EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Textbook Question
Chapter 58, Problem 7A
Find the unknown area, base, or height for each of the triangles 7 through 18. Where necessary, round the answers to 1 decimal place.
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Students have asked these similar questions
7. 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.
9. 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.
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
2
Chapter 58 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 58 - Find the area of this figure. Round your answer to...Ch. 58 - Prob. 2ACh. 58 - The four holes in the figure are 0.8 cm in...Ch. 58 - Prob. 4ACh. 58 - Prob. 5ACh. 58 - Prob. 6ACh. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...
Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Find the unknown area, base, or height for each of...Ch. 58 - Given three side, find the area of each of the...Ch. 58 - Given three side, find the area of each of the...Ch. 58 - Given three side, find the area of each of the...Ch. 58 - Given three side, find the area of each of the...Ch. 58 - Given three side, find the area of each of the...Ch. 58 - Given three side, find the area of each of the...Ch. 58 - Given three side, find the area of each of the...Ch. 58 - Given three side, find the area of each of the...Ch. 58 - Solve these exercises. Find the cross-sectional...Ch. 58 - Solve these exercises. Two triangular pieces are...Ch. 58 - Solve these exercises. Determine the area of the...Ch. 58 - Solve these exercises. Find the area of the...Ch. 58 - Solve these exercises. The area of the irregularly...
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