oman

thankx a lot!! GOD Bless you.. guys, i still need help. thanx in advance.. anyone, pls help me. in 2, 3, 4 and 5. just help me in setting the equation, i will then solve it. i little confused in integral especially in number 3 and 6. thank a lot, i hope you guys will help me.

1. the base of a solid is the region in the xy plane bounded by the parabolas y=x^2 ans x=^y2. find the volume of the solid if every cross section perpendicular to the x-axis is a square with its base in the xy plane. 2. given y=x^5 - 4x^3 + 5x a. locate the exact or approximate intercepts b. identify any axis of symmetry c. determine the curves behavior at positive and negative infinity d. use the first and second derivative to locate turning points 3. find the area common to r=1+cos@ and r=3^(1/2) sin@ 4. specify the points of intersection of rcos@=1 and r=4cos@ 5. tnagents are drawn to the ellipse x^2/a^2 + y^2/b^2 =1 and the circle x^2 + y^2 = a^2 at points having the same abscissa. prove that these tangents cross OX (a-axis) at the same point. 6. find the volume generated by rotating the region bounded by (x-1)^2 + (y-2)^2 = 4 around a. x axis b. y -axis c. x = 3 d. y = 4 [Difficulty] I need help in one and five a lot!!