The production rate r for an oil well in barrels/day is modeled by r(t)=130e^−0.2t where t is the number of years the well has been in production. Find the total oil production in the first 1 years of operation. Total production =  barrels

Q: The number of grams of a sample of radioactive substances that remains after t year is given by Q…

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Q: Water is flowing out of a water tower so that after t minutes ther are 10,000-10t-t^3 gallons…

A: Given that the volume of water flowing out  V(t)=10000−10t−t3

Q: ydx=(ye^y- 2x)dy

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Q: A bacterial culture began with 7500 bacteria it's growth can be modeled using an expotential…

A: N = 7500·2t36 Now, when t = 72 N = 7500·27236 N = 7500·22 N = 7500×4 = 30000

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Q: y=5x^3, y=5x, x>0

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A: First we calculate the slope of tangent at the given point

Q: A startup business projects its instantaneous rate of revenue flow to be given by R(x)=120,000e^.03t…

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Q: the growth of bacteria is modeled by the equation Y = 2^ x/3. For which value of x is y = 32 ?

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