MATB41 Tutorial Notes
Professor: E. Moore
Typed by: Daniel Addams (2010-2011 President, AMACSS)
Ex.: A 50-m pole at the equator loans /18 rad from the vertical. On the first day of fall, at noon,
the pole casts a shadow on the ground. How long is this shadow?
? the shadow is 50 cos(4/9) m (~8.68m) long.
Ex.: A flat metal plate has shape determined by the area under the graph of B:T;L5
:ráw;,IWKHSODWH¶VGHQVLW\x units from the y-axis) is given by x2 (g/cm2), what is its total mass?
5>ë Linear density: ë.
n critical pts. Global Extremum
1 critical pt. Global Extremum
>1 critical pt. Local Extrema
Any pattern different from the above two
Hj = 0 degenerate pt.