10 results authored by Matthew Mears  search across all users.

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Curl and divergence of a vector field. Determine whether the vector field is irrotational or solenoidal.

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Antiderivatives
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rebelmaths

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Find the inverse of a composite function by finding the inverses of two functions and then the composite of these; and by finding the composite of two functions then finding the inverse. The question then concludes by asking students to compare their two answers and verify they're equivalent.

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This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

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Solve 4 first order differential equations of two types:$\displaystyle \frac{dy}{dx}=\frac{ax}{y},\;\;\frac{dy}{dx}=\frac{by}{x},\;y(2)=1$ for all 4.
rebelmaths

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Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.