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Find the shortest path between the vertices a and z that passes through the vertex f in the weighted graph in Exercise 3 in Section 10.6.
Exercise 3
construct the dual graph for the map shown. Then find the number of colors needed to color the map so
An ice cream company finds that at a price of $5.00 demand is 6300 units. For every $0.15 decrease in price, demand increases by 135 units. Find the price and quantity sold that maximizes revenue. What is the price and quantity?
a manufacturing plant makes radios that each contain an integrated circuit ic supplied by three sources a b and c. the
Suppose that the integral of 20(1 + 2xf(x sqaure)) dx = 3. Find the integral of 40f(x) dx.(Hint: Consider a change of variable.)
would anyone be interested in taking an algebra class for a good price providing guaranteed A.
Two minor league baseball players got a total of 358 hits. Washington had 20 more hits than Sanchez. What are the number of hits for each player?
An object is dropped from the top of a 576 feet tall building. The height h (in feet) of the object t seconds after it is dropped is given h+-16*t^2+576. How long does it take the object to hit the ground?
Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
What percentage of the people who will improve their credit records within the next three years are the ones who currently who have good credit ratings?
A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
find any critical numbers for the function fxx610 and then use the second derivative test to decide whether the
What is the probability that exactly three of the six people selected have a college degree. Show work. What is the probability that all six people selected have a college degree? Show some work/explanation.
H = 4.8sin(pi/6)(t-10)+7.6, where domain of t is [0,24], and where t=0 corresponds to 12AM. When is the water level rising and falling? Find the relative extrema of H and interpret your results.
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