# Casio A2 Level Resources

This collection of videos is produced by Casio in conjunction with Mathstouch Ltd. The collection consists of material found in A2 level mathematics courses. Each resource consists of at least two videos. The first video explains how to solve a mathematical problem using familiar mathematical techniques. The second video shows how the answer to the question can be verified using the functions found on a graphical calculator.

## Resources

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### 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...

### Using Partial Fractions to Evaluate the Definite Integral of an Algebraic Fraction Example One

The first part of the mathematical solution explains how to express an algebraic fraction in partial fractions. The fraction used is a straight forward example solves by equating coefficients to obtain two simultaneous equations. The second part of the video uses the result of the first part of question in...

### 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,...

### Using Rcos(x + α) to Find the Maximum and Minimum Values of a Function and to Solve a Trigonometric Equation

The mathematical solution initially explains how to find the maximum and minimum values of f(x) = 5sin x + 2cos x and how to find, in radians to 2 decimal places, the smallest positive values of x at which they occur. f(x) is written in the form Rcos(x + α). Explanation is then given as to how the maximum and...