Mixing
Surface Integral Proof
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First of all, this is a homework question but my course textbook was not helpful and I couldn't find any similar material online so I thought it was fair to ask it on MSE.
Here is the question:
Photo
I am having trouble understanding what it is asking... in particular, what exactly is "u" and how should I begin this proof?
Any help would be much appreciated,
Thank you!
calculus
asked yesterday
Thomas
11
add a comment |
up vote
0
down vote
favorite
First of all, this is a homework question but my course textbook was not helpful and I couldn't find any similar material online so I thought it was fair to ask it on MSE.
Here is the question:
Photo
I am having trouble understanding what it is asking... in particular, what exactly is "u" and how should I begin this proof?
Any help would be much appreciated,
Thank you!
calculus
asked yesterday
Thomas
11
Which part of "Suppose $uin C^1(B_1)$" is difficult for you?
– John Douma
yesterday
I haven't seen that notation before so I'm not sure what it means, I'm guessing it means any point inside the ball of radius < 1?
– Thomas
yesterday
Your instructor should have told you what a $C^1$ function is. In this case, $u$ is not a point in the disk; it is a function on the disk whose first first derivative is continuous. Likewise, in part b, a $C^2$ function is a function whose second derivative is continuous.
– John Douma
yesterday
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
First of all, this is a homework question but my course textbook was not helpful and I couldn't find any similar material online so I thought it was fair to ask it on MSE.
Here is the question:
Photo
I am having trouble understanding what it is asking... in particular, what exactly is "u" and how should I begin this proof?
Any help would be much appreciated,
Thank you!
calculus
asked yesterday
Thomas
11
First of all, this is a homework question but my course textbook was not helpful and I couldn't find any similar material online so I thought it was fair to ask it on MSE.
Here is the question:
Photo
I am having trouble understanding what it is asking... in particular, what exactly is "u" and how should I begin this proof?
Any help would be much appreciated,
Thank you!
calculus
calculus
asked yesterday
Thomas
11
asked yesterday
Thomas
11
asked yesterday
Thomas
11
asked yesterday
Thomas
11
asked yesterday
Thomas
11
11
Which part of "Suppose $uin C^1(B_1)$" is difficult for you?
– John Douma
yesterday
I haven't seen that notation before so I'm not sure what it means, I'm guessing it means any point inside the ball of radius < 1?
– Thomas
yesterday
Your instructor should have told you what a $C^1$ function is. In this case, $u$ is not a point in the disk; it is a function on the disk whose first first derivative is continuous. Likewise, in part b, a $C^2$ function is a function whose second derivative is continuous.
– John Douma
yesterday
add a comment |
Which part of "Suppose $uin C^1(B_1)$" is difficult for you?
– John Douma
yesterday
I haven't seen that notation before so I'm not sure what it means, I'm guessing it means any point inside the ball of radius < 1?
– Thomas
yesterday
Your instructor should have told you what a $C^1$ function is. In this case, $u$ is not a point in the disk; it is a function on the disk whose first first derivative is continuous. Likewise, in part b, a $C^2$ function is a function whose second derivative is continuous.
– John Douma
yesterday
Which part of "Suppose $uin C^1(B_1)$" is difficult for you?
– John Douma
yesterday
Which part of "Suppose $uin C^1(B_1)$" is difficult for you?
– John Douma
yesterday
I haven't seen that notation before so I'm not sure what it means, I'm guessing it means any point inside the ball of radius < 1?
– Thomas
yesterday
I haven't seen that notation before so I'm not sure what it means, I'm guessing it means any point inside the ball of radius < 1?
– Thomas
yesterday
Your instructor should have told you what a $C^1$ function is. In this case, $u$ is not a point in the disk; it is a function on the disk whose first first derivative is continuous. Likewise, in part b, a $C^2$ function is a function whose second derivative is continuous.
– John Douma
yesterday
Your instructor should have told you what a $C^1$ function is. In this case, $u$ is not a point in the disk; it is a function on the disk whose first first derivative is continuous. Likewise, in part b, a $C^2$ function is a function whose second derivative is continuous.
– John Douma
yesterday
add a comment |
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Which part of "Suppose $uin C^1(B_1)$" is difficult for you?
– John Douma
yesterday
I haven't seen that notation before so I'm not sure what it means, I'm guessing it means any point inside the ball of radius < 1?
– Thomas
yesterday
Your instructor should have told you what a $C^1$ function is. In this case, $u$ is not a point in the disk; it is a function on the disk whose first first derivative is continuous. Likewise, in part b, a $C^2$ function is a function whose second derivative is continuous.
– John Douma
yesterday