Find the least common denominator for the expression.
+ 
A. m(m + 5)(m - 2)
B. m(m + 7)(m - 2)
C. (m + 7)2
D. m(m + 7)2
Answer: A
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Use integration by parts to establish a reduction formula for the integral.
A. 
= - 
+ 
B. 
= - 
+ 
C. 
= - axn e-ax + na 
D. 
= 
- 
Solve the problem.Let u = 2i + 8j, v = 2i + 3j, and w = i - j. Write u = u1 + u2 where u1 is parallel to v and u2 is parallel to w.
A. u1 = 4v u2 = -24w B. u1 = 3v u2 = 2w C. u1 = 0.5000 v u2 = -0.5000w D. u1 = 2.000 v u2 = -2.000w
Compute the range for the set of data.0.228, 0.115, 0.497, 0.42, 0.636, 0.284
A. 0.115 B. 0.363 C. 0.521 D. 0.636
Solve the problem.The number of hours of sunlight in a day can be modeled by a sinusoidal function. In the northern hemisphere, the longest day of the year occurs at the summer solstice and the shortest day occurs at the winter solstice. In 2000, these dates were June 22 (the 172nd day of the year) and December 21 (the 356th day of the year), respectively. A town experiences 11.23 hours of sunlight at the summer solstice and 8.03 hours of sunlight at the winter solstice. Find a sinusoidal function 
that fits the data, where x is the day of the year. (Note: There are 366 days in the year 2000.)
A. y = 1.6 sin 
+ 9.63
B. y = 11.23 sin 
+ 8.03
C. y = 11.23 sin 
+ 9.63
D. y = 1.6 sin 
+ 9.63