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The differential equation below models the temperature of a 86°C cup of coffee in a 16°C room, where it is known that the coffee cools at a rate of 1°C per minute when its temperature is 70°C. Solve the differential equation to find an expression for the temperature of the coffee at time t.
dy/dt= - 1/54(y - 16)
a car is traveling along a straight level road at 45 mph (66 ft/s). when the driver is forced to apply the breakes to avoid accident. if the breakes supplied a constant deacceleration of 22 ft/s^2. how far does the car travel before coming to a co..
How much would you have in a bank account at the end of 9 years if $9,390 is invested at 3% compounded quarterly?
The following linear trend equation was developed for annual sales from 1984 to 1990 with 1984 the base or zero year. Y1 = 500 + 60X (in $ thousands). What are the estimated sales for 1984?
What is the average cost per unit to produe 100 units?
A stone is thrown into a lake, and t seconds after the splash the diameter of the circle of ripples is t meters. Express the circumference C of this circle as a function of t.
Solving probability problems based on empirical rule
Using the definition of big-O, show that 2n element of O(6*n^2). Using the definition of big-O, show that 6n^2 not element of O(2n)
From the sensitivity analysis, which warehouse site should have had more paper allocated to it at the start of the week and by how much per tonne would the overall cost of transport have been reduced?
How much money (total) do you have after the 5 years pass and how much do you earn in interest over the 5 years?
What is the probability that Cass answers all of the questions correctly? What the probability that he answers 3 questions correctly?
The Action Sports Network surveyed 265 of its viewers to determine which sports they watched most often. The results of the survey showed:
The derivative from the rate of changes
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