A baseball diamond is a square with sides 90 ft long. If a player is running from second to third at a rate of 28 ft/sec, at what rate is his distance from home plate changing when he is 30 ft from third?
For a particular object, the acceleration function is $a(t) = 2t + 8$. If $v(1) = 4$ and $s(3) = 8$, find the velocity and distance functions, $v(t)$ and $s(t)$, respectively.
$\int 2x^4(3x^5 - 8)^{-\frac{1}{3}} dx = ...$