892 results for "using".

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  • Integration revision

    by Martin Jones and 3 others

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

    Exam (13 questions) Draft

    CC BY-NC-SA Published

    Last modified 11/10/2019 22:18

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  • Prerequisites - Calculate an expression

    by Timur Zaripov and 1 other

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

    Question Ready to use

    CC BY Published

    Last modified 30/09/2019 15:45

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  • Integration - Area Under a Graph 2

    by Picture of Kevin Bohan Kevin Bohan and 2 others

    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.

    Question Draft

    CC BY Published

    Last modified 26/09/2019 09:26

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  • Basic Set Theory: element not in a set

    by Picture of Daniel Mansfield Daniel Mansfield and 1 other

    Introductory exercise about subsets using custom grading code.

    Question Ready to use

    CC BY-SA Published

    Last modified 23/09/2019 01:18

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

    by Maths_and_Stats Advice and 2 others

    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.

    Question Draft

    CC BY Published

    Last modified 19/09/2019 13:49

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  • Integration - By Partial Fractions

    by Picture of Kevin Bohan Kevin Bohan and 2 others

    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.

    Question Draft

    CC BY Published

    Last modified 19/09/2019 11:55

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  • Leonardo's copy of Logarithms

    by Leonardo Juliano and 3 others

    Practice using the log rules to add and subtract logarithms

    Question Draft

    CC BY Published

    Last modified 19/09/2019 11:26

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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.

    Question Ready to use

    CC BY-NC Published

    Last modified 17/09/2019 19:48

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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? 

    Question Ready to use

    CC BY Published

    Last modified 17/09/2019 15:07

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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 $M = F_\perp d$.

    Question Ready to use

    CC BY-NC Published

    Last modified 17/09/2019 13:18

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    Stage 2