University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 8 - Practice Exercises - Page 475: 52


The job cannot be done for $\$ 11,000.00$

Work Step by Step

Using Simpson's Rule: $\int_a^b f(x) dx \approx T =\dfrac{\triangle x}{3}(y_0+4y_1+2y_2+4y_3+......+y_n)$ Plug in the data and we get $A \approx \dfrac{15}{3}(0+4(36)+2(54)+4(51)+......+42) $ or, $A \approx 6059 ft^2$ Total Cost: $\dfrac{\$ 2.10}{ft^2} \times 6059 ft^2 = \$ 12723.90$ So, the job cannot be done for $\$ 11,000.00$
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