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Definite integrals
Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$axis. The second graph has some area above and some below the $x$axis.
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Anna's copy of Maria's copy of Mario'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.
Question Doesn't work
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Last modified 16/08/2019 15:12
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Min_max_v2
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 16/08/2019 14:51
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Min_max_v1
Calculate the local extrema of a function ${f(x) = e^{x/C1}(C2sin(x)C3cos(x))}$
The graph of f(x) has to be identified.
The first derivative of f(x) has to be calculated.
The min max points have to be identified using the graph and/or calculated using the first derivative method. Requires solving trigonometric equation
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Last modified 16/08/2019 14:46
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Mark equations
All the answers in this question are equations. In order to mark each equation, Numbas needs to pick some values that satisfy the equation and some that don't, and check that the student's answer agrees with the expected answer.
Any equation with the same solution set as the expected answer will be marked correct.
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Last modified 16/08/2019 12:31
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David's copy of Graph question for Melissa
There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.
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Last modified 16/08/2019 11:43
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Graph question for Melissa
There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.
Question Needs to be tested
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Last modified 16/08/2019 11:42
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J. Richard's copy of Laws of Indices
This question aims to test understanding and ability to use the laws of indices.
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Last modified 15/08/2019 17:19
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