Sketch the graph of C and hence find the exact area of the finite region bounded by C and the x axis... The figure above shows a quadratic curve and a straight line with respective equa
Trang 1A cubic curve C has equation
( 4)( 1)2
y= x+ x− , x ∈ »
Sketch the graph of C and hence find the exact area of the finite region bounded by C
and the x axis
625 area
12
=
Trang 2The figure above shows a quadratic curve and a straight line with respective equations
2
y= −x + x− and y=x+4
The points A and B are the points of intersection between the quadratic curve and the
straight line
a) Find the coordinates of A and B
b) Determine the exact area of the finite region bounded by the quadratic curve
and the straight line, shown shaded in the above figure
(2, 6 ,) (5,9)
2
=
2
y= −x + x−
4
y=x+
y
x
B A
O
Trang 3The figure above shows the graph of the curve C with equation
y= x, x ≥0
The point P lies on C where x =4
The straight line L is the tangent to C at P
a) Find an equation of L
The finite region R , shown shaded in the figure, is bounded by C , L and the x axis
b) Find the exact area of R
4
y= x+ , 8
3
x
y
O
R
P
4
y= x
L