a) What is the value of x in terms of 3 and the angle 9 ? b) What is the value of y in terms of 3 and the angle 9'? c) What is the area of the triangle in terms of x and y? d) What is the area of the triangle as a function of 6'? e) What is the area of the rectangle as a function of y? i) What is the area of the rectangle as a function of 9'? g) The cross-sectional area of the gutter is equal to the area of the rectangle plus the area of the triangle. What is this area as a function of 9? d A i) Set 3 = 0 to nd the value of 9 in radians where the cross-sectional is a maximum. j) If you have trouble doing (i), then plot A(9) and nd the maximum for 9 graphically. k) If you did both (i) and (i), do your two values for 9 match? (yes or no)