58. 10 (k² - 4k+7)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer question 58. Use summation equations. please write out the steps and describe in detail what you are doing during each step.
56. 2965
58. 217
- 0+1+2;0
-1)+(-2): 0
-5+7; 15
; -2
-14
17/12
++ };-/
00+ 91; 426
on can be
actoring and
out the common
4.5+ 8.5; 10
: 24
36; 56
7.5 + 17.5; 26
1:-105
22-230
76. 100
78. 3,251,250
30. 115
82. -58
84. 973
hot l
11.1 Sequences and Series 10
Use a graphing calculator to evaluate each series. See Example 4.
10
55.
(4i² - 5)
56. Σ (i3 – 6)
10
57.
(3)
(3j-j2)
58.
Σ (k2 – 4k + 1)
Write the terms for each series and evaluate the sum, given that x₁ = -2, x₂ = -1, x3 =
X4 = 1, and xs = 2. See Examples 5(a) and 5(b).
5
S
59.
X₁
60.
61.
(2x₁ +3)
62. Σ(-3x; -2)
63.
(3x₁ - x²)
64.
(x₁² + x₁)
i=1
65.
x+1
66.
X1
1x₁ +3
67.
x³ + 1000
1=2 x₁ + 2
*; + 10
68. How can factoring make the work in Exercises 21, 22, and 67 easier?
Write the terms of f(x₁) Ax, with x₁ = 0, x₂ = 2, x3 = 4, x4 = 6, and Ax = 0.5,
each function. Evaluate the sum. See Example 5(c).
69. f(x) = 4x - 7
71. f(x)=2x2
70. f(x) = 6 + 2x
-2
x + 1
72. f(x)=x²-1
73. f(x) =
74. f(x) =
=
5
2x - 1
Use the summation properties and rules to evaluate each series. See Examples 6 and 7
50
100
20
15
75.
2/³
6
76. ,5
77.
18. Σ
12
Σ
Transcribed Image Text:56. 2965 58. 217 - 0+1+2;0 -1)+(-2): 0 -5+7; 15 ; -2 -14 17/12 ++ };-/ 00+ 91; 426 on can be actoring and out the common 4.5+ 8.5; 10 : 24 36; 56 7.5 + 17.5; 26 1:-105 22-230 76. 100 78. 3,251,250 30. 115 82. -58 84. 973 hot l 11.1 Sequences and Series 10 Use a graphing calculator to evaluate each series. See Example 4. 10 55. (4i² - 5) 56. Σ (i3 – 6) 10 57. (3) (3j-j2) 58. Σ (k2 – 4k + 1) Write the terms for each series and evaluate the sum, given that x₁ = -2, x₂ = -1, x3 = X4 = 1, and xs = 2. See Examples 5(a) and 5(b). 5 S 59. X₁ 60. 61. (2x₁ +3) 62. Σ(-3x; -2) 63. (3x₁ - x²) 64. (x₁² + x₁) i=1 65. x+1 66. X1 1x₁ +3 67. x³ + 1000 1=2 x₁ + 2 *; + 10 68. How can factoring make the work in Exercises 21, 22, and 67 easier? Write the terms of f(x₁) Ax, with x₁ = 0, x₂ = 2, x3 = 4, x4 = 6, and Ax = 0.5, each function. Evaluate the sum. See Example 5(c). 69. f(x) = 4x - 7 71. f(x)=2x2 70. f(x) = 6 + 2x -2 x + 1 72. f(x)=x²-1 73. f(x) = 74. f(x) = = 5 2x - 1 Use the summation properties and rules to evaluate each series. See Examples 6 and 7 50 100 20 15 75. 2/³ 6 76. ,5 77. 18. Σ 12 Σ
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