Questions from General Calculus


Q: State the properties that graphs of the form y = ekx have

State the properties that graphs of the form y = ekx have in common when k is positive and when k is negative.

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Q: What are the coordinates of the reflection of the point (a

What are the coordinates of the reflection of the point (a, b) across the line y = x?

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Q: What is a logarithm?

What is a logarithm?

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Q: What differential equation is key to solving exponential growth and decay problems

What differential equation is key to solving exponential growth and decay problems? State a result about the solution to this differential equation.

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Q: If f (x) and g (x) are differentiable

If f (x) and g (x) are differentiable functions such that f (2) = f ‘(2) = 3, g (2) = 3, and g’(2) = 1/3, compute the derivative: d/dx [x(g (x) - f (x))] |x=2

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Q: What is a growth constant? A decay constant?

What is a growth constant? A decay constant?

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Q: What is meant by the half-life of a radioactive element

What is meant by the half-life of a radioactive element?

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Q: Given f (1) = 1, f ‘(1

Given f (1) = 1, f ‘(1) = 5, g (1) = 3, g’(1) = 4, f ‘(3) = 2, and g ‘(3) = 6, compute. d/dx [ f (g (x))] |x=1

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Q: Explain how radiocarbon dating works.

Explain how radiocarbon dating works.

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Q: State the formula for each of the following quantities: (

State the formula for each of the following quantities: (a) The compound amount of P dollars in t years at interest rate r, compounded continuously (b) The present value of A dollars in n years at int...

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