The following table gives the density D (in gm/cm³) of the earth at a depth x km below the earth's surface. The radius of the earth is about 6370 km. X i D Find an upper bound for the earth's mass that you can give based on this data. 5.38 0 1000 2000 2900 3000 4000 5000 6000 6370 3.3 4.5 5.1 5.6 10.1 11.4 12.6 13.0 13.0 Round your answer to two decimal places. i 7.06 x1027 g Find the best lower bound for the earth's mass that you can give based on this data. Round your answer to two decimal places. X1027 g

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Jata

The following table gives the density D (in gm/cm³) of the earth at a depth x km below the earth's surface. The radius of the earth is
about 6370 km.
D
Mi
0
3.3
Find an upper bound for the earth's mass that you can give based on this data.
5.38
Round your answer to two decimal places.
i 7.06
x1027 g
Find the best lower bound for the earth's mass that you can give based on this data.
Round your answer to two decimal places.
X1027
1000 2000 2900 3000 4000 5000 6000 6370
4.5 5.1 5.6 10.1 11.4 12.6 13.0 13.0
g
Transcribed Image Text:The following table gives the density D (in gm/cm³) of the earth at a depth x km below the earth's surface. The radius of the earth is about 6370 km. D Mi 0 3.3 Find an upper bound for the earth's mass that you can give based on this data. 5.38 Round your answer to two decimal places. i 7.06 x1027 g Find the best lower bound for the earth's mass that you can give based on this data. Round your answer to two decimal places. X1027 1000 2000 2900 3000 4000 5000 6000 6370 4.5 5.1 5.6 10.1 11.4 12.6 13.0 13.0 g
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