prob. 44ECh. 23.4 - Prob. 45ECh. 23.4 - Prob. 46ECh. 23.5 - Prob. 1PECh. 23.5 - Prob. 2PECh. 23.5 - Prob. 1ECh. 23.5 - Prob. 2ECh. 23.5 - Prob. 3ECh. 23.5 - Prob. 4ECh. 23.5 - Prob. 5ECh. 23.5 - Prob. 6ECh. 23.5 - Prob. 7ECh. 23.5 - Prob. 8ECh. 23.5 - Prob. 9ECh. 23.5 - Prob. 10ECh. 23.5 - Prob. 11ECh. 23.5 - In Exercises 5–20, find the derivative of each of...Ch. 23.5 - Prob. 13ECh. 23.5 - Prob. 14ECh. 23.5 - Prob. 15ECh. 23.5 - Prob. 16ECh. 23.5 - Prob. 17ECh. 23.5 - Prob. 18ECh. 23.5 - Prob. 19ECh. 23.5 - Prob. 20ECh. 23.5 - Prob. 21ECh. 23.5 - Prob. 22ECh. 23.5 - Prob. 23ECh. 23.5 - Prob. 24ECh. 23.5 - Prob. 25ECh. 23.5 - Prob. 26ECh. 23.5 - Prob. 27ECh. 23.5 - Prob. 28ECh. 23.5 - Prob. 29ECh. 23.5 - Prob. 30ECh. 23.5 - Prob. 31ECh. 23.5 - Prob. 32ECh. 23.5 - Prob. 33ECh. 23.5 - Prob. 34ECh. 23.5 - Prob. 35ECh. 23.5 - Prob. 36ECh. 23.5 - Prob. 37ECh. 23.5 - Prob. 38ECh. 23.5 - Prob. 39ECh. 23.5 - Prob. 40ECh. 23.5 - Prob. 41ECh. 23.5 - Prob. 42ECh. 23.5 - Prob. 43ECh. 23.5 - Prob. 44ECh. 23.5 - Prob. 45ECh. 23.5 - Prob. 46ECh. 23.5 - Prob. 47ECh. 23.5 - Prob. 48ECh. 23.5 - Prob. 49ECh. 23.5 - Prob. 50ECh. 23.5 - Prob. 51ECh. 23.5 - Prob. 52ECh. 23.5 - Prob. 53ECh. 23.5 - Prob. 54ECh. 23.5 - Prob. 55ECh. 23.5 - Prob. 56ECh. 23.6 - Find the derivative of . Do not multiply factors...Ch. 23.6 - Prob. 2PECh. 23.6 - Prob. 1ECh. 23.6 - Prob. 2ECh. 23.6 - Prob. 3ECh. 23.6 - Prob. 4ECh. 23.6 - Prob. 5ECh. 23.6 - Prob. 6ECh. 23.6 - Prob. 7ECh. 23.6 - Prob. 8ECh. 23.6 - Prob. 9ECh. 23.6 - Prob. 10ECh. 23.6 - Prob. 11ECh. 23.6 - Prob. 12ECh. 23.6 - Prob. 13ECh. 23.6 - Prob. 14ECh. 23.6 - Prob. 15ECh. 23.6 - Prob. 16ECh. 23.6 - Prob. 17ECh. 23.6 - Prob. 18ECh. 23.6 - Prob. 19ECh. 23.6 - Prob. 20ECh. 23.6 - Prob. 21ECh. 23.6 - Prob. 22ECh. 23.6 - Prob. 23ECh. 23.6 - Prob. 24ECh. 23.6 - Prob. 25ECh. 23.6 - Prob. 26ECh. 23.6 - Prob. 27ECh. 23.6 - Prob. 28ECh. 23.6 - Prob. 29ECh. 23.6 - Prob. 30ECh. 23.6 - Prob. 31ECh. 23.6 - Prob. 32ECh. 23.6 - Prob. 33ECh. 23.6 - Prob. 34ECh. 23.6 - Prob. 35ECh. 23.6 - Prob. 36ECh. 23.6 - Prob. 37ECh. 23.6 - Prob. 38ECh. 23.6 - Prob. 39ECh. 23.6 - Prob. 40ECh. 23.6 - Prob. 41ECh. 23.6 - Prob. 42ECh. 23.6 - Prob. 43ECh. 23.6 - Prob. 44ECh. 23.6 - In Exercises 33–58, solve the given problems by...Ch. 23.6 - Prob. 46ECh. 23.6 - Prob. 47ECh. 23.6 - Prob. 48ECh. 23.6 - Prob. 49ECh. 23.6 - Prob. 50ECh. 23.6 - Prob. 51ECh. 23.6 - Prob. 52ECh. 23.6 - Prob. 53ECh. 23.6 - Prob. 54ECh. 23.6 - Prob. 55ECh. 23.6 - Prob. 56ECh. 23.6 - Prob. 57ECh. 23.6 - Prob. 58ECh. 23.7 - Prob. 1PECh. 23.7 - Prob. 2PECh. 23.7 - Prob. 3PECh. 23.7 - Prob. 4PECh. 23.7 - Prob. 1ECh. 23.7 - Prob. 2ECh. 23.7 - Prob. 3ECh. 23.7 - Prob. 4ECh. 23.7 - Prob. 5ECh. 23.7 - Prob. 6ECh. 23.7 - Prob. 7ECh. 23.7 - Prob. 8ECh. 23.7 - Prob. 9ECh. 23.7 - Prob. 10ECh. 23.7 - Prob. 11ECh. 23.7 - Prob. 12ECh. 23.7 - Prob. 13ECh. 23.7 - Prob. 14ECh. 23.7 - Prob. 15ECh. 23.7 - Prob. 16ECh. 23.7 - Prob. 17ECh. 23.7 - Prob. 18ECh. 23.7 - Prob. 19ECh. 23.7 - In Exercises 5–32, find the derivative of each of...Ch. 23.7 - Prob. 21ECh. 23.7 - Prob. 22ECh. 23.7 - Prob. 23ECh. 23.7 - Prob. 24ECh. 23.7 - Prob. 25ECh. 23.7 - Prob. 26ECh. 23.7 - In Exercises 5–32, find the derivative of each of...Ch. 23.7 - Prob. 28ECh. 23.7 - Prob. 29ECh. 23.7 - Prob. 30ECh. 23.7 - In Exercises 5–32, find the derivative of each of...Ch. 23.7 - Prob. 32ECh. 23.7 - Prob. 33ECh. 23.7 - Prob. 34ECh. 23.7 - Prob. 35ECh. 23.7 - Prob. 36ECh. 23.7 - Prob. 37ECh. 23.7 - Prob. 38ECh. 23.7 - Prob. 39ECh. 23.7 - Prob. 40ECh. 23.7 - Prob. 41ECh. 23.7 - Prob. 42ECh. 23.7 - Prob. 43ECh. 23.7 - Prob. 44ECh. 23.7 - Prob. 45ECh. 23.7 - Prob. 46ECh. 23.7 - Prob. 47ECh. 23.7 - Prob. 48ECh. 23.7 - Prob. 49ECh. 23.7 - Prob. 50ECh. 23.7 - Prob. 51ECh. 23.7 - Prob. 52ECh. 23.7 - Prob. 53ECh. 23.7 - Prob. 54ECh. 23.7 - Prob. 55ECh. 23.7 - Prob. 56ECh. 23.7 - Prob. 57ECh. 23.7 - Prob. 58ECh. 23.8 - Prob. 1PECh. 23.8 - Prob. 1ECh. 23.8 - Prob. 2ECh. 23.8 - In Exercises 3–22, find dy/dx by differentiating...Ch. 23.8 - Prob. 4ECh. 23.8 - Prob. 5ECh. 23.8 - Prob. 6ECh. 23.8 - Prob. 7ECh. 23.8 - Prob. 8ECh. 23.8 - Prob. 9ECh. 23.8 - Prob. 10ECh. 23.8 - Prob. 11ECh. 23.8 - Prob. 12ECh. 23.8 - Prob. 13ECh. 23.8 - Prob. 14ECh. 23.8 - Prob. 15ECh. 23.8 - Prob. 16ECh. 23.8 - Prob. 17ECh. 23.8 - Prob. 18ECh. 23.8 - Prob. 19ECh. 23.8 - Prob. 20ECh. 23.8 - Prob. 21ECh. 23.8 - Prob. 22ECh. 23.8 - Prob. 23ECh. 23.8 - Prob. 24ECh. 23.8 - Prob. 25ECh. 23.8 - Prob. 26ECh. 23.8 - Prob. 27ECh. 23.8 - Prob. 28ECh. 23.8 - Prob. 29ECh. 23.8 - Prob. 30ECh. 23.8 - Prob. 31ECh. 23.8 - Prob. 32ECh. 23.8 - Prob. 33ECh. 23.8 - Prob. 34ECh. 23.8 - Prob. 35ECh. 23.8 - Prob. 36ECh. 23.8 - Prob. 37ECh. 23.8 - Prob. 38ECh. 23.8 - Prob. 39ECh. 23.8 - Prob. 40ECh. 23.8 - Prob. 41ECh. 23.8 - Prob. 42ECh. 23.8 - Prob. 43ECh. 23.8 - Prob. 44ECh. 23.9 - Prob. 1PECh. 23.9 - Prob. 2PECh. 23.9 - Prob. 1ECh. 23.9 - Prob. 2ECh. 23.9 - Prob. 3ECh. 23.9 - Prob. 4ECh. 23.9 - Prob. 5ECh. 23.9 - Prob. 6ECh. 23.9 - Prob. 7ECh. 23.9 - Prob. 8ECh. 23.9 - Prob. 9ECh. 23.9 - Prob. 10ECh. 23.9 - Prob. 11ECh. 23.9 - Prob. 12ECh. 23.9 - Prob. 13ECh. 23.9 - Prob. 14ECh. 23.9 - Prob. 15ECh. 23.9 - Prob. 16ECh. 23.9 - Prob. 17ECh. 23.9 - Prob. 18ECh. 23.9 - Prob. 19ECh. 23.9 - Prob. 20ECh. 23.9 - Prob. 21ECh. 23.9 - Prob. 22ECh. 23.9 - Prob. 23ECh. 23.9 - Prob. 24ECh. 23.9 - Prob. 25ECh. 23.9 - Prob. 26ECh. 23.9 - Prob. 27ECh. 23.9 - Prob. 28ECh. 23.9 - Prob. 29ECh. 23.9 - Prob. 30ECh. 23.9 - Prob. 31ECh. 23.9 - Prob. 32ECh. 23.9 - Prob. 33ECh. 23.9 - Prob. 34ECh. 23.9 - Prob. 35ECh. 23.9 - Prob. 36ECh. 23.9 - Prob. 37ECh. 23.9 - Prob. 38ECh. 23.9 - Prob. 39ECh. 23.9 - Prob. 40ECh. 23.9 - Prob. 41ECh. 23.9 - Prob. 42ECh. 23.9 - Prob. 43ECh. 23.9 - Prob. 44ECh. 23.9 - Prob. 45ECh. 23.9 - Prob. 46ECh. 23.9 - Prob. 47ECh. 23.9 - Prob. 48ECh. 23.9 - Prob. 49ECh. 23.9 - Prob. 50ECh. 23.9 - Prob. 51ECh. 23.9 - Prob. 52ECh. 23 - Prob. 1RECh. 23 - Prob. 2RECh. 23 - Prob. 3RECh. 23 - Prob. 4RECh. 23 - Prob. 5RECh. 23 - Prob. 6RECh. 23 - Prob. 7RECh. 23 - Prob. 8RECh. 23 - Prob. 9RECh. 23 - Prob. 10RECh. 23 - Prob. 11RECh. 23 - Prob. 12RECh. 23 - Prob. 13RECh. 23 - Prob. 14RECh. 23 - Prob. 15RECh. 23 - Prob. 16RECh. 23 - Prob. 17RECh. 23 - Prob. 18RECh. 23 - Prob. 19RECh. 23 - Prob. 20RECh. 23 - In Exercises 21–28, use the definition to find the...Ch. 23 - Prob. 22RECh. 23 - Prob. 23RECh. 23 - Prob. 24RECh. 23 - Prob. 25RECh. 23 - Prob. 26RECh. 23 - Prob. 27RECh. 23 - Prob. 28RECh. 23 - Prob. 29RECh. 23 - Prob. 30RECh. 23 - Prob. 31RECh. 23 - Prob. 32RECh. 23 - Prob. 33RECh. 23 - Prob. 34RECh. 23 - Prob. 35RECh. 23 - Prob. 36RECh. 23 - Prob. 37RECh. 23 - Prob. 38RECh. 23 - Prob. 39RECh. 23 - Prob. 40RECh. 23 - Prob. 41RECh. 23 - Prob. 42RECh. 23 - Prob. 43RECh. 23 - Prob. 44RECh. 23 - Prob. 45RECh. 23 - Prob. 46RECh. 23 - Prob. 47RECh. 23 - Prob. 48RECh. 23 - Prob. 49RECh. 23 - Prob. 50RECh. 23 - Prob. 51RECh. 23 - Prob. 52RECh. 23 - Prob. 53RECh. 23 - Prob. 54RECh. 23 - Prob. 55RECh. 23 - Prob. 56RECh. 23 - Prob. 57RECh. 23 - Prob. 58RECh. 23 - Prob. 59RECh. 23 - Prob. 60RECh. 23 - Prob. 61RECh. 23 - Prob. 62RECh. 23 - Prob. 63RECh. 23 - Prob. 64RECh. 23 - If $5000 is invested at interest rate i,...Ch. 23 - The temperature T (in °C) of a rotating machine...Ch. 23 - Prob. 67RECh. 23 - Prob. 68RECh. 23 - Prob. 69RECh. 23 - Prob. 70RECh. 23 - Prob. 71RECh. 23 - Prob. 72RECh. 23 - Prob. 73RECh. 23 - Prob. 74RECh. 23 - Prob. 75RECh. 23 - Prob. 76RECh. 23 - Prob. 77RECh. 23 - Prob. 78RECh. 23 - Prob. 79RECh. 23 - Prob. 80RECh. 23 - Prob. 81RECh. 23 - Prob. 82RECh. 23 - Prob. 83RECh. 23 - Prob. 84RECh. 23 - Prob. 85RECh. 23 - Prob. 86RECh. 23 - Prob. 87RECh. 23 - Prob. 88RECh. 23 - Prob. 89RECh. 23 - Prob. 90RECh. 23 - Prob. 91RECh. 23 - Prob. 92RECh. 23 - Prob. 93RECh. 23 - Prob. 94RECh. 23 - Prob. 95RECh. 23 - Prob. 96RECh. 23 - Prob. 97RECh. 23 - Prob. 98RECh. 23 - In Exercises 53–98, solve the given problems.
99....Ch. 23 - Prob. 1PTCh. 23 - Prob. 2PTCh. 23 - Prob. 3PTCh. 23 - Prob. 4PTCh. 23 - Prob. 5PTCh. 23 - Prob. 6PTCh. 23 - Prob. 7PTCh. 23 - Prob. 8PTCh. 23 - Prob. 9PTCh. 23 - Prob. 10PT
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