Determine which graph is nonplanar and indicate whether it contains a Utilities Graph or as a subgraph.


e.  III is nonplanar; it contains a Utilities Graph

Mathematics

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Express the integrand as a sum of partial fractions and evaluate the integral. dx

A. ln  -  +  + C
B. ln  -  +  + C
C. ln  +  + C
D. ln  -  + C

Mathematics

Evaluate the expression. All numbers are approximate. State your answer with the proper accuracy and precision.3.02(-60.5)2 - 2500/1.163 + 0.7285

A. 2.17 B. 13,397 C. 9424 D. 13,400

Mathematics

Solve the problem.A power outage affected all homes and businesses within a 10 mi radius of the power station. If the power station is located 11 mi north of the center of town, find an equation of the circle consisting of the furthest points from the station affected by the power outage.

A. x2 + (y + 11)2 = 100 B. x2 + (y - 11)2 = 10 C. x2 + (y - 11)2 = 100 D. x2 + y2 = 100

Mathematics

Solve the problem.The foundation for a cylindrical fountain is a cylinder 14 yd in diameter and 5 yd high. How many cubic yd of concrete are needed to build the foundation (to the nearest hundredth)?

A. 769.30 yd3  B. 3077.20 yd3  C. 439.60 yd3  D. 1538.60 yd3

Mathematics