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The half-life of cesium-137 is 30 years. Suppose we have a 200 mg sample.
Find the mass that remains after t years.
How many weighings of a balance scale are needed to find a lighter counterfeit coin among four coins? Describe an algorithm to describe the lighter coin using this number of weighings.
All of the graphs in occur in real life. Find a real-life application of each of the below graph and describe the characteristics of each application as related to the graph.
A regression analysis
Evaluate the width of the lake and Show your method of solution. You may use geometric vector
Evaluate the constant of variation and write an equation of direct variation
Solve The heat equation du/dt = d^2u / dx^2 (note: partial derivatives), u(x, 0) = sin^2(x), u(0, t) = 0, u(Pi, t) = 0, 0
Problems on linear regression equation
Please solve the following system of equations using both of these methods (solve once using substitution and once using elimination):
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle
The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,000 per day. FSF suppies hot dogs to local restaurants at a steady rate of 250 per day.
What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.
Regardless of the choice of parameter u. Determine the range of u values for which this fixed point is stable.
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