Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. X = 4 ln(t), y = 4 t , z = t4; (0, 4, 1) x(t), y(t), z(t) =.

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?