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Simplifying - laws of indices
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Complex number in polar form
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separable differential equation
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first order homogeneous differential equation, constant coefficients
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calculating partial derivatives
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graph of inverse sine
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using a hyperbolic function identity
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stationary point (one variable)
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gradient by implicit differentiation
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integration by parts
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simple rational function integral
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trigonometric integral
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simple linear inequality
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integration involving squareroot of a quadratic
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solving a trigonometric equation
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graph of trigonometric function
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quotient rule differentiation
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trigonometric integral
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simple logarithmic integral
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simple complex number calculation
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two part question - trigonometry equation; differentiations
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two part question - stationary points; Newton-Raphson
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two part question - complex numbers; separable differential equation
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various properties of inverse cosh
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two part question - infinite integral; double integral in polars
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integrals of rational functions
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Simplifying - laws of indices | Complex number in polar form | separable differential equation | first order homogeneous differential equation, constant coefficients | calculating partial derivatives |
graph of inverse sine | using a hyperbolic function identity | stationary point (one variable) | gradient by implicit differentiation | integration by parts |
simple rational function integral | trigonometric integral | simple linear inequality | integration involving squareroot of a quadratic | solving a trigonometric equation |
graph of trigonometric function | quotient rule differentiation | trigonometric integral | simple logarithmic integral | simple complex number calculation |
two part question - trigonometry equation; differentiations | two part question - stationary points; Newton-Raphson | two part question - complex numbers; separable differential equation | various properties of inverse cosh | two part question - infinite integral; double integral in polars |
integrals of rational functions |
MA160exam01
Exam questions and solutions in LaTex. Diagrams for the questions are all together in the support.zip file, as .eps files
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