Answer all written out please

7. Provide the set up, work and solution for the following problem: A 50-foot ladder is placed against a large building. The base of the ladder is resting in a puddle and it slips at a rate of 3 feet per minute. Find the rate at which the ladder slides down the wall at the instant when the base of the ladder is 30 feet from the building. 8. Provide the set up, work and solution for the following problem: Find the points on the curve y = vx - 8 that are closest to the point (12, 0). 9. Find the following information for y = 12-8 (a) Domain (b) Intercepts (c) Asymptotes (d) Relative Min (e) Relative Max (f) Inflection Points (g) Decreasing Intervals (h) Concave Up Intervals (i) Sketch the graph