Decide whether the situation involves permutations or combinations.A blend of 2 spices taken from 8 spices on a spice rack.
A. Permutation
B. Combination
Answer: B
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Find the general equation of the orthogonal trajectories of the curves for the given equations.The curves y = c cos x
A. y2 = 2 ln 
+ c
B. y2 = 2 ln 
+ c
C. y2 = ln 
+ c
D. y2 = 2 ln 
+ c
Four areas are newly designated as parks as shown below. Hiking trails are to be constructed so that each park is directly connected with each of the others.What is the least number of trails needed?
What will be an ideal response?
Solve the problem.How many ways can 100 balls be put into three boxes with 50 balls going into one box and 25 into each of the other two? (Do not evaluate.)
What will be an ideal response?
Use the table of integrals or a computer or calculator with symbolic integration capabilities to find the integral.
dx
A. 
+ C
B. 2x
+ 32ln(x + 
) + C
C. 
+ C
D. 2
+ C