892 results for "using".

Integration revision
Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.
Exam (13 questions) Draft
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Last modified 11/10/2019 22:18
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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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Last modified 30/09/2019 15:45
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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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Last modified 26/09/2019 09:26
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Basic Set Theory: element not in a set
Introductory exercise about subsets using custom grading code.
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Last modified 23/09/2019 01:18
 Pure mathematics
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Maths_and_Stats's copy of Interactive NewtonRaphson method
Write down the NewtonRaphson formula for finding a numerical solution to the equation $e^{mx}+bxa=0$. 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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Last modified 19/09/2019 13:49
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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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Last modified 19/09/2019 11:55
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Question Draft
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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.
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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?
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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 $M = F_\perp d$.
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Last modified 17/09/2019 13:18
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Stage 2