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

3*cos(3x)

TA
2121 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...

EB
2143 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 (...

GM
20673 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...

MT
3015 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...

KD
5153 Views

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