Prof. Martin is designing a spotlight that uses a parabolic reflecting mirror and a light source. She models the shape of the mirror by using
$\left(x-2\right)^2=10\left(y-3\rig ht)$
(x−2)2=10(y−3), where x and y are both measured in inches.
Where is the focus of the spotlight?
Round decimals to the tenth place (no fractions) and type your answer in the following form without spaces: (x, y)

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3