Find the curvature of rrarrt t2 in t t in t at the point

Question

1. Find the curvature of r^→(t) = (t², In t, t In t) at the point (1,0.0).

2. A projectile is fired with an initial speed of 200 ni/s and angle of elevation is 60°. Find

(a) The range of the projectile.

(b) The maximum height reached.

3. (a) Show that lim_{(x, y)→(0, 0)}(x² - ²) / (x² + y²) does not exist.

(b) Show that the following function is continuous on R².