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Flights of Birds During daylight hours, some birds fly more slowly over water than over land because some of their energy is expended in overcoming the downdrafts of air over open bodies of water. Suppose a bird that flies at a constant speed of 4 mph over water and 6 mph over land starts its journey at the point E on an island and ends at its nest N on the shore of the mainland, as shown in the accompanying figure. Find the location of the point P that allows the bird to complete its journey in the minimum time (solve for x). Minimizing Travel Time A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline (see the accompanying figure).
how to solve problem-5 out of 6 people will eat vanilla ice cream . total amt of people is 144. How many will eat vanilla ice cream.
Use a graphing utility to graph A(x) and determine the dimensions of an open box with the smallest surface area possible.
Find the optimal solution to the LP Relaxation. Round down to find a feasible integer solution. Is this solution optimal? c. Find the optimal solution.
For a craft activity at a daycare, each child will need 1.75 yards of ribbon adn 2.8 yards of fabric. there are 25 yards of ribbon and 30 yards of fabric available. Estimate the number of children that can participate in the activity
Show that the tree-order associated with a rooted tree T is indeed a partial order on V(T), and verify the claims made about this partial order in the text. Do the partition classes of a regular bipartite graph always have the same size? Show that a ..
a ladder that leans against a building makes an angle of 75 degrees with the ground and reaches a point of the ladder 9.7 feet above the ground. find to the nearest meter the length of the ladder.
There are $640 available to build a fence around a rectangular garden. One side must be reinforced and will cost $12 per foot. The other three sides can be built for $4 per foot. Find the dimensions of the largest possible garden which can be buil..
an apple orchard has 60 trees planted per hectare and the average yield is 500 apples per tree. For each additional tree planted per hactare, the average yield per tree is reduced by approximately five apples. How many trees per hectare will give ..
Sketch the slope field for the ODE x'=(1-x^2)(sin(t)-x) . Sketch the slope fields for the solutions satisfying the given conditions: x(0)=0, x(0)=-0.5, x(0)=1, x(1)=1.5
A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
Use truth tables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so. Use truth tables to prove that an implication may not be equivalent to its converse. Site an example where this is so.
Calculate the probability that the return for common stocks
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