WSKT 212 PAC

3. Die vorm van ‘n betonsloot in ‘n
besproeiingskema word gegee deur
die vergelyking
2 2
x y
+ = 1 met y ≤ 0 .
144 , 064 ,
Die oppervlak van die grond
(grondvlak) word as die X-as gekies;
alle afmetings is in meter.
Skets die sloot en toon sy diepte en
breedte duidelik aan.
4. Gee die naam en vergelyking van die
volgende kegelsnede:
Wenk: Wat is die vergelyking van die
asimptote? Onthou die asimptote het
b
die vorm y =± x en die vergelyking
a
vir hierdie kegelsnit is
2 2
x y
− = 1.
2 2
a b
171
The shape of a concrete ditch in an
irrigation scheme is described by the
equation
2 2
x y
+ = 1 with y ≤ 0 .
144 , 064 ,
The surface of the ground (ground
level) is taken as the X-axis; all
dimensions are given in meters.
Sketch the ditch and clearly indicate its
depth and width.
Supply the name and equation of the
following conic section:
Hint: What is the equation of the
asymptotes? Recall that the
b
asymptotes have the form y =± x
a
and that the equation for this conic
section is
2 2
x y
− = 1.
2 2
a b