Determine if the sequence is arithmetic. If the sequence is arithmetic, find the common difference.7, 11, 15, 19, . . .
A. yes, 4
B. yes, 12
C. no
D. yes, -4
Answer: A
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = 
(1 + t)3/2i + 
(1 - t)3/2j + 2tk
A. T = 
i - 
j + 
k; N = 
i + 
j
B. T = 
i + 
j + 
k; N = 
i + 
j
C. T = 
i - 
j + 
k; N = 
i + 
j
D. T = 4
i - 4
j + 2k; N = 3
i + 3
j
Find a parametrization for the line segment joining the points.(0, 0, 0), (-4, -5, 5)
A. x = -4t - 4, y = -5t - 5, z = 5t + 5 B. x = -4t + 4, y = -5t + 5, z = 5t - 5 C. x = 4t, y = 5t, z = -5t D. x = -4t, y = -5t, z = 5t
A city crew must paint the median divider along each of the 47 streets in the neighborhood shown below (starting and ending at A). The foreman wants to organize the route in the most efficient possible way.
An optimal eulerization of the graph that models this problem can be obtained by adding
A. 11 edges. B. 10 edges. C. 14 edges. D. 16 edges. E. none of these
Give a two column proof.
 FIGURE.png)