Find the orthogonal trajectories of the family of curves. Sketch several members of each family.kx2 + y2 = 1
What will be an ideal response?
y = Cx1/k
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Solve.A sequence of yearly payments of $5000 is invested at the end of each of 8 years at an interest rate of 4.5%%, compounded annually. What is the total amount of the annuity after 8 years?
A. $46,900.07 B. $46,400.07 C. $45,900.07 D. $47,900.07
Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?
A. 0.438 B. 0.487 C. 0.91 D. 0.856
Find the limit, if it exists. 
What will be an ideal response?
Use the fundamental counting principle to count the number of outcomes. A shoe store carried one brand of shoe in 5 styles, 5 sizes, and 4 colors. How many types of shoes were available for this one brand?
A. 125 B. 14 C. 40 D. 100