Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.11x2 - 4xy + 7y2 - 8x + 8y = 0
A. x = 
x' - 
y' and y = 
x' + 
y'
B. x = -y' and y = x'
C. x = 
(x' - y') and y = 
(x' + y')
D. x = 
x' - 
y' and y = 
x' + 
y'
Answer: A
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Find the first five partial sums of the given series and determine whether the series is convergent or divergent. If it is convergent, then find its sum.
A. 0.6667, 0.8, 0.8571, 0.8889, 0.9091; divergent B. 0.1667, 0.2083, 0.225, 0.2333, 0.2381; convergent; 0.25 C. 0.1667, 0.2083, 0.225, 0.2333, 0.2381; convergent; 0.2381 D. 0.1667, 0.2083, 0.225, 0.2333, 0.2381; divergent
Solve.A Ferris wheel has a radius r of 25.8 feet. The height of the tower t is 35.5 feet. The distance d from the origin to the base is 32.6 feet. Find the standard form equation of the circle represented by the Ferris wheel. 
A. (x + 32.6)2 + (y + 35.5)2 = 25.8 B. (x - 32.6)2 + (y - 35.5)2 = 665.64 C. (x + 32.6)2 + (y + 35.5)2 = 665.64 D. (x - 32.6)2 + (y - 35.5)2 = 25.8
?Which of the following is not an example of a true statement? ?
A. ?If a number is divisible by 9, then it is divisible by 3. B. ?If a number is divisible by 3, then it is divisible by 9. C. ?If a number is divisible by 4, then it is divisible by 2. D. ?If the number "n" is divisible by "m", and "m" is divisible by p, then "n" is divisible by "p". E. ?If a number is divisible by 12, then it is divisible by 6.
A city was incorporated in 2004 with a population of 25,000. It is expected that the population will increase at a rate of 2% per year. The population n years after 2004 is given by the sequence  figure 1.png)
Find the population in 2014.
(a) 26,530 (b) 27,061 (c) 30,475 (d) 32,987 (e) none of these