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Calculus III - Valencia Collegefaculty.valenciacollege.edu/ivandecar/calculus III/MAC 2313 Class...

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http://www.nws.noaa.gov/om/windchill/
Transcript

http://www.nws.noaa.gov/om/windchill/

3-D Coordinate System

3-D Coordinate System

Contour Map

• How thick is the earth’s crust?

• http://earthquake.usgs.gov/research/structure/crust/index.php

Contour Map

From http://ftp.goldensoftware.com/products/grapher/grapher-contourmaps.shtml

Level Curve

From http://mathinsight.org/level_sets

From http://etc.usf.edu/clipart/46200/46290/46290_contour_map.htm

Unit vectors along the axes

From http://www.math.rutgers.edu/~greenfie/mill_courses/math251/diary.html

Parallel and Perpendicular Components

• From http://www.engineeringtoolbox.com/inclined-planes-forces-d_1305.html

Parallelepiped

From http://mathinsight.org/image/volume_parallelepiped

𝑃 = 𝑃(𝑡, 𝐸) (millimeters of mercury)

From http://www.math.ucsd.edu/~ashenk/Section14_3.pdf

Estimating partial derivatives from a contour diagram

From http://math.ucsd.edu/~wgarner/reference/math10c_su10/lectures/partial_derivatives.pdf

Estimating partial derivatives from a contour diagram

From http://math.ucsd.edu/~wgarner/reference/math10c_su10/lectures/partial_derivatives.pdf


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