We want to compute the area of a cylindrical water tank. The radius of the base is 3.141 ±.0005 meters, and the height is 1.234+0.0005 meters. Give the best estimate for the area, including plus- or-minus. (Note: formula for area is 2h + ², where r is the radius and h is the height.) Every evening, the probability that I will see a deer is 0.1, accurate to 4 percent. What is the probability that I will see a deer every evening for the next 7 days? Give also a percentage error for your estimate. (Note: the probabilities should be multiplied.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please do Q2 and Q3 and please show work. These questions is over propagation of Errrors

Questions for section 1.06, propagation of errors
1. The U.S. national debt is $19,518,900,000,000 valid to within $1,000,000. What is the number of
significant figures?
2. We want to compute the area of a cylindrical water tank. The radius of the base is 3.141 ±.0005
meters, and the height is 1.234±0.0005 meters. Give the best estimate for the area, including plus-
or-minus. (Note: formula for area is 2лrh+², where r is the radius and h is the height.)
3. Every evening, the probability that I will see a deer is 0.1, accurate to 4 percent. What is the
probability that I will see a deer every evening for the next 7 days? Give also a percentage error
for your estimate. (Note: the probabilities should be multiplied.)
Transcribed Image Text:Questions for section 1.06, propagation of errors 1. The U.S. national debt is $19,518,900,000,000 valid to within $1,000,000. What is the number of significant figures? 2. We want to compute the area of a cylindrical water tank. The radius of the base is 3.141 ±.0005 meters, and the height is 1.234±0.0005 meters. Give the best estimate for the area, including plus- or-minus. (Note: formula for area is 2лrh+², where r is the radius and h is the height.) 3. Every evening, the probability that I will see a deer is 0.1, accurate to 4 percent. What is the probability that I will see a deer every evening for the next 7 days? Give also a percentage error for your estimate. (Note: the probabilities should be multiplied.)
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