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First the student needs to differentiate the function to find dy/dx = 2x-6At dy/dx = 0, we know the curve is stationary. Now we can work out the x value such that x = 3Put x=3 back into the original equat...

cos(2y)= (cos(y))^2 - (sin(y))^2 identitynow consider identity (cos(y))^2+(sin(y))^2=1by rearranging this to (cos(y))^2 - 1 = - (sin(y))^2 we can now substitute it into our first identity to obtaincos(2y)...

This is an equation laid out in terms of the natural logarithm, which essentially is the reverse function of e^x . From this equation we need to find a solution for x =? Since we know that this ...

Earthquakes are caused by the breakage of underground, crustal rock largely close to or near plate boundaries. It should also be noted that the breakage of rock occurs along a fault line, which is a long ...

Large organisms have-High metabolic activity (used in movement, respiration, reproduction etc)Large distance between cells and the incoming oxygen that they requireA very small surface area to volume rati...