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find the turning points and point of inflection on the curve, y=x5-5x4+5x3-1


find dy/dx when y= "(1+x\/1-x)" -2


Find all possible Taylor's series and Laurent series expansions of f(z) = (2z-3) /(z-2) (z-1) about z=0?

What is the bilinear transformation which maps the points z=0, 1, and infinity onto the points w=0 and 2i?

What are the real and imaginary parts of CosZ?



What is the Laplace transform of t^3 + cos3t-e^-3t?

Using Cauchy-Riemann equations, how do you show that |z|^2 is not analytic?

How do you obtain a partial differential equation by eliminating arbitrary function from z=f (x+iy) + g (x-iy)?



Congratulations! You are hired in a business organization. In this company the market research department that you are the member recommended to manufacture and market a promising new product (x). After extensive surveys, the research department supported the recommendation with the demand function:


Dx = f (p) = 60 – 3 P


Where Dx is quantity demanded at price P during a month. Financial department has brought the cost function and is given by


C(x) = 72 + 6x


Now the team leader of the market research department ordered you to manipulate the following problems.


Express revenue as a function of X


Expresses profit as a function of X

Find the domain and range of function f(x)=√(x^2-4) on R


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