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

Mathematics

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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) = - 

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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.

Mathematics

Find the domain of the function.f(x) =  + 

A. (-?, -9) ? (-9, 7) ? (7, ?) B. (-?, -9) ? (-9, ?) C. (-?, 7) ? (7, ?) D. (-?, ?)

Mathematics

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.

?


Mathematics