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Greg drove at a constant speed in a rainstorm for 245 miles. He took a break, and the rain stopped He then drove 104 miles at a speed that was 3 miles per hour faster than his previous speed. If he drove for 7 hours, find the car's speed for each part of the trip.
The rate of the car in the rain was how many mph?
The rate of the car without the rain was how many mph?
Find the area of the region enclosed by one loop of the curve. Find the exact length of the polar curve.
You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat
how many chairs of each type should be made to maximize the profit. need to formulate as an integer programming problem.
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a sinle-strand electric fence. With 1000 meters of wire at your disposal,
you have the following data on 1 the average annual returns of the market for the past 5 years and 2 similar
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
Calculate the average rate of change of the given function over the general interval. f(x) = 1/x; [6,10]
The gambler decides to stop at time 4 or whenever two consecutive heads come up, if earlier. What is the expected surplus at the end of the game?
The two formulas f(t)=Pa^t and f(t)=Pe^rt provide two models for the same exponential growth or decay function. How are the exact values of a and r related? (Find a formula for a as a function or r.
Suppose we had a 66 million year old dinosaur fossil. How much of the living dinosaur's 14C would be remaining today?
Formulate a linear programming model for this problem. Solve the model by using graphical analysis (Do not round the answers) and How much labor and wood will be unused if the optimal numbers of chairs and tables are produced
1. consider the function f de?ned bythe ?rst and second derivatives of f area determine the domain of f . write your
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