Use the quotient rule to show that g'(x)= 1-2 1n x
(b) The graph of has maximum point at A. Find the x-coordinate of A.
The following diagram shows part of the graph of the function f(x) 22
diagram not scale
The line Tis the tangent tothe graph of
(a) Show that the equation of Tisy=4x-2
(b) Find the r-intercept of T.
(c) The shaded region R seclosed by the graph of f, the line T. and the r-axis.
Write down an expression for the area of R.
Find the area of R.
The following diagram shows part of the graph of quadratic function f.
The r-intercepts are at(-4, (6.0)and the -intercept is at (0. 240).
(a) Write down the -10(x p)(x q).
(b) Find another expression for Nx) in the -10(x h² +k
(c) Show that f(x) can also be written in the form f(x) = 240+ 20x 10x2.
A particle moves along straight line so that its velocity. time seconds is given by
V= 240+ 20r- 102. for0<1<6
Find the value of when the speed of the particle greatest
(ii) Find the acceleration of the particle when its speed zero.
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