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(1) Find the Midpoint of PQ which is (1,2) (Halfway between the x and y coordinates)(2) dy/dx for M(1,2) -> R(3,6) = (6-2)/(3-1) = 4/2 = 2(3) y =mx + c so y = 2x + c when R(3,6) is input 6 = 2(3) + c, ...

Differentiating x² gives dx²/dx=2x. Differentiating a constant C gives 0. d( x² +C)/dx=dx²/dx+dC/dx=2x+0=2x. Since integration is the inverse function of differ...

To find the stationary points of the curve y(x), you must first differentiate the equation for y(x) in terms of x. This gives d(y(x))/dx = x^2 -5x +4. Now set this differential equal to zero and solve for...

For this method we need to choose our u and dv/dx. Using the Late method (Logarithm, algebra, trigonometric, exponential), we can pick our u value which will be ln(3x). du/dx is therefore 1/x, using the c...

We need to consider two possibilities, you could either pick out two blues or two reds. To find the total probability we work it out for each individually and then add them together. We can find the proba...