Strontium-90 90 Sr is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986, large areas surrounding the site were contaminated with 90 Sr . if 10 μg (micrograms) of 90 Sr is present in a sample, the function A t = 10 1 2 t / 28.9 gives the amount A t in μg present after t years. Evaluate the function for the given values of t and interpret the meaning in context. Round to 3 decimal places if necessary. (See Example 5) a . A 28.9 b . A 57.8 c . A 100
Strontium-90 90 Sr is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986, large areas surrounding the site were contaminated with 90 Sr . if 10 μg (micrograms) of 90 Sr is present in a sample, the function A t = 10 1 2 t / 28.9 gives the amount A t in μg present after t years. Evaluate the function for the given values of t and interpret the meaning in context. Round to 3 decimal places if necessary. (See Example 5) a . A 28.9 b . A 57.8 c . A 100
Solution Summary: The author calculates the remaining amounts of the radioactive element after different values of time t using the equation.
Strontium-90
90
Sr
is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986, large areas surrounding the site were contaminated with
90
Sr
. if
10
μg
(micrograms) of
90
Sr
is present in a sample, the function
A
t
=
10
1
2
t
/
28.9
gives the amount
A
t
in μg
present after t years. Evaluate the function for the given values of t and interpret the meaning in context. Round to 3 decimal places if necessary. (See Example 5)
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
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