Calculus 2 (Area between the curves) i tried but i can't find the right answer

Anonymous
timer Asked: Apr 3rd, 2016

Question description

1) 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. 2y=4√x, y=5, and 2y+2x=6

2) Find the area of the region enclosed between y=3sin(x) and y=4cos(x) from x=0 to x=0.9π Hint: Notice that this region consists of two parts.

I can't do them.

3) There is a line through the origin that divides the region bounded by the parabola y=6x−5x^2 and the x-axis into two regions with equal area. What is the slope of that line?

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