Recently published items

Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $f(x)+n$.

Finding the stationary point (maximum) of a quadratic equation in a contextualised problem. 

Knowing the half-life of Carbon-14 and the initial mass of Carbon-14 when a tree was cut (a) write an expression that describes the relationship between the remaining mass and time, (b) calculate the remaining mass after $t$ years, and (c) given the remaining mass calculate how many years ago the tree was cut down. 

Knowing the doubling time of a population and the population on day $t$, calculate the initial population and the number of days required for the population to reach a threshold. 

Calculating the rate of change of the temperature during a chemical reaction using the chain rule in a function of the form $T=ate^{-t}$, and finding the maximum temperature of the reaction.

Rearraning the constant acceleration equation $v^2=u^2+2as$ to make $s$ the subject.

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Using basic derivatives to calculate the gradient function of a hill $y=-e^x+b\ln\left(x\right)+c$, and then substituting values to find the gradient at specific distance from the sea. 

Given the total cost, insurance cost, and daily cost of hiring a bicycle, calculate the number of days the bicycle was hired for.

Rearraning the constant acceleration equation $v=u+at$ to make $t$ the subject.