Solve the problem.Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by 
. How much is remaining after 273 years? Round the answer to the nearest hundredth of a milligram.
A. 19,156.94 mg
B. 525.53 mg
C. 0.52 mg
D. 0.01 mg
Answer: C
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We use ln to denote the natural logarithm. The solution for t of the equation
is:
?
A. 
B. 
C. 
D. 
Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum 
, using the indicated point in the kth subinterval for ck.f(x) = x2 - 2, [0, 8], midpoint
A. 
B. 
C. 
D. 
Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
A. C = 103°, a = 64.4 m, b = 36.4 m B. C = 103°, a = 13 m, b = 23.1 m C. C = 97°, a = 12.8 m, b = 22.7 m D. C = 103°, a = 23.1 m, b = 13 m
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = 0.15x4 + 0.3x3 - 0.8x2 + 5; (-4, 2)
What will be an ideal response?