Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$.

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

Included in the Advice of this question are:

6 iterations of the method.

Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

No description given

Find i using compound interest formula A=P(1+i)^n

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Transposing formulae

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No description given

Transposition of formulae. Changing the subject of an equation. 

rebel rebelmaths

Transposition of formulae. Changing the subject of an equation. 

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Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

No description given

Rearranging a formula

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Straight line graph formula

Addition Formulas in Trigonometry. Range of Sinusoidal functions. 

Substitute given values into formulas.

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

Substitute given values into formulas.

No description given

Finding surface area and volume, given formulae.

Given the original formula the student enters the transformed formula

Given the original formula the student enters the transformed formula

Manipulation of algebraic fractions

Manipulation of an exponential function

Solving quadratic equations using a formula

Solving quadratic equations using a formula,

Solving quadratic equations using a formula,

Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

Transposition of formulae. Changing the subject of an equation. 

rebel rebelmaths