(a) It is currently accepted that the half-life of carbon-14 might vary ± 40 years from its nominal value of 5730 years. Does this variation make it possible that the Shroud of Thin dates to the time of Jesus of Nazareth (see Example 7)? (b) Review the subsection of Section 3.5 entitled Error Propagation, and then estimate the percentage error that results in the computed age of an artifact from an r % error in the half-life of carbon-14.
(a) It is currently accepted that the half-life of carbon-14 might vary ± 40 years from its nominal value of 5730 years. Does this variation make it possible that the Shroud of Thin dates to the time of Jesus of Nazareth (see Example 7)? (b) Review the subsection of Section 3.5 entitled Error Propagation, and then estimate the percentage error that results in the computed age of an artifact from an r % error in the half-life of carbon-14.
(a) It is currently accepted that the half-life of carbon-14 might vary
±
40
years from its nominal value of 5730 years. Does this variation make it possible that the Shroud of Thin dates to the time of Jesus of Nazareth (see Example 7)?
(b) Review the subsection of Section 3.5 entitled Error Propagation, and then estimate the percentage error that results in the computed age of an artifact from an
r
%
error in the half-life of carbon-14.
A driver is traveling along a straight road when a buffalo runs into the street. This driver has a reaction time of 0.75 seconds. When the driver sees the buffalo he is traveling at 44 ft/s, his car can decelerate at 2 ft/s^2 when the brakes are applied. What is the stopping distance between when the driver first saw the buffalo, to when the car stops.
Topic 2
Evaluate S
x
dx, using u-substitution. Then find the integral using
1-x2
trigonometric substitution. Discuss the results!
Topic 3
Explain what an elementary anti-derivative is. Then consider the following
ex
integrals: fed dx
x
1
Sdx
In x
Joseph Liouville proved that the first integral does not have an elementary anti-
derivative Use this fact to prove that the second integral does not have an
elementary anti-derivative. (hint: use an appropriate u-substitution!)
1. Given the vector field F(x, y, z) = -xi, verify the relation
1
V.F(0,0,0) = lim
0+ volume inside Se
ff F• Nds
SE
where SE is the surface enclosing a cube centred at the origin and having edges of length 2€. Then,
determine if the origin is sink or source.
University Calculus: Early Transcendentals (4th Edition)
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