Exam #2 3. (14 pts.) A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.5 m/sec. (a) How fast is the top sliding down the wall when the foot of the ladder is 5 m from the wall? (b) At what rate is the area of the triangle (formed by the wall, the ladder, and the ground) changing at the same time'.7 Page 4 of 7 Exam #2 4. (14 pts.) Compute the following limits using appropriate methods. Show all work. If L'Hpital's Rule is used, be sure to indicate each use of it and the indeterminate form. . ln(1Zx) \"0 HAW Page 5 of 7 S. (12 pts.) For x) : 2\\/i (a) Write the lineal approximation at a : 4. (b) Use Part (a) to estimate f( ). Page 6 of 7