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Upper bound of Peter's height = 185cmLower bound of Peter's height = 175cmUpper bound of Alice's height = 155cmLower bound of Alice's height = 145cmFor the upper bound of the difference, we want the upper...

53 x 6 = 318320-318 = 2There are not enough coaches for the amount of people. 2 people would not be on a coach. 7 coaches are needed to ensure everyone has a seat on a coach.

We must firstly understand that the tangent at point P is linear, and we must use y = mx +c format for the equation. To calculate the equation we need to find the unknowns m and c. To find the unknown m w...

Completing the square refers to the process of rewriting a general quadratic expression into the form of a(x+b)² + c.For example we are asked ...

We can use substitution for this one. Take y=ln(x) to be equal to y= 1 x ln(x)Set u=ln(x) and dv/dx=1Compute du/dx and v:du/dx=1/x and v=xUse given formula - ∫ udv/dx dx = uv - ∫ vdu/dx dx= xln(x) - ∫ x/x...