EXAMPLES FOR SECTIONS 13.3, 13.4, AND 13.5

Maple Worksheet on Partial Derivatives

Section 13.3 #40 (7e 36) DPGraph Picture of the surface and the plane.

Graph of the curve of intersection in the xz-coordinate plane Maple Picture

DPGraph Picture of the surface and the plane.

Graph of the curve of intersection in the yz-coordinate plane Maple Picture

This DPGraph Picture shows the surface intersecting the graph of the plane y = (4/3)x.  Maple Picture  What might this lead to?

Here is a Maple Worksheet related to the example above.  In the worksheet the point and the tangent line at the point have been added to each picture.

Total Differential Example   The two pictures at the right are both of the surface described by the function given above.  Notice the window given for each picture.

Implicit Differentiation Example  DPGraph of the Surface

Chain Rule Application DPGraph Picture of the expanding cylinder The radius of a cylinder is increasing at the rate of 2 meters/sec and the height is increasing at the rate of 3 meters/sec.  How fast is the volume of the cylinder increasing when the radius is 8 meters and the height is 11 meters?

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        Lane Vosbury, Math Chair, Seminole Community College   email:  vosburyl@scc-fl.edu

        This page was last updated on 10/08/08          Copyright 2002          webstats