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To solve this first we need to simplify the equation by multiplying the denominators by a common factor. If we multiply both sides of the equation by 6 we shall get an equation that is expressed with deno...

Using the chain rule, we know that dy/dx = dy/dt . dt/dx Therefore we differentiate both equations with respect to t:dx/dt = -4dy/dt = -2/(t^2)therefore dy/dx = -1/4 . -2/(t^2)dy/dx = 1/(2t^2) ... (we kno...

The mean of the class is 60 for 30 students in total so to get the total marks scored by the class you need to multiply 60 by 30 which is 1800. Then you need to work out the total marks scored by the girl...

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A Cartesian equation is in the form ax + by + cz = d. The a, b and c constants are given by the normal vector to the plane so we must find this first. You find the two direction vectors of the plane by su...