- Your Lagrange homework is returned: graded 1, 12, 27
- #1: if it says "Explain" I mean it! Please do....
- Well done if you mentioned symmetry somewhere in #12....
- You have to be careful about not dividing by 0 in #12....
- We will have a quiz at the end of the hour.
- I hope that you have a great spring break!
- Integrate a plane over a rectangular region and what do you get?
Let $f(x,y)=a+mx+ny$
and consider the rectangle $[0,1]\times[0,1]$.
- Compute $\int_{0}^1\int_{0}^1f(x,y)dxdy$. Remember that the
integral of a sum is still the sum of the integrals...
- Compute the trapezoidal approximation, using the corners.
- Compute the midpoint approximation, using the center point.
- Which method is best? (trick question!)
- Compute $\int_{0}^1\int_{0}^1f(x,y)dxdy$. Remember that the
integral of a sum is still the sum of the integrals...
- Graph #15, p. 1011, from yesterday, and observe why the integral
works out to be zero.
- Some homework help for section
15.1. Use this file to check our results from yesterday:
- Suppose the figure below represents depths. Produce an
average value over the 3x4 regions in the center the image:
In Example 4, we turned contour into grid: could you turn this grid into a contour map?
- Suppose the figure below represents depths. Produce an
average value over the 3x4 regions in the center the image:
- Take a look at some more 15.2 Examples
