The diagram shows the region R bounded by the two parabolas Y = x2 and x = (y – 2)2 – 2 and the y – axis. Find the points indicated A and B in the diagram. (a)Find the area of the region R (b)Find the volume formed when R is rotated 2π radian […]
(a)Without using a calculator, solve the inequality (b) Deduce the range of values of x that satisfies. Solutions: (a): x≤-6 or 1≤x<3 or x>3 (b): 0<x≤e-6 or e≤x<e3 or x>e3 (a) (b) lnx ≤ -6 x ≤ e-6 1≤ lnx <3 e≤x<e3 lnx>3 x>e3 […]
The use of the vertical line test determines if a line equation is a function. If the vertical line intersects only 1 point, the line equation is a function. If the vertical line intersects more than 1 point, the line equation is not a function.
At the table, 5 boys and 4 girls are to be seated on a round table. How many ways can this be done if (i) there is no restrictions (ii) there is no restrictions and the seats are numbered (iii) 4 girls must sit together (iv) 3 particular boys cannot sit together Solution (i) 40320 […]