Questions from General Calculus


Q: A model used for the yield of an agricultural crop as a

A model used for the yield of an agricultural crop as a function of the nitrogen level N in the soil (measured in appropriate units) is Y = KN/1 + N2 where is a positive constant. What nitrogen level...

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Q: The rate (in mg carbon/m3/h) at

The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 100I/I2 + I + 4 where I is the light intensity (measured in thousands of...

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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Q: If 1200 cm2 of material is available to make a box with

If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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Q: A box with a square base and open top must have a

A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount of material used.

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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Q: A rectangular storage container with an open top is to have a

A rectangular storage container with an open top is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs...

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Q: Find the limit. Use l’Hospital’s Rule where appropriate. If there

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’...

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