1.Find the area of the region enclosed between y=2sin(x) and y=4 cos(x) from x=0 to x=0.6pi.
2.There is a line through the origin that divides the region bounded by the parabola y = 7 x- 4 x^2 and the x-axis into two regions with equal area. What is the slope of that line?
3.Sketch the region in the first quadrant enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.
y = 10cos x, y = 8sin 2 x, x = 0.
4.Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.
y=1/x, y=1/x^2, x=6