EBK DISCRETE MATHEMATICS: INTRODUCTION
11th Edition
ISBN: 9781133417071
Author: EPP
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 4.2, Problem 13ES
(a)
To determine
To find: The property using quantifier and variables.
(b)
To determine
To find: The statement is true or false.
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Find the Taylor polynomial T³(×) for the function f centered at the number a.
f(x) = xe-2x
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T3(x) =
538 Chapter 13
12. Given: Points E(-4, 1), F(2, 3), G(4, 9), and H(-2, 7)
a. Show that EFGH is a rhombus.
b. Use slopes to verify that the diagonals are
perpendicular.
13. Given: Points R(-4, 5), S(-1, 9), T(7, 3) and U(4, -1)
a. Show that RSTU is a rectangle.
b. Use the distance formula to verify that the diagonals are congruent.
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a. Show that NOPQ is an isosceles trapezoid.
b. Show that the diagonals are congruent.
Decide what special type of quadrilateral HIJK is. Then prove that your
answer is correct.
15. H(0, 0)
16. H(0, 1)
17. H(7, 5)
18. H(-3, -3)
I(5, 0)
I(2,-3)
1(8, 3)
I(-5, -6)
J(7, 9)
K(1, 9)
J(-2, -1)
K(-4, 3)
J(0, -1)
K(-1, 1)
J(4, -5)
K(6,-2)
19. Point N(3, - 4) lies on the circle x² +
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(Hint: Recall Theorem 9-1.)
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line that is tangent to the circle at N?
20. Point P(6, 7) lies on the circle (x + 2)² + (y − 1)² = 100. What is the
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Chapter 4 Solutions
EBK DISCRETE MATHEMATICS: INTRODUCTION
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Prob. 33ESCh. 4.6 - Prob. 34ESCh. 4.6 - Prob. 35ES
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