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Write each of the following expressions in correctly parenthesized text using one line (also called calculator notation or inline notation). Some of these expressions look a lot alike, but since the expressions are different they must have different text representations. Two different expressions cannot have the same text line Use SQRT for the square root, and use ^ for showing powers.
the indicated derivative
Find the second derivative
Q. solve using simplex method, Hence using the sensitivity analysis, find the new optimal solution of the LPP if the availability of the second constraint is changed from 11 to 15
Find the vertex.
Find the natural domain of the given functions.
De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.
Dividing a complex number with another number.
Using law of cosines for solving the problem.
Identifying local maximum, local minimum.
Differentiable function on the interval.
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
Satisfies the Cauchy-Riemann equations
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