Paper 2 MAY/JUNE SESSION 2002 MATHEMATICH (9709/2) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

a) By sketching a suitable pair of graphs, show that the equation
${e^{2x}} = 14 - {x^2}$
has exactly two real roots.
b) Show by calculation that the positive root lies between 1.2 and 1.3.
c) Show that this root also satisfies the equation
$x = \frac{1}{2}ln\left( {14 - {x^2}} \right)$.
d) Use an iteration process based on the equation in part (c), with a suitable starting value, to…