Find the line tangent to this curve when t t0 find the x-

Question

Let x(t) = (e^t + e^-t) / 2, y(t) = (e^t - e^-t) / 2 be parametric equations which describe a hyperbola.

a. Find the line tangent to this curve when t = t₀.

b. Find the x- and y- intercepts for this tangent line.

c. Describe what happens to the tangent line as t₀ gets large.