could u pls help me

1. Show that the equation x' + 5x + 2x + 1 =0 has exactly one real solution. (15 points) 2. Find the coordinates of the points on the curve x2 + (y - 2)? = 1 that are farthest from the origin. (15 points) 3. Evaluate the following limits. a) lim (sina )sex (10 points) TT b) lim_(1 - tana) sec 2x (10 points) 4. Evaluate the following indefinite integrals. a) fe-2 sin 3xdx (10 points) b ) J -x2 +4x - 1 (10 points) direction