As a teacher of Mathematics and Physics In Scotland I follow the Scottish Curriculum of Excellence and I focus on literacy, numeracyand health and wellbeing at every stage. I have produced a whole range of resources for the Mathematics and Physics departments,developing creative, differentiated materials that focus on thinking skills and encourage independent learning.
Find the volumes of the solids in Exercises $1-10$ .The base of a solid is the region bounded by the graphs of $y=\sqrt{x}$ and $y=x / 2 .$ The cross-sections perpendicular to the $x$ -axis area. isosceles triangles of height 6.b. semi-circles with diameters running across the base of the solid.
Write an equation that expresses the fact that a function $f$is continuous at the number $A$
If $f$ is continuous on $(-\infty, \infty),$ what can you say about itsgraph?
(a) From the graph of $f,$ state the numbers at which $f$ isdiscontinuous and explain why.(b) For each of the numbers stated in part (a), determinewhether $f$ is continuous from the right, or from the left,or neither.
From the graph of $g,$ state the intervals on which $g$ iscontinues
$5-8=$ Sketch the graph of a function $f$ that is continuous exceptfor the stated discontinuity.Discontinuous, but continuous from the right, at 2
