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Further Mathematics
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Whats the derivative of sin(3x)?

3*cos(3x)

Answered by Tomas A. Further Mathematics tutor
2094 Views

A particle is undergoing circular motion in a horizontal circle, that lies within the smooth surface of a hemispherical bowl of radius 4r. Find the distance OC (explained in diagram) if the angular acceleration of the particle is equal to root (3g/8r).

Resolve the reaction force caused by the weight, mg, of the particle horizontally and vertically. Rsin(theta) = mg Rcos(theta)=m(CP)w^2 where w = root (3g/8r).thus tan(theta) = 8r/3CPconsider the right an...

Answered by Ed B. Further Mathematics tutor
2125 Views

Find the Cartesian equation of a plane containing the points A(1, 7, -2) B(4, -3, 2) and C(7, 8, 9).

It can be shown that the equation of any plane can be given by r.n=a.n, where r = xi + yj + zk, n is a direction vector normal to the plane, and a is any point vector on the plane. a can be found easily (...

Answered by GUSTAF M. Further Mathematics tutor
20356 Views

Write down the equations of the three asymptotes and the coordinates of the points where the curve y = (3x+2)(x-3)/(x-2)(x+1) crosses the axes.

Step 1: find the asymptotesThere are two kinds of asymptotes we look for: vertical and horizontal.The vertical ones happen when y goes to negative...

Answered by Meg T. Further Mathematics tutor
2974 Views

How do I integrate (sin x)^6?

Letting z be the complex number cos x + i sin x, we will use the identities (zn + 1/zn) = 2 cos nx and (zn - 1/zn) = 2i sin nx. Both of these follow from De Moi...

Answered by Keenan D. Further Mathematics tutor
5099 Views

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