The cost of designing an aircraft, $A per kilogram, at time t years after 1950 can be

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The cost of designing an aircraft, $A per kilogram, at time t years after 1950 can be modelled as a continuous variable. The rate increase of A is directly proportional to A.

a. Write down a differential equation that is satisfied by A.

b. In 1950, the cost of designing an aircraft was $12 per kilogram. Show that A = 12ekt, where k is a positive constant.

c. After 25 years, the cost of designing an aircraft was $48 per kilogram. Find the cost of designing an aircraft after 60 years.

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Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

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Question Posted: Apr 05, 2023 11:07 AM

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The cost of designing an aircraft, $A per kilogram, at time t years after 1950 can be

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a Since the rate of increase of A is directly proportional to A we can express this relations...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

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