Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 11.5, Problem 3PE
To determine
The value of the expression
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Chapter 11 Solutions
Basic Technical Mathematics
Ch. 11.1 - Simplify: a(x−1y3)2
Ch. 11.1 - Simplify:
Ch. 11.1 - Prob. 3PECh. 11.1 - Simplify: (3a)−1 − 3a−2
Ch. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...
Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 8ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 10ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 12ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 14ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 16ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 20ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 22ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 24ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 26ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 28ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 34ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 36ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 38ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.1 - Prob. 55ECh. 11.1 - Prob. 56ECh. 11.1 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Prob. 61ECh. 11.1 - Prob. 62ECh. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Prob. 65ECh. 11.1 - Prob. 66ECh. 11.1 - Prob. 67ECh. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Prob. 71ECh. 11.1 - Prob. 72ECh. 11.1 - Prob. 73ECh. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Prob. 76ECh. 11.1 - Prob. 77ECh. 11.1 - Prob. 78ECh. 11.2 - Prob. 1PECh. 11.2 - Prob. 2PECh. 11.2 - Prob. 3PECh. 11.2 - Prob. 4PECh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - Prob. 47ECh. 11.2 - In Exercises 31-54, simplify the given...Ch. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - Prob. 55ECh. 11.2 - Prob. 56ECh. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Prob. 64ECh. 11.2 - Prob. 65ECh. 11.2 - Prob. 66ECh. 11.2 - Prob. 67ECh. 11.2 - Prob. 68ECh. 11.2 - Prob. 69ECh. 11.2 - Prob. 70ECh. 11.2 - Prob. 71ECh. 11.2 - Prob. 72ECh. 11.3 - Simplify:
Ch. 11.3 - Prob. 2PECh. 11.3 - Prob. 3PECh. 11.3 - Prob. 4PECh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 10ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 18ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 23ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 27ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - Prob. 55ECh. 11.3 - Prob. 56ECh. 11.3 - Prob. 57ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 59ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.3 - Prob. 64ECh. 11.3 - Prob. 65ECh. 11.3 - Prob. 66ECh. 11.3 - Prob. 67ECh. 11.3 - Prob. 68ECh. 11.3 - Prob. 69ECh. 11.3 - Prob. 70ECh. 11.3 - Prob. 71ECh. 11.3 - Prob. 72ECh. 11.3 - Prob. 73ECh. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.3 - Prob. 76ECh. 11.4 - Prob. 1PECh. 11.4 - Prob. 2PECh. 11.4 - Prob. 3PECh. 11.4 - In Exercises 1 and 2, simplify the resulting...Ch. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Prob. 38ECh. 11.4 - Prob. 39ECh. 11.4 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - In Exercises 43–48, express each radical in...Ch. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 11.4 - Prob. 49ECh. 11.4 - Prob. 50ECh. 11.4 - Prob. 51ECh. 11.4 - Prob. 52ECh. 11.4 - Prob. 53ECh. 11.4 - In Exercises 49–56, solve the given problems.
54....Ch. 11.4 - In Exercises 49–56, solve the given problems.
55....Ch. 11.4 - Prob. 56ECh. 11.5 - Prob. 1PECh. 11.5 - Prob. 2PECh. 11.5 - Prob. 3PECh. 11.5 - Prob. 4PECh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - Prob. 33ECh. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - Prob. 40ECh. 11.5 - Prob. 41ECh. 11.5 - Prob. 42ECh. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11.5 - Prob. 47ECh. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - Prob. 50ECh. 11.5 - Prob. 51ECh. 11.5 - Prob. 52ECh. 11.5 - Prob. 53ECh. 11.5 - Prob. 54ECh. 11.5 - Prob. 55ECh. 11.5 - Prob. 56ECh. 11.5 - Prob. 57ECh. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.5 - Prob. 66ECh. 11.5 - Prob. 67ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - Prob. 71ECh. 11.5 - Prob. 72ECh. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.5 - Prob. 75ECh. 11.5 - Prob. 76ECh. 11 - Prob. 1RECh. 11 - Determine each of the following as being either...Ch. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - In Exercises 7–34, express each expression in...Ch. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - In Exercises 7-34, express each expression in...Ch. 11 - In Exercises 7-34, express each expression in...Ch. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - In Exercises 7-34, express each expression in...Ch. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Prob. 64RECh. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - Prob. 69RECh. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Prob. 73RECh. 11 - Prob. 74RECh. 11 - Prob. 75RECh. 11 - Prob. 76RECh. 11 - Prob. 77RECh. 11 - Prob. 78RECh. 11 - Prob. 79RECh. 11 - Prob. 80RECh. 11 - Prob. 81RECh. 11 - Prob. 82RECh. 11 - Prob. 83RECh. 11 - Prob. 84RECh. 11 - Prob. 85RECh. 11 - Prob. 86RECh. 11 - Prob. 87RECh. 11 - Prob. 88RECh. 11 - Prob. 89RECh. 11 - Prob. 90RECh. 11 - Prob. 91RECh. 11 - Prob. 92RECh. 11 - Prob. 93RECh. 11 - Prob. 94RECh. 11 - Prob. 95RECh. 11 - Prob. 96RECh. 11 - Prob. 97RECh. 11 - Prob. 98RECh. 11 - Prob. 99RECh. 11 - Prob. 100RECh. 11 - Prob. 101RECh. 11 - Prob. 102RECh. 11 - Prob. 103RECh. 11 - Prob. 104RECh. 11 - Prob. 105RECh. 11 - Prob. 106RECh. 11 - Prob. 107RECh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PT
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- (1) (4 points) Give a parametrization c: R R³ of the line through the points P = (1,0,-1) and Q = (-2, 0, 1).arrow_forward7. Show that for R sufficiently large, the polynomial P(z) in Example 3, Sec. 5, satisfies the inequality |P(z)| R. Suggestion: Observe that there is a positive number R such that the modulus of each quotient in inequality (9), Sec. 5, is less than |an|/n when |z| > R.arrow_forward9. Establish the identity 1- 1+z+z² + 2n+1 ... +z" = 1- z (z1) and then use it to derive Lagrange's trigonometric identity: 1 1+ cos cos 20 +... + cos no = + 2 sin[(2n+1)0/2] 2 sin(0/2) (0 < 0 < 2л). Suggestion: As for the first identity, write S = 1+z+z² +...+z" and consider the difference S - zS. To derive the second identity, write z = eie in the first one.arrow_forward
- 8. Prove that two nonzero complex numbers z₁ and Z2 have the same moduli if and only if there are complex numbers c₁ and c₂ such that Z₁ = c₁C2 and Z2 = c1c2. Suggestion: Note that (i≤ exp (101+0) exp (01-02) and [see Exercise 2(b)] 2 02 Ꮎ - = = exp(i01) exp(101+0) exp (i 01 - 02 ) = exp(102). i 2 2arrow_forwardnumerical anaarrow_forward13. If X has the distribution function F(x) = 0 1 12 for x < -1 for -1x < 1 for 1x <3 2 3 for 3≤x≤5 4 1 for x≥5 find (a) P(X ≤3); (b) P(X = 3); (c) P(X < 3); (d) P(X≥1); (e) P(-0.4arrow_forwardTwo measurements are made of some quantity. For the first measurement, the average is 74.4528, the RMS error is 6.7441, and the uncertainty of the mean is 0.9264. For the second one, the average is 76.8415, the standard deviation is 8.3348, and the uncertainty of the mean is 1.1448. The expected value is exactly 75. 13. Express the first measurement in public notation. 14. Is there a significant difference between the two measurements? 1 15. How does the first measurement compare with the expected value? 16. How does the second measurement compare with the expected value?arrow_forwardNo chatgpt pls will upvote Already got wrong chatgpt answer .arrow_forwardIf you use any chatgpt will downvote.arrow_forwardPlease help I'm a working mom trying to help my son last minute (6th grader)! Need help with the blank ones and check the ones he got with full calculation so we can use it to study! Especially the mixed number fractions cause I'm rusty. Thanks in advance!arrow_forward|| 38 5층-11- 6 4 7 2 6arrow_forward4. Consider the initial value problem y' = 3x(y-1) 1/3, y(xo) = yo. (a) For what points (co, yo) does the IVP have a solution? (b) For what points (xo, yo) does the IVP have a unique solution on some open interval that contains 20? (c) Solve the IVP y' = 3x(y-1) 1/3, y(0) = 9 and determine the largest open interval on which this solution is unique.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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