Section 12.3: Problem 8

Hi Professor,
I'm not sure why my approach is incorrect. I appreciate the direction in advance!

Thanks,

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Well, the positive direction in theta is counter clockwise, but limits of integration going from π/2 to -π/2 is backwards, so your your limits of integration mean that you're going backwards in the right half plane 

Lecture Notes 2/25/19 through 3/25/19

Lecture Notes 2/25/19

Lecture Notes 2/27/19

Lecture Notes 3/20/19

Lecture Notes 3/22/19

Lecture Notes 3/25/19

Scores and estimated final grade as of 3/24/19

Worksheet

(for those of you who couldn't attend today's field trip)
The link below includes a topo map of Camelback Mountain.  Get out your ruler to estimate horizontal (i.e. non vertical) distances, and your protractor to estimate angles.
1) estimate the magnitude and direction of the gradient vector at the red "x"s, direction in degrees from the right hand x-axis.
2) locate the local max's (hint: there are a lot of them) on the map, as well as the saddle points.
I'll be asking questions on the Monday after Spring Break.

Worksheet

PS: those who went on the field trip can also benefit from this work sheet.

Some thoughts for the field trip today

Hi Dr.Taylor,

I just wanted to double check with you that we should be meeting at the trail head of A mountain for todays hike correct? Which trailhead is on the corner of veterans way and and college ave ?

Thanks ,

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Correct!

Here are some images you may want to save on your phone for today.