Final Exam | Time: 3 hours |
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Answer: .
Answer: .
Answer: .
Answer: .
Answer: The angle is approximately .
Answer: The values are:
Answer: Let x be the number of
Doberman pinschers, and y be the number of German shepherds. The system of inequalities is:
Answer: The angles are , and .
Answer:
Answer:
Answer:
Write your solutions in standard form.
Answer: The answers are:
Show all steps.
Answer:
Answer: The equation
is:
Answer: The set of parametric equations is
Answer:
Answer: The formula for finding the sum of an infinite
geometric sequence is . In this case a=7 and r=-3/7; thus the sum of the given
sequence is
Answer: There are four solutions:
Answer: The 4 employees can be chosen in 495 different ways.
Answer: The 4 employees can be chosen in 11880 different ways.
Answer: .
Answer: .
Answer: .
Answer: The nth term has the form
Answer: The equation of the tangent line is
.
Answer: The unit vector is
.
Answer:
You must show that
To do this, write the following:
Combining the results from the two parts, it is concluded by mathematical induction that the formula is valid for every positive integer.