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A rectangular box without a lid is to be made from( 12 m^2 ) of cardboard. Compute the maximum volume of such a box using a method of Lagrange Multipliers.
Explain how complex numbers combine under the following operations
Express the following in the polar coordinate form: u(r, theta) + i v(r,theta)
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Linear Spaces, Mappings and Dimensional Spaces, 1) Show that if dim X = 1 and T belongs to L(X,X), there exists k in K st Tx=kx for all x in X.
Explain whether each statement is true or false. Please give short explanation why and if false, please give an example. The maximum of a function that is continuous on a closed interval can occur at two different values in the interval.
Find the mean values for this variable.
Choose ten of your friends, and make a graph where the edges represent two friends being Facebook friends. (Do not include yourself in the graph). Order your friends alphabetically, and label the vertices v1, v2, ..., v10 respectively.
Which of the resource constraints profit the most and why? Identify the sensitivity ranges for the profit of a sausage biscuit and the amount of sausage available. Explain the sensitivity ranges.
The value V (in millions of dollars) of a famous painting can be modeled by the equation V = 10ekt, where t represents the year, with t = 0 corresponding to 1980. In 2003, the same painting was sold for $50 million. Find the value of k.
Solve the problem on discrete distribution.
Linear Transformations, Rotations, Submodules and Subspaces, (7) Let F=R, let V=R^2 and let T be the linear transformation from V to V which is rotation clockwise about the origin by pi-radians. Show that every subspace of V is an F[X]-submodule f..
Calculate the yearly job-related expenses for this position at j & r financial Group. Be sure to include payroll deductions.
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