x²Show thattan²t+cot2 t = 1 is aa²possible form of the boundary surface ofaliquid and find an ex pression for thenormal velocity.y62.

Answered: Show that tan²t+ cot2 t = 1 is a a²…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...

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Related questions

Question

x²
Show that
tan²t+
cot2 t = 1 is a
a²
possible form of the boundary surface of
aliquid and find an ex pression for the
normal velocity.
y
62.

Expert Solution

Step 1: Solution

If we take f(t)=tan² t then it is proved
evidently that the given F(x,y,t) is a possible
form of the boundary surface.

$u equals negative fraction numerator x space f apostrophe left parenthesis t right parenthesis over denominator 2 space f left parenthesis t right parenthesis end fraction space space a n d space v equals fraction numerator y space f apostrophe left parenthesis t right parenthesis over denominator 2 space f left parenthesis t right parenthesis end fraction$