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Use Lagrange multipliers to find maximum and minimum values of the function subject to a given constraint or constraints.
1.) f(x,y,z)= xyz; x^2 + 2y^2 + 3z^2 = 6
2.) f(x,y,z)= x^2 + y^2 + z^2; x^4 + y^4 + z^4 = 1
3.) f(x,y,z)= x^4 + y^4 + z^4; x^2 + y^2 + z^2 = 1
a. Calculate the sample average b. Calculate the sample standard deviation c. Based only on this information do you have a normally distributed process?
Julia may lease a warming oven for $600 for a six game football home-season game. the oven has 16 shelves, and each shelf is 3 feet by 4 feet. she plans to fill the oven with the food times (pizza, hot dogs and barbecue sandwiches) before the ga..
Elastic energy is the potential mechanical energy stored in the volume of a material
Calculate the mean, median, mode, variance, and standard deviation for the numeric data.
The total cost of her new car was $34,290.08 which included the 6.5% sales tax. Find the cost of the Premier Package to the nearest cent.
Consider an exponentially distributed RV with a=0, use the inverse transform method to generate a sequence of exponentially distributed random numbers for different values of the parameter b. Plot the histograms and compare with the analytical prob..
The correlation between number of friends and grade point average (GPA) for 50 adolescents is .37. Is this significant at the .05 level for a two-tailed test?
A researcher compared the adjustment of adolescents who had been raised in homes that were either very structured or unstructured. Thirty adolescents from each type of family completed an adjustment inventory. The results are reported in the table..
You are purchasing a business building valued at $225,000. You can find a mortgage at 5% if you can put 20% down. You believe your business can support a $1,000 a month mortgage payment (not including taxes and insurance). Should you select a 25 y..
For example, a patient who begins the day in fair condition has a 12% chance of being in critical condition the next day and a 3% chance of being discharged the next day in improved condition. a. Consider a patient who enters the hospital in good..
What is the overall corporate beta of Apex Health Services?k Is the calculated beta consistent with corporate risk theory and what is the overall market beta of Apex Health Services?
Problem 1: Write an essay explaining the aesthetic principles expressed in visual arts and describe how they changed from the Baroque period through the early twentieth century.
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