A region is bounded by x=1, y=8 and the curve y=x^3. Find the volume of the solid of revolution formed when this region is rotated about:
a) the y-axis
b) the x-axis
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1) A 1.35 tonne loaded car has its speed reduced by braking from 16.0m/s to 6.3m/s. Each of the four brakes applies a force of 1.02kN. Calculate:
a) the work done by each brake to produce this slowing up
b) how far the car will travel while this happens
2)Find the initial velocity of a 0.40...