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A 140 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the areas of the two squares?
(a) Express the sum of the areas of the squares in terms of the lengths x (smaller piece) and y (larger piece). (b) What is the constraint equation relating x and y?(c) Does this problem require optimization over an open or closed interval? (d) Solve the optimization problem.
What is the probability of getting a score of 68 or less on this exam?
Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.)
If the population mean is 36, are the serial killers significantly more introverted at the .05 level? Perform the appropriate one-tailed test.
A voltage V across a resistance R generates a current I=V*R. If a constant voltage of 14 volts is put across a resistance that is increasing at a rate of 0.7 ohms per second when the resistance is 3 ohms, at what rate is the current changing?
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
A two factor analysis of variance produces SSA = 20, SSB = 40 and SSAxB = 90. For this analysis, what is the value for SSbetween treatments?
Based on your interval in part (a), is it reasonable to conclude that a majority (more than half) of the population believes the President is doing a good job?
Find the price of the material
Find the best predicted value of y corresponding to the given value of x. The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is hat(y)=11.7+1.02x. Ten pairs of data were used to obtai..
Show that the mass, momentum, and energy are constants of motion (invariants) for the KdV equation by direct differentiation with respect to time.
Find the radius of convergence and the interval of convergence of this taylor series.
All of the graphs occur in real life. Find a real-life application of each graph. Relate the application to the specific graph (line, parabola, hyperbola, exponential).
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