IB Maths AA HL 2.10 Solving equations Question Bank

Practise IB Mathematics SL/HL 2.10 by applying solving equations methods to exam-style questions.

Exam points

[Maximum number: 3]

Consider the function f defined by $f(x)=90 \mathrm{e}^{-0.5 x}$ for $x \in \mathbb{R}^{+}$ .
The graph of f and the line y=x intersect at point P .

(a) attempt to find the point of intersection of the graph of f and the line y=x (M1)
$x=5.56619 \ldots$
=5.57

(a)

Find the x-coordinate of P .

The line L has a gradient of -1 and is a tangent to the graph of f at the point Q .

[ 2 ]

attempt to find the point of intersection of the graph of f and the line y=x (M1)
$x=5.56619 \ldots$
=5.57

(b)

Find the x-coordinate of the point where L intersects the line y=x.

[ 1 ]

$x=\ln 45+1(=4.81)$
A1

All question bank results loaded