Solve the equation by completing the square.x2 + 14x = -5
A. {-7 ± 2
}
B. {2
± 7}
C. {-7 ± 2
}
D. {± 2
}
Answer: C
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Find the unit tangent vector of the given curve.r(t) = 12t5i - 4t5j + 3t5k
A. T = 
i + 
j + 
k
B. T = 
i - 
j - 
k
C. T = 
i - 
j + 
k
D. T = 
i - 
j + 
k
Use natural logarithms to solve the exponential equation. If necessary, round to the nearest thousandth.7x+6 = 3x
A. 13.780 B. -15.650 C. -13.780 D. -11.910
Change the fraction 
to an equivalent decimal number and percent.
A. 325; 325% B. 3.25; 325% C. 3.25; 32.5% D. 3.25; 3.25%
Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 628 with r = 1.5. Write a recursive sequence that describes this data, where an denotes the insect density during year n.Find the terms a1 , a2 , a3 , ...., a5 . Round to two decimal places, if necessary.
A. a1 = 628, a2 = 942.00, a3 = 1413.00, a4 = 2119.50, a5 = 3179.25 B. a1 = 628, a2 = 628, a3 = 628, a4 = 628, a5 = 628 C. a1 = 942.00, a2 = 1413.00, a3 = 2119.50, a4 = 3179.25, a5 = 4768.88 D. a1 = 628, a2 = 314.00, a3 = 157.00, a4 = 78.50, a5 = 39.25