Questions from General Calculus


Q: The half-life of the radioactive element tritium is 12 years

The half-life of the radioactive element tritium is 12 years. Find its decay constant.

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Q: A piece of charcoal found at Stonehenge contained 63% of the

A piece of charcoal found at Stonehenge contained 63% of the level of 14C found in living trees. Approximately how old is the charcoal?

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Q: From January 1, 2010, to January 1, 2017,

From January 1, 2010, to January 1, 2017, the population of a state grew from 17 million to 19.3 million. (a) Give the formula for the population t years after 2010. (b) If this growth continues, how...

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Q: Solve the following equations for x. 10-x =

Solve the following equations for x. 10-x = 102

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Q: A stock portfolio increased in value from $100,000 to

A stock portfolio increased in value from $100,000 to $117,000 in 2 years. What rate of interest, compounded continuously, did this investment earn?

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Q: An investor initially invests $10,000 in a risky venture

An investor initially invests $10,000 in a risky venture. Suppose that the investment earns 20% interest, compounded continuously, for 5 years and then 6% interest, compounded continuously, for 5 year...

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Q: Differentiate the following functions. y = (4x - 1

Differentiate the following functions. y = (4x - 1)(3x + 1)4

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Q: Differentiate the following functions. y = 2(5 -

Differentiate the following functions. y = 2(5 - x)3(6x - 1)

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Q: Compute d/dx f (g (x)), where f

Compute d/dx f (g (x)), where f (x) and g (x) are: f (x) = x4 - x2, g (x) = x2 - 4

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Q: Differentiate the following functions. y = x(x5 -

Differentiate the following functions. y = x(x5 - 1)3

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