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Matrix addition, multiplication. Finding inverse. Determinants. Systems of equations.

rebelmaths

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Integration by susbtitution, no hint given

Integration by susbtitution, no hint given

Simple Indefinite Integrals

Simple Indefinite Integrals

Practice with adding, subtracting and dividing basic algebraic fractions

A function of the form (ax+b)/(x+c) is plotted. Student is asked to calculate the shaded area. Area is both above and below the x-axis.

A quadratic is and a graph of it is given. A tangent is also sketched. The equation of the tangent line is asked for.

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Introduction to using the product rule

A basic introduction to differentiation

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

Linear program described in words. Student must write out constraints as equations in standard form, then identify the optimal solution in a finished simplex tableau.

This question contains a "choose several answers" part which has an "all-or-nothing" mark scheme: the student is only awarded marks if they tick all of the correct choices, and no incorrect choices.

$f(x)= ae^{-bt}+c$ is given and plotted. A few points are plotted on the curve. $x$-coordinates are provided for two of them and $y$-coordinate provided for third. Student is required to determine other coordinates.

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