The equation of the tangent to the curve $x^{\frac{5}{2}}+y^{\frac{5}{2}}=33$ at the point (1, 4) is:

$x+8 y-33=0$ $12 x+y-8=0$ $x+8 y-12=0$ $x+12 y-8=0$

$x+8 y-33=0$

The correct answer is Option (1) → $x+8 y-33=0$