9 items are filed under this topic.
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Integral 1/(25-x^2)^3/2 |
2012-02-22 |
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From John:
Integral 1/(25-x^2)^3/2
Answered by Harley Weston. |
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Antiderivative of 1/(x(1 - x)) |
2008-10-22 |
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From Matt:
derivative of dx/(x(1-x))
From what I've seen I should break apart the equation as such
derivative of dx/x - dx/(1-x)
and then get the 2 corresponding log functions.
If that is correct why does this factoring work, if that is incorrect what is the proper way to find the derivative.
Answered by Harley Weston. |
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f(x+y) = f(x) + f(y) + 2xy |
2007-11-01 |
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From Marcia:
For all real numbers x and y, let f be a function such that f(x+y) = f(x) + f(y) + 2xy and such that the limit as h -> 0 of f(h) / h = 7, find: f(0), use the definition of the derivative to find f'(x), and find f(x).
Answered by Penny Nom. |
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Velocity and acceleration |
2005-10-27 |
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From Candace:
When taking the integral of the position function, you get the velocity function, and the same for velocity to acceleration. So when you do each of these, you get a function. But when you integrate on a graph, you get an area under a curve. The area is un units squared- where do the units go when you make it an equation? How can a function be an area?
Answered by Harley Weston. |
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National consumption function |
2001-05-09 |
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From Brian:
If consumption is $11 billion when disposable income is 0 and the marginal propensity to consume is dC/dy = 1/(2y+4)1/2+0.3(in billions of dollars), find the national consumption function.
Answered by Harley Weston. |
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A jogger |
2001-03-12 |
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From Bill:
At time t=0 a jogger is running at a velocity of 300 meters per minute. The jogger is slowing down with a negative acceleration that is directly propotional to time t. This brings the jogger to a stop in 10 minutes. a) write an expression for the velocity of the jogger at time t. b) what is the total distance traveled by the jogger in that 10-minute interval.
Answered by Harley Weston. |
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Find an exprression for f(x) |
2001-02-07 |
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From A 12th grade AP Calc student:
Let f be the function defined for all x > -5 and having the following properties. Find an expression for f(x). i) f ''(x) = 1/ (x+5)1/3 for all x in the domain of f ii) the line tangent to the graph of f at (4,2) has an angle of inclination of 45 degress.
Answered by Harley Weston. |
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How do you integrate secant(theta)? |
2000-12-22 |
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From Robert Williamson:
How do you integrate secant(theta)? I know the answer is ln [sec(theta) + tan(theta)] but how do you get there?
Answered by Claude tardif. |
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An indefinite integral |
2000-05-03 |
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From Bonnie Null:
I am to find the indefinite integral of: (ex - e-x)2 dx
Answered by Claude Tardif. |
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