Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
Answer:
Four is the final answer (4)
Step-by-step explanation: Have a brilliant day of learning!
Since the tank is 66.06% full, it is (100 - 66.06) = 33.94% empty.
Its capacity is 6,000L. So, in order to fill it to capacity, the service station
must order 33.94% of 6,000L .
33.94% = 0.3394
"of" means "times"
0.3394 x 6,000L = <em>2,036.4 liters</em> needed, to fill the tank to the rim.
we are given


we can multiply -1 on both sides of second equation


we can see that
both equations becomes same
so, they are coincident............Answer
Answer:
decreasing increasing decreasing function