calculus iii - valencia collegefaculty.valenciacollege.edu/ivandecar/calculus iii/mac 2313 class...
TRANSCRIPT
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
Angle between two planes
From http://www.astarmathsandphysics.com/a_level_maths_notes/FP4/a_level_maths_notes_fp4_the_angle_between_two_planes.html
Distance between a point and a plane
From http://17calculus.com/calc11-lines-planes.php
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