Questions from General Calculus


Q: A town library estimates that, when the population is x thousand

A town library estimates that, when the population is x thousand persons, approximately y thousand books will be checked out of the library during 1 year, where x and y are related by the equation y3...

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Q: Suppose that the price p and quantity x of a certain commodity

Suppose that the price p and quantity x of a certain commodity satisfy the demand equation 6p + 5x + xp = 50 and that p and x are functions of time, t. Determine the rate at which the quantity x is ch...

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Q: An offshore oil well is leaking oil onto the ocean surface,

An offshore oil well is leaking oil onto the ocean surface, forming a circular oil slick about .005 meter thick. If the radius of the slick is r meters, the volume of oil spilled is V = .005πr2 cubic...

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Q: At the beginning of 1990, 20.2 million people lived

At the beginning of 1990, 20.2 million people lived in the metropolitan area of Mexico City, and the population was growing exponentially. The 1995 population was 23 million. (Part of the growth is du...

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Q: Function h(x) is defined in terms of a differentiable

Function h(x) is defined in terms of a differentiable f (x). Find an expression for h(x). h(x) = 2 f (2x + 1)

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Q: Animal physiologists have determined experimentally that the weight W (in kilograms

Animal physiologists have determined experimentally that the weight W (in kilograms) and the surface area S (in square meters) of a typical horse are related by the empirical equation S = 0.1W2/3. How...

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Q: Suppose that a kitchen appliance company’s monthly sales and advertising expenses are

Suppose that a kitchen appliance company’s monthly sales and advertising expenses are approximately related by the equation xy - 6x + 20y = 0, where x is thousands of dollars spent on advertising and...

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Q: Differentiate the function. y = ln (5x - 7

Differentiate the function. y = ln (5x - 7)

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Q: The BMI is usually used as a guideline to determine whether a

The BMI is usually used as a guideline to determine whether a person is overweight or underweight. For example, according to the Centers for Disease Control, a 12-year-old boy is at risk of being over...

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Q: Differentiate the function. y = ln(9x)

Differentiate the function. y = ln(9x)

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