Questions from General Calculus


Q: (a) Sketch a direction field for the differential equation y

(a) Sketch a direction field for the differential equation y = x/y. Then use it to sketch the four solutions that satisfy the initial conditions / / (b) Check your work in part (a) by solving the diff...

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Q: Determine whether the series is convergent or divergent. If it is

Determine whether the series is convergent or divergent. If it is convergent, find its sum.

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Q: Determine whether the sequence converges or diverges. If it converges,

Determine whether the sequence converges or diverges. If it converges, find the limit.

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Q: The Brentano-Stevens Law in psychology models the way that a

The Brentano-Stevens Law in psychology models the way that a subject reacts to a stimulus. It states that if R represents the reaction to an amount S of stimulus, then the relative rates of increase a...

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Q: Determine whether the series is convergent or divergent by expressing sn as

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum. If it is convergent, find its sum.

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Q: Find a polar equation for the curve represented by the given Cartesian

Find a polar equation for the curve represented by the given Cartesian equation.

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Q: The transport of a substance across a capillary wall in lung physiology

The transport of a substance across a capillary wall in lung physiology has been modeled by the differential equation where h is the hormone concentration in the bloodstream, t is time, R is the maxim...

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Q: Suppose the model of Exercise 22 is replaced by the equations

Suppose the model of Exercise 22 is replaced by the equations (a) According to these equations, what happens to the insect population in the absence of birds? (b) Find the equilibrium solutions and ex...

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Q: Barbara weighs 60 kg and is on a diet of 1600 calories

Barbara weighs 60 kg and is on a diet of 1600 calories per day, of which 850 are used automatically by basal metabolism. She spends about 15 cal/kg/day times her weight doing exercise. If 1 kg of fat...

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Q: Evaluate the integral. /

Evaluate the integral.

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