evaluate: given $9<x<10$, if we take precision of $10^{-8}$ , will $x^2$ have precision of $10^{-7}$?...
i want to solve this problem: find if a given number $9 < x < 10$ with some precision of $8$ numbers after the floating point.
the problem is: if we take the square of $x$, will the result have precision of $10^{-7}$?
I tried solving this using $epsilon> 0$ and got a false result.
thank you.
calculus
edited Dec 7 at 15:47
gimusi
1
asked Dec 7 at 15:40
Yael
12
closed as off-topic by amWhy, Jyrki Lahtonen, Nosrati, Saad, DRF Dec 8 at 11:33
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Jyrki Lahtonen, Nosrati, Saad, DRF
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
i want to solve this problem: find if a given number $9 < x < 10$ with some precision of $8$ numbers after the floating point.
the problem is: if we take the square of $x$, will the result have precision of $10^{-7}$?
I tried solving this using $epsilon> 0$ and got a false result.
thank you.
calculus
edited Dec 7 at 15:47
gimusi
1
asked Dec 7 at 15:40
Yael
12
closed as off-topic by amWhy, Jyrki Lahtonen, Nosrati, Saad, DRF Dec 8 at 11:33
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Jyrki Lahtonen, Nosrati, Saad, DRF
If this question can be reworded to fit the rules in the help center, please edit the question.
Could you please add some detail more on your derivation? Thanks
– gimusi
Dec 7 at 15:49
add a comment |
i want to solve this problem: find if a given number $9 < x < 10$ with some precision of $8$ numbers after the floating point.
the problem is: if we take the square of $x$, will the result have precision of $10^{-7}$?
I tried solving this using $epsilon> 0$ and got a false result.
thank you.
calculus
edited Dec 7 at 15:47
gimusi
1
asked Dec 7 at 15:40
Yael
12
i want to solve this problem: find if a given number $9 < x < 10$ with some precision of $8$ numbers after the floating point.
the problem is: if we take the square of $x$, will the result have precision of $10^{-7}$?
I tried solving this using $epsilon> 0$ and got a false result.
thank you.
calculus
calculus
edited Dec 7 at 15:47
gimusi
1
asked Dec 7 at 15:40
Yael
12
edited Dec 7 at 15:47
gimusi
1
asked Dec 7 at 15:40
Yael
12
edited Dec 7 at 15:47
gimusi
1
edited Dec 7 at 15:47
gimusi
1
edited Dec 7 at 15:47
gimusi
1
1
asked Dec 7 at 15:40
Yael
12
asked Dec 7 at 15:40
Yael
12
asked Dec 7 at 15:40
Yael
12
12
closed as off-topic by amWhy, Jyrki Lahtonen, Nosrati, Saad, DRF Dec 8 at 11:33
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Jyrki Lahtonen, Nosrati, Saad, DRF
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by amWhy, Jyrki Lahtonen, Nosrati, Saad, DRF Dec 8 at 11:33
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, Jyrki Lahtonen, Nosrati, Saad, DRF
If this question can be reworded to fit the rules in the help center, please edit the question.
Could you please add some detail more on your derivation? Thanks
– gimusi
Dec 7 at 15:49
add a comment |
Could you please add some detail more on your derivation? Thanks
– gimusi
Dec 7 at 15:49
Could you please add some detail more on your derivation? Thanks
– gimusi
Dec 7 at 15:49
Could you please add some detail more on your derivation? Thanks
– gimusi
Dec 7 at 15:49
add a comment |
1 Answer
1
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oldest
votes
HINT
Let consider
$$x=x_0+Delta x implies x^2=x_0^2+2x_0Delta x +Delta x^2$$
answered Dec 7 at 15:43
gimusi
1
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
HINT
Let consider
$$x=x_0+Delta x implies x^2=x_0^2+2x_0Delta x +Delta x^2$$
answered Dec 7 at 15:43
gimusi
1
add a comment |
HINT
Let consider
$$x=x_0+Delta x implies x^2=x_0^2+2x_0Delta x +Delta x^2$$
answered Dec 7 at 15:43
gimusi
1
add a comment |
HINT
Let consider
$$x=x_0+Delta x implies x^2=x_0^2+2x_0Delta x +Delta x^2$$
answered Dec 7 at 15:43
gimusi
1
HINT
Let consider
$$x=x_0+Delta x implies x^2=x_0^2+2x_0Delta x +Delta x^2$$
answered Dec 7 at 15:43
gimusi
1
answered Dec 7 at 15:43
gimusi
1
answered Dec 7 at 15:43
gimusi
1
answered Dec 7 at 15:43
gimusi
1
1
add a comment |
add a comment |
Could you please add some detail more on your derivation? Thanks
– gimusi
Dec 7 at 15:49