Download Border Watch (Greyhawk Adventures Game Module) by Paul T. Riegel PDF
By Paul T. Riegel
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Extra info for Border Watch (Greyhawk Adventures Game Module)
Y x P (i) Find the coordinates of the point P. (ii) Find the gradient of the curve at P. (iii) Find the shaded area.    5. (i) Sketch the curve y = 2 − x − x2. (ii) Find the area enclosed by the curve and the x-axis between x = 0 and x = 2. 6. The diagram shows a cross-section of a tunnel. 5 metres along the cross section. Use the trapezium rule to estimate the area of the cross-section. 35 Is it an under-estimate or over-estimate? 5  © MEI, 07/04/09 1/2 MEI C2 Integration Assessment 7.
Y x( x 1) The graph cuts the x-axis at the origin and the point (1, 0). y This area is negative as it is below the x-axis. x 1 2 © MEI, 29/06/10 The areas above and below the x-axis must be calculated separately. 2/5 MEI C2 Integration Section 2 Exercise solutions 1 Area below x-axis x( x 1)dx 0 1 ( x 2 x )dx 0 1 31 x 3 21 x 2 0 31 21 61 2 Area above x-axis 31 x 3 21 x 2 1 83 2 31 21 56 Total area 61 56 1 square unit. 5. y x 2 2 x 3 ( x 3)( x 1) y x -3 -1 3 1 Area above x-axis ( x 2 2 x 3) dx 3 1 31 x 3 x 2 3 x 3 31 1 3 9 9 9 32 3 3 Area below x-axis 31 x 3 x 2 3 x 1 9 9 9 31 1 3 9 53 323 Total area 323 323 64 3 square units 6.
To build up the puzzle, place together the edges on which an integral and its solution are written, so that the triangles are joined along this edge. Begin by just finding pairs of integrals and solutions and placing them edge-to-edge. As you progress you will find that all of the pieces will eventually link up to form a large hexagon. By all means try this by yourself, but it is really designed to be a group activity. Working with other students will help to highlight any misconceptions you may have, as well as making the task more enjoyable.