892 results for "using".

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• Integration revision

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

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• Prerequisites - Calculate an expression

Questions testing understanding of the precedence of operators using BIDMAS. That is, they test Brackets, Indices, Division/Multiplication and Addition/Subtraction.

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• Integration - Area Under a Graph 2

Three graphs are given with areas underneath them shaded. The student is asked to calculate their areas, using integration.  Q1 has a polynomial. Q2 has exponentials and fractional functions. Q3 requires solving a trig equation and integration by parts.

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• Basic Set Theory: element not in a set

Introductory exercise about subsets using custom grading code.

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• Pure mathematics
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• Maths_and_Stats's copy of Interactive Newton-Raphson method

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.

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• Integration - By Partial Fractions

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

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• Leonardo's copy of Logarithms

Practice using the log rules to add and subtract logarithms

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• Moment of a Force: using the definition of a moment

Calculate the moment of a force about three points using the definition of a Moment.  All forces and points are in the same plane.

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• Paul 's copy of Max and Min 5

$I$ compact interval. $\displaystyle g: I \rightarrow I, g(x)=\frac{ax}{x^2+b^2}$. Find stationary points and local maxima, minima. Using limits, has $g$ a global max, min?

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• Moment of a force about a point

Determine the moment of a force about a point by using $M= F d_\perp$ or $M = F_\perp d$.

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