Maximum of a vector field [closed]
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Lets say a vector field represents the speed of a river
$$F = (-x/20, 20 - x^2 / 1000)quad 100 le x le 100$$
Find the $x$ and $y$ values of the maximum speed in the river.
The norm of the feild yeilds the length of a vector at any (x, y).
|F| = (x^4 - 37500x^2 + 400000000)^1/2 / 1000
the solution is (0, 20) because at x = 0 |F| is horizontal and a maximum.
Maximize this function.
vector-fields
asked Nov 12 at 20:49
SwimMaster
82
closed as off-topic by GNUSupporter 8964民主女神 地下教會, Morgan Rodgers, ArsenBerk, Chris Custer, Lee David Chung Lin Nov 13 at 2:08
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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – GNUSupporter 8964民主女神 地下教會, Morgan Rodgers, ArsenBerk, Chris Custer, Lee David Chung Lin
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
up vote
0
down vote
favorite
Lets say a vector field represents the speed of a river
$$F = (-x/20, 20 - x^2 / 1000)quad 100 le x le 100$$
Find the $x$ and $y$ values of the maximum speed in the river.
The norm of the feild yeilds the length of a vector at any (x, y).
|F| = (x^4 - 37500x^2 + 400000000)^1/2 / 1000
the solution is (0, 20) because at x = 0 |F| is horizontal and a maximum.
Maximize this function.
vector-fields
asked Nov 12 at 20:49
SwimMaster
82
closed as off-topic by GNUSupporter 8964民主女神 地下教會, Morgan Rodgers, ArsenBerk, Chris Custer, Lee David Chung Lin Nov 13 at 2:08
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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – GNUSupporter 8964民主女神 地下教會, Morgan Rodgers, ArsenBerk, Chris Custer, Lee David Chung Lin
If this question can be reworded to fit the rules in the help center, please edit the question.
1
Welcome to Math.SE. Please avoid posting question that consist merely of the problem statement and show us your work.
– GNUSupporter 8964民主女神 地下教會
Nov 12 at 20:52
Maybe it is convenient to indicate the components of $F$ by $F_x$ and $F_y$.
– gimusi
Nov 12 at 20:59
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Lets say a vector field represents the speed of a river
$$F = (-x/20, 20 - x^2 / 1000)quad 100 le x le 100$$
Find the $x$ and $y$ values of the maximum speed in the river.
The norm of the feild yeilds the length of a vector at any (x, y).
|F| = (x^4 - 37500x^2 + 400000000)^1/2 / 1000
the solution is (0, 20) because at x = 0 |F| is horizontal and a maximum.
Maximize this function.
vector-fields
asked Nov 12 at 20:49
SwimMaster
82
Lets say a vector field represents the speed of a river
$$F = (-x/20, 20 - x^2 / 1000)quad 100 le x le 100$$
Find the $x$ and $y$ values of the maximum speed in the river.
The norm of the feild yeilds the length of a vector at any (x, y).
|F| = (x^4 - 37500x^2 + 400000000)^1/2 / 1000
the solution is (0, 20) because at x = 0 |F| is horizontal and a maximum.
Maximize this function.
vector-fields
vector-fields
asked Nov 12 at 20:49
SwimMaster
82
asked Nov 12 at 20:49
SwimMaster
82
edited Nov 13 at 0:24
asked Nov 12 at 20:49
SwimMaster
82
asked Nov 12 at 20:49
SwimMaster
82
asked Nov 12 at 20:49
SwimMaster
82
82
closed as off-topic by GNUSupporter 8964民主女神 地下教會, Morgan Rodgers, ArsenBerk, Chris Custer, Lee David Chung Lin Nov 13 at 2:08
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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – GNUSupporter 8964民主女神 地下教會, Morgan Rodgers, ArsenBerk, Chris Custer, Lee David Chung Lin
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by GNUSupporter 8964民主女神 地下教會, Morgan Rodgers, ArsenBerk, Chris Custer, Lee David Chung Lin Nov 13 at 2:08
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 improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – GNUSupporter 8964民主女神 地下教會, Morgan Rodgers, ArsenBerk, Chris Custer, Lee David Chung Lin
If this question can be reworded to fit the rules in the help center, please edit the question.
1
Welcome to Math.SE. Please avoid posting question that consist merely of the problem statement and show us your work.
– GNUSupporter 8964民主女神 地下教會
Nov 12 at 20:52
Maybe it is convenient to indicate the components of $F$ by $F_x$ and $F_y$.
– gimusi
Nov 12 at 20:59
add a comment |
1
Welcome to Math.SE. Please avoid posting question that consist merely of the problem statement and show us your work.
– GNUSupporter 8964民主女神 地下教會
Nov 12 at 20:52
Maybe it is convenient to indicate the components of $F$ by $F_x$ and $F_y$.
– gimusi
Nov 12 at 20:59
1
1
Welcome to Math.SE. Please avoid posting question that consist merely of the problem statement and show us your work.
– GNUSupporter 8964民主女神 地下教會
Nov 12 at 20:52
Welcome to Math.SE. Please avoid posting question that consist merely of the problem statement and show us your work.
– GNUSupporter 8964民主女神 地下教會
Nov 12 at 20:52
Maybe it is convenient to indicate the components of $F$ by $F_x$ and $F_y$.
– gimusi
Nov 12 at 20:59
Maybe it is convenient to indicate the components of $F$ by $F_x$ and $F_y$.
– gimusi
Nov 12 at 20:59
add a comment |
1 Answer
1
active
oldest
votes
up vote
1
down vote
accepted
HINT
We have that for $F=(F_x,F_y)$
$$|F|=sqrt{F_x^2+F_y^2}$$
answered Nov 12 at 20:57
gimusi
85.5k74294
of so if i was to guess that would yield a function that i could maximize using standard maximization techniques of a function of 1 variable?
– SwimMaster
Nov 12 at 23:07
@SwimMaster Yes of course!
– gimusi
Nov 12 at 23:13
@SwimMaster Try to solve in that way and show your work editing your qeustion.
– gimusi
Nov 12 at 23:13
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
1
down vote
accepted
HINT
We have that for $F=(F_x,F_y)$
$$|F|=sqrt{F_x^2+F_y^2}$$
answered Nov 12 at 20:57
gimusi
85.5k74294
of so if i was to guess that would yield a function that i could maximize using standard maximization techniques of a function of 1 variable?
– SwimMaster
Nov 12 at 23:07
@SwimMaster Yes of course!
– gimusi
Nov 12 at 23:13
@SwimMaster Try to solve in that way and show your work editing your qeustion.
– gimusi
Nov 12 at 23:13
add a comment |
up vote
1
down vote
accepted
HINT
We have that for $F=(F_x,F_y)$
$$|F|=sqrt{F_x^2+F_y^2}$$
answered Nov 12 at 20:57
gimusi
85.5k74294
of so if i was to guess that would yield a function that i could maximize using standard maximization techniques of a function of 1 variable?
– SwimMaster
Nov 12 at 23:07
@SwimMaster Yes of course!
– gimusi
Nov 12 at 23:13
@SwimMaster Try to solve in that way and show your work editing your qeustion.
– gimusi
Nov 12 at 23:13
add a comment |
up vote
1
down vote
accepted
up vote
1
down vote
accepted
HINT
We have that for $F=(F_x,F_y)$
$$|F|=sqrt{F_x^2+F_y^2}$$
answered Nov 12 at 20:57
gimusi
85.5k74294
HINT
We have that for $F=(F_x,F_y)$
$$|F|=sqrt{F_x^2+F_y^2}$$
answered Nov 12 at 20:57
gimusi
85.5k74294
answered Nov 12 at 20:57
gimusi
85.5k74294
answered Nov 12 at 20:57
gimusi
85.5k74294
answered Nov 12 at 20:57
gimusi
85.5k74294
85.5k74294
of so if i was to guess that would yield a function that i could maximize using standard maximization techniques of a function of 1 variable?
– SwimMaster
Nov 12 at 23:07
@SwimMaster Yes of course!
– gimusi
Nov 12 at 23:13
@SwimMaster Try to solve in that way and show your work editing your qeustion.
– gimusi
Nov 12 at 23:13
add a comment |
of so if i was to guess that would yield a function that i could maximize using standard maximization techniques of a function of 1 variable?
– SwimMaster
Nov 12 at 23:07
@SwimMaster Yes of course!
– gimusi
Nov 12 at 23:13
@SwimMaster Try to solve in that way and show your work editing your qeustion.
– gimusi
Nov 12 at 23:13
of so if i was to guess that would yield a function that i could maximize using standard maximization techniques of a function of 1 variable?
– SwimMaster
Nov 12 at 23:07
of so if i was to guess that would yield a function that i could maximize using standard maximization techniques of a function of 1 variable?
– SwimMaster
Nov 12 at 23:07
@SwimMaster Yes of course!
– gimusi
Nov 12 at 23:13
@SwimMaster Yes of course!
– gimusi
Nov 12 at 23:13
@SwimMaster Try to solve in that way and show your work editing your qeustion.
– gimusi
Nov 12 at 23:13
@SwimMaster Try to solve in that way and show your work editing your qeustion.
– gimusi
Nov 12 at 23:13
add a comment |
1
Welcome to Math.SE. Please avoid posting question that consist merely of the problem statement and show us your work.
– GNUSupporter 8964民主女神 地下教會
Nov 12 at 20:52
Maybe it is convenient to indicate the components of $F$ by $F_x$ and $F_y$.
– gimusi
Nov 12 at 20:59