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Simulate a family of four children by flipping a coin 4 times, each flip of the coin represents one child in the family with male = tails, female = heads. Report the # of females in your simulated family. Now repeat this 30 times. When all the results are combined what is the proportion of females? Is the proportion the same in each of the individual families? Explain how this demonstrates the Law of Large Numbers.
Graph of a quadratic equation.
Solve the following algebraically
Find the value of X at which the minimum or maximum occurs.
Find the solution of the problem
Explain what an inverse function is and how you can determine when an inverse function will exist. What procedure is available to determine if two functions are inverses of each other? Explain its use and give an example.
Solving the logarithmic function.
Given a 1-variable linear equation 10z-4=86. Explain the techniques, and show the steps used for solving this equation. Check if the solution is correct.
Find the exact value to the expressions cos(alpha+beta) and sin(alpha+beta) and tan(alpha+beta) under the following conditions.. cos(alpha)=21/29, alpha lies in quadrant 4, and sin(beta)= -4/11, beta lies in quadrant 3.
What is factoring by grouping? When factoring a trinomial by grouping , why is it necessary to write the trinomial in four terms ?
Mixture problem.
Find a power series representation for f(x) = ln(1+x). What is the radius of convergence? Use part (a) to find a power series for f(x) = x ln(1+x).
Explain under what circumstances each method would be preferred over any of the other methods. Give an example for each circumstance.
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