Solve this problem using an incorrect Babylonian formula for the area of a trapezoid, namely, b1 + b2 S1 + S2 A = 2 2 A Babylonian tablet of 2000 B.C. gives two methods for calculating the diagonal d of a rectangle with sides of length 40 and 10 units. The first leads (in specific numbers) to the approximation 2ab2 d a+ 3600 where a is the larger side and b is the shorter side, and the second method to the approximation d at 2a Check the accuracy of these approximations to V1700 by squaring the respective answers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve this problem using an incorrect Babylonian
formula for the area of a trapezoid, namely,
b1 + b2 S1 + S2
A =
2
2
A Babylonian tablet of 2000 B.C. gives two methods
for calculating the diagonal d of a rectangle with sides
of length 40 and 10 units. The first leads (in specific
numbers) to the approximation
2ab2
d a+
3600
where a is the larger side and b is the shorter side, and
the second method to the approximation
d at
2a
Check the accuracy of these approximations to V1700
by squaring the respective answers.
Transcribed Image Text:Solve this problem using an incorrect Babylonian formula for the area of a trapezoid, namely, b1 + b2 S1 + S2 A = 2 2 A Babylonian tablet of 2000 B.C. gives two methods for calculating the diagonal d of a rectangle with sides of length 40 and 10 units. The first leads (in specific numbers) to the approximation 2ab2 d a+ 3600 where a is the larger side and b is the shorter side, and the second method to the approximation d at 2a Check the accuracy of these approximations to V1700 by squaring the respective answers.
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