  Math Central - mathcentral.uregina.ca  Quandaries & Queries    Q & Q    Topic: antidifferentiation   start over

9 items are filed under this topic.    Page1/1            Integral 1/(25-x^2)^3/2 2012-02-22 From John:Integral 1/(25-x^2)^3/2Answered by Harley Weston.     Antiderivative of 1/(x(1 - x)) 2008-10-22 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.     f(x+y) = f(x) + f(y) + 2xy 2007-11-01 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.     Velocity and acceleration 2005-10-27 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.     National consumption function 2001-05-09 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.     A jogger 2001-03-12 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.     Find an exprression for f(x) 2001-02-07 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.     How do you integrate secant(theta)? 2000-12-22 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.     An indefinite integral 2000-05-03 From Bonnie Null:I am to find the indefinite integral of: (ex - e-x)2 dxAnswered by Claude Tardif.      Page1/1    Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.    about math central :: site map :: links :: notre site français