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a) What is Euler's formula for connected planar graphs?
b) How can Euler's formula for planar graphs be used to show that a simple graph is nonplanar?
A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in3 what were the original dimensions of..
The perimeter of a regulation singles tennis court is 210 feet and the length is 3 feet less than three times the width. What are the dimensions of the court?
Suppose someone offers to pay you $100 if you draw 3 cards from a standard deck of 52 cards and all the cards are clubs. What should you pay for the chance to win
a stone is dropped from a bridge 144 feet above the water. at any tgt0 the position of the stone above the water level
determine how long it takes the tank to drain if the fluid level
What is the net present value of the more attractive alternative?
What happens when smog lifts in Los Angeles, California? I know the answer, but I don't know what it looks like on my paper
if three socks are picked at random, what is the probability that at least two are the same color?
A local high school offers a hockey or a soccer program for its Grade 12 students. There are 75 students enrolled in hockey and 60 students enrolled in soccer. However, there are only 100 students in Grade 12. Explain how this is possible.
An economy has three markets with supply and demand functions for the three goods given by q = —20 + 3/31 — P2 qi = 255 — 2p1 — p3 q2 = -125 + 2p2 - pi - P3D onn q2 — ziuu — p2 nS A, = -±p3 2pi q3 = 225 — 2p3 — pi Use Cramer's rule to solve for the..
Find a basis for the subspace spanned by the given vectors.
A rancher has 288 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce the largest total area.
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