No calculator. Must show all work.

1. (5 points) Find the area of the region bounded by f(r) = 312 and g(r) = 6r on [0, 3]. 7. (4 points) All parts of this problem refer to the region under the graph of f (x) = er, above the r-axis, and between r = -2 and x = 2. Denote this region by R. [Reminder: Calculators are not allowed. Numerical answers may be given in terms of constants such as e. ] (a) Sketch the region R described above. (b) Find the area of the sketched region R by expressing it as a definite integral and evaluating (calculating) that integral. (c) Approximate the area of the above region R using 4 rectangles (n = 4) and right endpoints. Sketch the rectangles and show all your work