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First it’s important to check units, we notice that the dimensions are given in mm. Therefore in order to convert this to m^3 we need to multiply the volume in mm by (10^-3)^3 which gives us 2.64 x 10^-9....

Theory - Two lines on a graph will be parallel if their gradient is the same. The general equation of a line is y = mx + c where y and x are variables, m is the gradient and c is the y intercept. hence if...

From a right angled triangle with hypotenuse u and angle theta, we see the horizontal speed is (u cos theta) and the initial vertical speed is (u sin theta). As the ball moves in a symmetric parabola, it ...

Lim((f(x+h)-f(x)))/h= lim(((x+h)² -x²)/h)=lim((h² +2xh)/h) as h tends to 0 the limit becomes 2x

a) f'(x)=2x-2-12x^1/2B)f'(x)=2+6x^-3/2c)f'(4)=0d) local minimum