18.02 HOMEWORK #7, DUE THURSDAY OCTOBER 27
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edwards &
18.02 HOMEWORK #9, DUE THURSDAY NOVEMBER 10
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edwards &
18.02 HOMEWORK #2, DUE THURSDAY SEPTEMBER 22
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edwards
18.02 HOMEWORK #8, DUE THURSDAY NOVEMBER 3
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edwards &
18.02 HOMEWORK #3, DUE THURSDAY SEPTEMBER 29TH
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edward
18.02 HOMEWORK #5, DUE THURSDAY OCTOBER 13
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edwards &
18.02 HOMEWORK #6, DUE THURSDAY OCTOBER 20
The homework exercises are divided into two groups:
practice exercises that you should do but are not to be handed in.
graded exercises that you turn in and will be graded.
Numbers like 12.1 refer to Edwards &
18.02A IAP 2010: Solutions Problem Set 8 Part II Problem 1.a)
Using
@ @x
x = 1
3
3x2 +4 3
and similarly for y and z , we compute that
3 3(x2 + y 2 + z 2 ) r F = GM 3 + =0 4
except at (0; 0; 0), where = 0, and the divergence is undened. xi+yj+z k . b) L
18.02A IAP 2010: Solutions Problem Set 7 Part II (30 points) Problem 1. We use cylindrical coordinates: x = r cos , y = r sin , and z , where in our case 0 z y/2 = (r sin )/2, from which we get y 0, i.e., 0 . From x2 + y 2 1 we get r 1. Then the mass of t
18.02A IAP 2010: Solutions Problem Set 6 version January 15, 2010 Part II (35 points) Problem 1. F = 3xy 2 i y 3 j. We assume C1 and C2 do not cross. Let Cx and Cy be the horizontal and vertical curves joining the starting point and endpoint of C1 and C2