Resources by Casio
Displaying 11 - 20 of 29
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.
Integrating a Square Root Function
The mathematical solution explains how to integrate a square root function in order to find the area bounded by the curve and the positive x and y axes. The integral is found by differentiating an appropriate function and rearranging and evaluating.
The graphical solution explains how to use the graphic...
Integrating to Find the Area Between a Curve and a Line
Given a straight line intersecting with a quadratic, the mathematical solution explains how to find the value of the area bounded by the line and the curve. The first step is to find the points of intersection of the line of the curve by equating and using the quadratic formula.
The second part of the...
Integration by Using a Suitable Substitution Example One
The mathematical solution explains how to use the substitution method to find the exact value of a definite integral. There is a detailed explanation of how to change the variable, including the change of value of the limits. The integration is then completed and the value of the definite integral calculated....
Integration by Using a Suitable Substitution Example Two
The mathematical solution explains how to use the substitution x = sin θ to find the exact value of an integration. The steps required to change the subject of the integration, including changing the values of the limits is explained. The final integral uses the fact that the differential of tanθ is equal to...
Investigating Stationary Points and Finding the Value of the First Derivative at a Particular Point on the Curve
The mathematical solution initially explains how to use calculus to find the stationary points of the curve y = x/(16+x2) by rewriting the equation as a product using index form and using the product rule to find the differential. The stationary points are found by equating the differential to zero and...
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.
Sketching a Quadratic Function by Firstly Expressing It in Completed Square Form
The mathematical solution explains how to sketch the function f(x) = x[sup]2[/sup] + 6x + 8 by firstly expressing the function in completed square form. A detailed explanation of how to find the completed square form is given. The graph of y = x[sup]2[/sup] is then drawn followed by a series of transformations...