Questions from General Calculus


Q: Solve the equation y' = x √x2 + 1/ (

Solve the equation y' = x √x2 + 1/ (y ey) and graph several members of the family of solutions (if your CAS does implicit plots). How does the solution curve change as the constant C varies?

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Q: The function with the given graph is a solution of one of

The function with the given graph is a solution of one of the following differential equations. Decide which is the correct equation and justify your answer.

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Q: (a). Use a computer algebra system to draw a direction

(a). Use a computer algebra system to draw a direction field for the differential equation. Get a printout and use it to sketch some solution curves without solving the differential equation. (b). Sol...

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Q: Sketch the direction field of the differential equation. Then use it

Sketch the direction field of the differential equation. Then use it to sketch a solution curve that passes through the given point.

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Q: In a murder investigation, the temperature of the corpse was 32

In a murder investigation, the temperature of the corpse was 32.50C at 1:30 PM and an hour later. Normal body temperature is 37.00C and the temperature of the surroundings was 20.00C. When did the mur...

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Q: Use a computer algebra system to draw a direction field for the

Use a computer algebra system to draw a direction field for the given differential equation. Get a printout and sketch on it the solution curve that passes through (0, 1). Then use the CAS to draw the...

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Q: Suppose the series ∑cnxn has radius of convergence 2 and the

Suppose the series ∑cnxn has radius of convergence 2 and the series ∑dnxn has radius of convergence 3. What is the radius of convergence of the series ∑(cn + dn)?

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Q: Use a computer algebra system to draw a direction field for the

Use a computer algebra system to draw a direction field for the given differential equation. Get a printout and sketch on it the solution curve that passes through (0, 1). Then use the CAS to draw the...

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Q: Psychologists interested in learning theory study learning curves. A learning curve

Psychologists interested in learning theory study learning curves. A learning curve is the graph of a function P (t), the performance of someone learning a skill as a function of the training time t....

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Q: Make a rough sketch of a direction field for the autonomous differential

Make a rough sketch of a direction field for the autonomous differential equation y' = f (y), where the graph of f is as shown. How does the limiting behavior of solutions depend on the value of y (0)...

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