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Integration Problem- Need to find the volume of a frustum, with circular top and bottom B1 and B2, where h is height. I need to derive this as the formula h/3 (B1+B2+ sq rt (B1*B2)) i found the eqn for the line and used the formula pi (y^2) dx to find the area, but i get stuck. Help please.

If the line 3x+y-6=0 passes through a focus of x^2/m2 - y^2/16 =1 then m equals. Please show all working.

I need to prove that the distance from any point on an ellipse, P, to the two foci, is equal to 2a? i know the distance to the directrix is constant but, im not sure how to do the rest.. help thanks?

Help with Conics<!-- google_ad_section_end --> <HR style="COLOR: #d1d1e1; BACKGROUND-COLOR: #d1d1e1" SIZE=1><!-- google_ad_section_start -->i Dont know how to apprach these questions, need to find the normals and tangents of the following parabolas at certain points. please show working...

Show that the parabola with equation y^2=4ax has the optical property that a ray of light parallel to the acis of a parabolic mirror passes through the focus afterreflection from the mirror.

The normal at a point P(at^2,2at) on the parabola y^2=4ax intersects the x axis at Q. Find in terms of t, the coordinates of Q. Find also the equation of the locus of the mid-point of PQ. Show taht the locus is a parabola for all t doesnt equal 0 ah so hard.

i Dont know how to apprach these questions, need to find the normals and tangents of the following parabolas at certain points. please show working y^2=2(x-3) at point (5,2) x-cos2theta, y=costheta at point where theta=pi/4 y=(x-2)^2 at point (3,1) x=cos2t, y=sint at point where t=0...