Find
. Write the answer in polar form with the argument between 0° and 360°z1 = 16(cos 39° + i sin 39°), z2 = 4(cos 16° + i sin 16°)
A. 4(cos 23° + i sin 23°)
B. 12(cos 23° - i sin 23°)
C. 12
D. 4(cos 55° + i sin 55°)
Answer: A
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Solve the problem.A large city is planning to upgrade its existing downtown water distribution system. Water will be fed into the area at the point represented by the vertex labeled A in the graph below. Water must be piped to each of 5 main distribution points, represented by the vertices B through F in the graph. City engineers have estimated the cost of laying the pipes to carry the water between each pair of points in millions of dollars, as indicated on the graph. They must now select which pipes should be laid, so that there is exactly one route for the water to be pumped from A to any one of the five distribution points (possibly via another distribution point), and they want to achieve this at minimum cost. Use Kruskal's algorithm to determine which pipes they should lay. Find
the total cost of laying the pipes you select.
What will be an ideal response?
Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions.
A. 7x + 9ln -
+ 3ln
+ C
B. 7x + 9ln -
+ 3ln
+ C
C. + 9ln
-
+ 3ln
+ C
D. 7x + 10ln +
+ 3ln
+ C
Use the distributive property to rewrite the expression.9(8r + 3 + 4s)
A. 72r + 3 + 36s B. 72r + 3 + 4s C. 72r + 27 + 36s D. 72r + 27 + 4s
Find the equation in slope-intercept form of the line satisfying the conditions.Slope -1; y-intercept (0, 8)
A. -x + y = 8 B. y = -x + 8 C. y = 8x - 1 D. y = 8x