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Answer each question as a discussion form with 25 to 50 words:
1) Make up a differential equation that you feel confident possesses only the trivial solution y = 0. Explain your reasoning.
2) What is missing here; can I specify y(0)=0? Because if I can, then the differential equation dy/dx = ex - x for y(0) = 0 possesses only the trivial solution since it is the derivative of the equation y(x)=ex - 1
3) For a function to have only a trivial solution of zero, I think we need a function that is zero everywhere which we can then take the derivative of. If am not mistaken, Sin y - sin (pi - y) = 0 for any value of y. The derivative of this function is cos y - cos (pi- y) which is zero too. Is that correct?
The price of a gallon of unleaded gas has risen to $2.90 today. Yesterday's price was $2.85 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
At the instant when the water in the container is 3 inches deep, the surface level is falling at the rate of -0.90 in./s. Find the rate at which water is being drained.
Another client, Wynona, decides that she will invest $5,000 per year in a 5% annuity for the first ten years, then $6,000 for the next ten years, and then $4,000 per year for the last ten years, how much will she accumulate?
In her wallet, Susan has 12 bills. 6 are $1 bills, 2 are $5 bills, 3 are $10 bills, and 1 is a $20 bill. She passes a volunteer seeking donations for the American Red Cross and decides to select 1 bill at random. Determine
a new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the
A building is 133 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 17 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
The Probability of a Random Number. A number n is chosen at random from the set {1, 2, ..., 20}. We are interested in k, the integer power of 2 which exactly divides n. Recall that we say that 2k exactly divides n if 2^k|n but 2^(k+1) |/ n. We wri..
The average SAT math scores M of potential college students can be approximated by M = 1.4t + 518, where t is the number of years since 2004.
The cruise-control function on Georgina's car should keep the speed of the car within 3mi/h of the set speed. Write a compound inequality to show the acceptable speed s if the set speed is 55 il/h. graph the solutions.
Find the slope and the equation of the horizontal line that passes through (-325, 185) Find the slope and the equation of the vertical line that passes through (-325, 185) Find the difference quotient of f(x) = 1/x^2
Let X be a set and a binary relation on X .
a trough is 12 ft long, 2ft high and 2ft wide at the top and has isosceles triangular ends. if water is put in at the rate of 1ft^3 per minuter, how fast is the depth increasing when it is 1.5 ft deep?
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