8 marksIntegration II
CAPE Pure Mathematics Unit 2 · May/June 2007 · Paper 2 · Question 1(a)
Section A (Module 1).
Solve, for x > 0, the equation 3\log_8 x = 2\log_x 8 - 5.
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Practise this questionOther parts of this question
- 1(b)(i)Copy and complete the table for values of
2^xande^{-x}using a calculator, approximating values to 2 decimal places.[3 marks] - 1(b)(ii)On the same pair of axes using a scale of 4 cm for 1 unit on the x-axis and 4 cm for 1 unit on the y-axis, draw the graphs of
y = 2^xandy = e^{-x}for…[5 marks] - 1(b)(iii)a)Use your graphs to find the value of
xsatisfying2^x - e^{-x} = 0.[2 marks] - 1(b)(iii)b)Use your graphs to find the range of values of
xfor which2^x - e^{-x} < 0.[2 marks]
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