Please do Q2 and Q3 Alpha = 3

(b) Nawty Nelly wrote vr2 = r for any real number I. (c) Nawty Nelly wrote the domain of f(r) = arcsin(3x - 2) is [-], . [5] 2. Determine the following (remember a is the last digit of your student number): (a) Find the area enclosed between the curves y = z2+. and z20 in the FIRST QUADRANT. (b) f : R -> R is a differentiable function where f (0) = a, f(1) = 7, f(3) = 33 and f(10) = da+5. Determine fo rf'(1 + r? )dr by using the method of substitution. [5] 3. There are five houses of different colors next to each other equally spaced on the same road. In each house lives a man of a different profession. . The blue house is adjacent to the mathematician's and con-man's houses. . The first house on the left is green. . The nurse lives immediately to the right of the mathematician. . The teacher lives halfway between the plumber's house and the yellow house, . The nurse's house is immediately to the right of the red house. Who lives in the white house? Fully explain your answer using sentences, paragraphs and good mathematical logic. 5