Assume all cells not shown begin blank. A downwards arrow indicates the contents from the cell above will be copied down. X f(x) A B 1 0 ? 2 0.01 ↓ 3 0.02 4 0.03 ↓ ↓ ↓ 6 0.05 ↓ 5 0.04 678 7 0.06 +- ↓ ↓ ↓ a) A1 has 0 entered into it, and you want to generate the rest of the entries in column A. You will type something into A2, and copy it down to A3, A4, A5, and A6. What should you type into A2? Select the best answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Assume all cells not shown begin blank. A downwards arrow indicates the contents from the cell above will be copied down.
f(x)
O=0+0.01
O=A2+0.01
O A2+0.01
O 0+0.01
O=0.01
X
A
1
0
2
0.01
3
0.02
4
0.03
5 0.04
6
0.05
7
0.06
8
A1+0.01
O A2=0.01
O A1=0.01
O=A1+0.01
O A2-A1+0.01
BC
?
↓
↓
↓
↓
↓
a) A1 has 0 entered into it, and you want to generate the rest of the entries in column A. You will type something into A2, and copy it
down to A3, A4, A5, and A6. What should you type into A2? Select the best answer.
↓
↓
Transcribed Image Text:Assume all cells not shown begin blank. A downwards arrow indicates the contents from the cell above will be copied down. f(x) O=0+0.01 O=A2+0.01 O A2+0.01 O 0+0.01 O=0.01 X A 1 0 2 0.01 3 0.02 4 0.03 5 0.04 6 0.05 7 0.06 8 A1+0.01 O A2=0.01 O A1=0.01 O=A1+0.01 O A2-A1+0.01 BC ? ↓ ↓ ↓ ↓ ↓ a) A1 has 0 entered into it, and you want to generate the rest of the entries in column A. You will type something into A2, and copy it down to A3, A4, A5, and A6. What should you type into A2? Select the best answer. ↓ ↓
b) In collumn B, we want to generate values for f(x), what formula should be written in cell B1 and then be copied down to the cells
below?
=A2^3+2*A2^2-3 *A2+2
x^3+2x^2-3 x +2
O=B1^3+2*B1^2-3 *B1 +2
O=x^3+2x^2-3 x +2
A1^3+2*A1^2-3 *A1 +2
=A1^3+2*A1^2-3 *A1 +2
c) Use your spreadsheet to estimate the value of x in the interval [0, 1] for which f(x) assumes it's minimum value. Give your answer
correct to 2 decimal places.
Transcribed Image Text:b) In collumn B, we want to generate values for f(x), what formula should be written in cell B1 and then be copied down to the cells below? =A2^3+2*A2^2-3 *A2+2 x^3+2x^2-3 x +2 O=B1^3+2*B1^2-3 *B1 +2 O=x^3+2x^2-3 x +2 A1^3+2*A1^2-3 *A1 +2 =A1^3+2*A1^2-3 *A1 +2 c) Use your spreadsheet to estimate the value of x in the interval [0, 1] for which f(x) assumes it's minimum value. Give your answer correct to 2 decimal places.
Expert Solution
Step 1

The table given is as follows:

Advanced Math homework question answer, step 1, image 1

(a) We are asked to find a formula to generate numbers as given in column A.

Since the values are in form of a sequence and depend on the previous value, we will first find the common difference.

We see that the common difference is 0.01.

The value in the 4th row is 0.03 which can be written as 0.02+0.01. This can also be written as A3+0.01.

We will include "=" in the beginning of the formula to indicate what we enter in the cell is a formula and not a value.

Hence, the formula that should be entered in the cell A2 is  =A1+0.01  which is the last second option in the choices given.

The solution is as follows:

Advanced Math homework question answer, step 1, image 2

steps

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