Let f(il3) : 1133 33:2 | 3. a. What are the domain and range of f? b. What are the relative extreme of f? Justify your answer. 0. Are there any points of inflection? Justify your answer. (1. Where is finoreasing and decreasing? Justify your answer. A man walks in a straight path away from a streetlight at a rate of 4 feet per second. The man is 6 feet tall and the streetlight is 15 feet tall. a. At what rate is the length of his shadow changing? to. At what rate is the distance from the top of the streetlight to the tip of his shadow Changing when the man is 12 feet from the streetlight? rig; 4y Consider the differential equation E : 3\". a. Find the general solution in explicit form. b. Find the particular solution in explicit form, if y(2) : 1. c. Find the equation of the tangent line at (23 1) to the particular solution