Calculus with Parametric Curves. Let be the curve defined by the parametric equations

x=4t^2-5,

y=2t^3+1, 0<=t<=4 a. Find the slope of the line tangent to the given parametric curve C at the point P on C that corresponds to t=1 .

b. Setup, but do not evaluate, an integral giving the area A of the region enclosed by the x-axis and the given parametric curve C . c. Setup, but do not evaluate, an integral giving the exact length L of the given parametric curve C.