Bece Model Questions Vol1 2019 Mathematics Question 8

Practice essay / theory question 8 from the 2019 Bece Model Questions Vol1 Mathematics examination. This question covers Approximation, Binomial approximation, Linear (differential) approximation, Error analysis .

Bece Model Questions Vol1 2019 Mathematics Essay / Theory

Topics: Approximation Binomial approximation Linear (differential) approximation Error analysis

Question 8 BECE_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • essay

A small business intends to increase its monthly production by 3 % each month. The current monthly output is 5 000 units.

Question Parts

( a )

Using the binomial approximation (1 + x)ⁿ ≈ 1 + nx for small x, estimate the production after 5 months. Show the steps of your calculation.

( b )

The exact production after 5 months is given by (1.03)⁵ × 5 000. Calculate the exact value (to the nearest unit) and determine the absolute error of the approximation obtained in part (a).

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About This Question

This is Bece Model Questions Vol1 2019 Mathematics Question 8. It is one of the essay questions from the 2019 Bece Model Questions Vol1 Mathematics examination.

The question covers Approximation, Binomial approximation, Linear (differential) approximation, Error analysis .

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