A substance, X, is decaying such that the rate of change of the mass, x, is proportional
Question:
A substance, X, is decaying such that the rate of change of the mass, x, is proportional to four times its mass. Another substance, Y, is such that the rate of change of the mass, y, is equal to x - 2y. Initially the values of x and y are 20 and 0, respectively.
a. Find x as a function of t.
b. Find y as a function of t.
c. Determine the maximum value of y, giving your answer in an exact form.
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a To find x as a function of t we can use the information that the rate of change of x is p...View the full answer
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Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
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