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Finding the Minimum of a Curve and Evaluating a Definite Integral

The mathematical solution explains how to find the coordinates of the minimum point of y = 8x + 1/x, for x > 0 and how to find the area between the curve, the x axis and the lines x = 1 and x = 6 using integration. The x value of the minimum point is found by writing the function in index form,...

Finding the Minimum Value and Sketching a Quadratic Function

The mathematical solution explains how to find the minimum value and sketch the curve of y = 4x2 + 12x + 10. The first method uses calculus, differentiating the function and equating the differential to zero. The resulting equation is solved to find the x value of the minimum point. This value is then...

Finding the Points of Intersection of a Linear and a Quadratic

The mathematical solution explains how to find the points of intersection of a linear and a quadratic function by solving the equations simultaneously. By rearranging the linear equation and equating to form a quadratic equation, the x values of the intersection are found by solving the equation using...

Finding the Volume of Revolution Generated by a Curve

The mathematical solution explains how to find the volume of revolution generated by the curve y=xe[sup]x[/sup] between the limits of x=0.5 to x=4 by using integration by parts. The explanation explains, with the aid of a graph, how the volume is found and explains clearly the equation to be integrated. The...

This item is one of over 25,000 physical resources available from the Resources Collection. The Archive Collection covers over 50 years of curriculum development in the STEM subjects. The Contemporary Collection includes all the latest publications from UK educational publishers.

This item is one of over 25,000 physical resources available from the Resources Collection. The Archive Collection covers over 50 years of curriculum development in the STEM subjects. The Contemporary Collection includes all the latest publications from UK educational publishers.

An introduction to forensic science procedures including the examination of fingerprints, DNA, gunpowder, fibers, and handwriting found at a crime scene.

Fingerprints – beyond identity

Chemists analyse the tiny traces of substances which form a fingerprint. This allows them to determine drug abuse and as well as the age, gender and diet of an individual.

This article is from Catalyst: Secondary Science Review 2016, Volume 26, Issue 3.

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This item is one of over 25,000 physical resources available from the Resources Collection. The Archive Collection covers over 50 years of curriculum development in the STEM subjects. The Contemporary Collection includes all the latest publications from UK educational publishers.

Finnish Pupils' Success in Mathematics

This resource from Ofsted is a full report and summary of the findings from a visit, in September 2009, made by two of Her Majesty's Inspectors to educational establishments in Finland. Evidence was gathered from three schools and a university from each of three towns about the factors that contributed to Finnish...

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