Find the coefficient of x5 in the
(2 x 3)
Solve the equations:
Consider the functionf x x 3 5 x 2 7 x 50
Draw the tangent to the curve at x=0 and
give its equation.
Find the other point of intersection of this
tangent with the curve.
8) Find the equation of the tangent
and normal at x =3 of the following
Find the area between the curve
x( x 6) and the x-axis .
Represent on the same pair of axes f(x),
its inverse function and the line y=x.
Consider the function
(a) Write down the equations of the asymptotes to the
(b) Find the set of values of for which
(c) Find the gradient at -5
(d) Explain why
0 for any value of x.
Given f x
and g x
ln 1 x
a. Write down the domain of g.
b. Sketch the graph of f for f(x) >0
c. Write down the coordinates of the maximum point on the
graph of f.
lim f x
e. Find the x-coordinate of the points at which the graphs of
f and g have the same gradient in the interval 0<x<1.5
On the same pair of coordinate
axes draw the graphs of the function
f(x) and its inverse function if.
State the domain of f(x) and its inverse.
Solve the equations
x 1 x 2