4.02 graded

Please show all your work and answer all the questions

1 Find the area hounded the curves = 12 and :4? . 2] There are two regions bounded by the line y = x and the curve y = x3. one in the rst quadrant an another in the third quadrant. Find the total area of these two regions. 3] Find the area hounded by the parabola x = 9 {y 2]2 and the y-axia. 41A region is bounded by the line Jr = 1, the line y = 2. and the curve y = 2'. Find the area of the re 5] A region is bounded in the rst quadrant by the graphs of x=y2+2 . Fit-y. and the x-axia. Find the area of the region. E] Find the area under the line y = 3 and above the curve y = sin 3: on the interval {t}, rt]. 10) The table below represents function values for R(t) and S(t) on the interval 0 R(t) on the interval, use trapezoids to approximate the area between the curves defined by the functions on [0, 60]. 0 15 30 45 60 R(t) -3 -2 0 1 3 S(t) 4 3 2 1 47) Find the area bounded by the line y = x and the parabola x = y