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can some please help me with these questions ? 18. A picture frame has a border of 2cm at the top and bottom and 3cm at the sides. If the total area of the border is to be 100cm ^2, find the maximum area of the frame. 19. A 3m piece of wire is cut into two pieces and bent around to form a...

can someone please help me with these questions ? 15. A surfboard is in the shape of a rectangle and semicircle. The perimeter is to be 4m. Find the maximum area of the surfboard correct to 2 places. 16. A half-pipe is to be made from a rectangular piece of meta; of length x cm. The...

hey ! can someone please help me with this question at point P(2ap,ap^2) on the parabola x^2=4ay a tangent is drawn to cut the axis of the parabola at T and the normal from P meets the axis in G. If S is the focus: b) if a line PN is drawn perpendicular to the zxis, meeting the axis in N...

need help with with question e ) i can do the rest but the questions are a follow up of each other a) Show that the point R(-1.5,-1) is external to the parabola x^2=4y. b) Find the equation of the chord of contact of the tangents from R. c) If this chord meets the parabola at P and Q, find the...

can someone please help me with this question ? Tangents are drawn to the parabola x^2= 16y from the points P (0,-4) and Q(2,-2) Show that the normals from the ends of these chords meet on the axis of parabola.

hey can anyone please tell me where I can find the census data / any data for conversion in the changing patterns of religious patterns from 1945- 2006? how do i give reasons for births and death to changes in religious adherence from 1945-2006?

Prove that the the line x+ y+ 3 =0 is a tangent to the parabola x^2= 12y. What is the point of contact.

Ummmm, there is 2 parts to that question ... find the point of contact and prove its a tangent. I know how to find the point of contact but i don't know how to prove it without finding the point of contact . I hope this makes sense

Can someone please help me with these questions ? a) Prove that the line x-2y-2=0 is a tangent to the parabola x^2=16y. b) Given the parabola x^2 = 1/2, for what values of m does the line y= m(x+1): i) have 2 points of intersection ? ii) one point of intersection? iii) no points of...

thank you

this might sound like a really dumb question but you said that you draw a horizontal line to the axis, is that to the x or y axis ???

nope ...see there is this question that says for the parabola x^2 = 4ay a) show that the gradient of the chord joining the vertex to a point P (2ap, ap^2) is p/2. b) If Q is the point (2aq,aq^2) state the gradient of OQ and hence show that the chords of OP, OQ are perpendicular if pq = -4. c)...

thanks... how do you know what condition for PQ in the parabola x^2= 4ay is to be perpendicular to the axis of the parabola ?

can someone please help me with this question??? a secant which passes through the point ( 0,-a), cuts the parabola x2 = 4ay at P, Q with parameters p,q If S is the focus show that 1 / PS + 1/ QS= 1/a