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Consider the differential equation dy/dx = [3e^(-2t)][y^2-7y+10]. By considering the slope field for this differential equation, determine whether the equilibrium states are stable or unstable. Make your analysis clear.
calc the revenue in dollars for producing x chairs is given by r(x)=50 and the cost to produce the chairs is given by x(x)=.001 x^3-.1x^2+12x+1500. Find the production level that will maximize the profit.
What is the probability of getting the indicated result
a person purchased some bags of insulation for $1000.if she had purchased 5 more bags for the same sum,they would have cost 12 cent less per bag.how many did she buy?
If your real estate taxes are $4,500 annually and you know that the rate is 3%, what is the value of your house?
The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2.
What price should the company charge in order to maximize total revenue? What is the maximum revenue?
At a certain time of day, a building 300 m tall casts a shadow of 225 m, whereas a second building casts a shadow of 150 m. How tall is the second building?
A sum of $1,000 was invested for 4 years, and the interest was compunded semiannually. If the sum amounted to $1,300.24 in the given time, what was the interest rate?
A jar contains m+n tickets, numbered 1,2,...,n+m. A set of size n is drawn. If we let X be the number of tickets drawn, whose numbers exceed each of the numbers of those remaining, compute the probability mass function of X.
a math student has a 100 homework average and test grades of 99,100 and 97. what is the lowest grade the student can get on the final exam and still get an A (an average of 90 or better) in the class?
You want to create a mileage grid showing the distance between every pair of the 50 U.S. state capitals. How many numbers will you have to compute?
Marsha bought a boat at a clearance sale from Big Ed's Boats. She bought it for $12,000, which was 35% off of the original price. How much did it cost before Big Ed marked it down?
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