Higher Mathematics Homework for Monday 11/11/2013
1.
Triangle ABC has vertices A(1, 12)
B(2, 5) and C(7, 2).
(a) Find the equation of the median BD
(3)
(b) Find the equation of the altitude AE.
(3)
(c) Find the coordinates of the point
of intersection of BD and AE.
(3)
2.
The graph of the cubic function y  f ( x)
is shown in the diagram.
There are turning points at (1, 1) and (3, 5).
Sketch the graph of y  f ( x)
( 3)
3.
a) Write f ( x)  x2  6 x  11 in the form  x  a 2  b
b) Hence or otherwise sketch the graph of y  f ( x)
(2)
(2)
4.
The point P(–1, 7) lies on the curve with equation y  5 x 2  2 .
Find the equation of the tangent to the curve at P.
(4)