(c) Coal is extracted from a mine at a rate that is proportional to the amount of coal that remains in the mine. Show that if R is the amount that remains after t years, R. is the initial amount of coal in the mine and k is a constant then R = R,e Given that after 10 years, 80% of the initial amount of coal remains, find the value of the constant k. (i) (ii) find the time taken for 50% of the initial amount of coal to remain.

(c) Coal is extracted from a mine at a rate that is proportional to the amount of coal that remains in the mine. Show that if R is the amount that remains after t years, R. is the initial amount of coal in the mine and k is a constant then R = R,e Given that after 10 years, 80% of the initial amount of coal remains, find the value of the constant k. (i) (ii) find the time taken for 50% of the initial amount of coal to remain.

Name: 2c. Please show steps (c) Coal is extracted from a mine at a rate that
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Description: 2c. Please show steps (c) Coal is extracted from a mine at a rate that is proportional to the amount of coalthat remains in the mine. Show that if R is the amount that remains after t years,R. is the initial amount of coal in the mine and k is a cons

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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