Select the following equations that are true.1² + 2² + 3² +4² + ... + 100²1 1011 0 1+10 1 1101+1+1+ ++ill1414-4-42 35 6-5-...-5+2 35 6-1024-6== 5050²=-2--1024-325-4 01102436-5-36-647-

Given 1. 12+22+32+42+⋯+1002=50502 2. 111011101+123456-4-5-6=234467-3-5-5 3.…

Answered: Select the following equations that are…

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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Related questions

Question

Select the following equations that are true.
1² + 2² + 3² +4² + ... + 100²
1 1
01
1 0 1
+
1
0 1 1
10
1+1+1+ ++
ill
1
4
1
4
-4
-4
2 3
5 6
-5
-
...
-5
+
2 3
5 6
-
1024
-6
=
= 5050²
=
-
2
--
1
0
2
4
-3
2
5
-4 0
1
1024
3
6
-5
-
3
6
-
6
4
7
-

Expert Solution

Step 1

Given

1. $1^{2} + 2^{2} + 3^{2} + 4^{2} + \dots + 100^{2} = 5050^{2}$

2. $[\begin{matrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \end{matrix}] + [\begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ - 4 & - 5 & - 6 \end{matrix}] = [\begin{matrix} 2 & 3 & 4 \\ 4 & 6 & 7 \\ - 3 & - 5 & - 5 \end{matrix}]$

3. $1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \dots + \frac{1}{1024} = 2 - \frac{1}{1024}$

4. $[\begin{matrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \end{matrix}] [\begin{matrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ - 4 & - 5 & - 6 \end{matrix}] = [\begin{matrix} 1 & 2 & 3 \\ 0 & 5 & 6 \\ - 4 & 0 & - 6 \end{matrix}]$