The map in figure shows driving distances and times between California and Nevada cities. Use Kruskal's algorithm to find the minimum spanning tree for the following cities: Santa Rosa, San Francisco, Oakland, Manteca, Yosemite Village, Merced, Fresno, and San Jose.
A. 426 mi
B. 211 mi
C. 370 mi
D. 786 mi
E. 375 mi
Answer: E
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Find the inverse using composition.f(x) = (x - 20)2, x ? 20
A. f-1(x) = x2 + 20
B. f-1(x) =
C. f-1(x) = + 20
D. f-1(x) = -
The vector v has initial point P and terminal point Q. Write v as a position vector.P(-12, -4), Q(8, 9)
A.
B.
C.
D.
Find the domain of the function.f(x) = +
A. (-?, -9) ? (-9, 7) ? (7, ?) B. (-?, -9) ? (-9, ?) C. (-?, 7) ? (7, ?) D. (-?, ?)
For the function
?
(a) Find the critical numbers of f (if any);
(b) Find the open intervals where the function is increasing or decreasing; and(c) Apply the First Derivative Test to identify all relative extrema.
?
A. (a)
(b) increasing: ; decreasing:
(c) relative max: ; relative min:
?
B. (a)
(b) decreasing: ; increasing:
(c) relative min: ; relative max:
?
C. (a)
(b) increasing: ; decreasing:
(c) relative max: ; relative min:
?
D. (a)
(b) decreasing: ; increasing:
(c) relative min: ; relative max:
?
E. (a)
(b) increasing: ; decreasing:
(c) relative max: ; relative min: no relative min.
?