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Solution of the mathematical problem -- What techniques are used to solve the mathematical problem? Are you able to use standard techniques, e.g., the simplex method for linear programming? Do you need to develop a new algorithm to solve the problem, or use something different from the literature that we haven"t discussed in class? If so, explain how it works. Results -- What results do you obtain by solving the mathematical problem? How are they interpreted in terms of the original problem? Are the results reasonable? If not, what are the failings of the model that led to poor results?
A colony of bacteria grows according to the law of uninhibited growth. If 100 grams of bacteria are present initially, and 250 grams are present after two hours, how many will be present after 4 hours? Note: Do not round the value of k.
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
A plane flies 430 miles with the wind and 310 miles against the wind in the same length of time. If the speed of the wind is 30mph, what is the speed of the plane in still air?
Evaluate the length and width of the given rectangle using the area and the relation of length and width.
What do you feel are the advantages of using graphs to show the relationships between variables? Give examples that demonstrate your opinions.
what is the selling price of a watch that costs a jewelry store $70$ the store uses a markup of 38%.
How many folds does it take to reach the moon with a piece of paper .002 times thick when the distance of the moon is 243000 miles
Billy likes to go cycling. His bike has wheels of a diameter 75. He has invented a counter for his bike, which counts the revolutions the wheel makes. One day the counter shows 370 revolutions. How far has billy cycled?
Accurately and neatly graph and label each of the equations and estimate the point of intersection of the two lines.
Two carts A and B are connected by a rope 39 feet long that passes over pulley P. The point Q is on the floor directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 2 ft/sec.
Let |G| be finite and N be a normal subgroup of G. If xN is an element of G/N and has order a power of p, show that there exists a y element of G such that |y| is a power of p and yN=xN.
Obviously, its impossible to solve these problems by dividing, because the polynomials are such lage degree. Use one or more theorem to solve these problems without actually dividing.
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