655 results for "part".

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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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  • Maria's copy of Roots of a quartic real polynomial

    by Maria Aneiros and 1 other

    Given two complex numbers, find by inspection the one that is a root of a given quartic real polynomial and hence find the other roots. 

    Question Needs to be tested

    CC BY Published

    Last modified 10/10/2019 13:43

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  • Factorise a quadratic

    by Thomas Waters and 2 others

    The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

    To find the script, look in the Scripts tab of part a.

    Question Draft

    CC BY Published

    Last modified 03/10/2019 16:00

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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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  • Integration by parts

    by Andrew McKinley and 3 others

    Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$

    Question Draft

    CC BY Published

    Last modified 25/09/2019 11:49

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  • Fourier Series Step function.

    by John Butler and 2 others

    Calculating particular harmonic components of a Fourier series expansion.

    Question Needs to be tested

    CC BY Published

    Last modified 24/09/2019 15:49

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  • Mark the product of two matrices in a mathematical expression part

    A mathematical expression part whose answer is the product of two matrices, $X \times Y$.

    By setting the "variable value generator" option for $X$ and $Y$ to produce random matrices, we can ensure that the order of the factors in the student's answer matters: $X \times Y \neq Y \times X$.

    Question Draft

    CC BY Published

    Last modified 24/09/2019 15:27

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  • Arithmetics of complex numbers III

    Inverse and division of complex numbers.  Four parts.

    Question Ready to use

    CC BY Published

    Last modified 23/09/2019 23:49

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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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  • Partial Fractions: simple linear factors

    by Picture of Kevin Bohan Kevin Bohan and 3 others

    No description given

    Question Draft

    CC BY-NC Published

    Last modified 19/09/2019 11:18

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