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a) Find the dimensions of a rectangular box of volume V = 1000 in3 for which the total length of the 12 edges is a minimum using the Lagrange multiplier method.
(b) Find the change in the dimensions of the box when the volume is changed to 1200 in3 by using the value of λ* found in part (a).
Given a sample mean of 2.1 and a population standard deviation of 0.7 from a sample of 10 data points a 90% confidence interval will have a width?
Write a programming formulation that minimizes the average travel time for each person - Determine the best model type(s) for each(linear, nonlinear, or integer), and then building the model(s) to meet the needs of the scenarios.
Calculate both sides of the Markov and Chebyshev inequalities as functions of x > 0 - Use the inverse transform method to simulate 100 realisations of X and plot on the same graph.
Add a column to the right of the Last column. Label it "Full Name." Using spreadsheet functions or operations, populate the Full Name column using the format "Last Name, First Name."
Modeling - Math 056 - Homework 1. Establish a general condition on the fecundity of aphids to guarantee population growth given a fixed survivorship and a known sex ratio
How does Neoclassicism rebel against Rococo? What was the goal of Neoclassical art? What was the relationship between Neoclassical architecture and Renaissance architecture?
Compute the expected length of the interval from (a) exactly (simplify). How does the average length compare (=, ) to that of the usual 50% confidence interval, (¯y - z0.75/√2, y¯+ z0.75/√2), where z0.75 ≈ 0.67 is the 0.75 Normal quantile
Use the pattern in (b) to trace the effects of increasing the requirement by 10 percent. How will the optimal mix change? How will the optimal cost change?
Management in Pharmgen Corporation has come up with three possible decisions. The first one, the base case, is to leave things the way it is. The second one is to embark on an aggressive advertising campaign which would change the profit number in..
Problem need to be solved Numerically (d2 x)/(dt2 )-ax+bx3=0 →x(t),where t=0:x=xo ,x ?=xo
What is the probability that the first selected candy is lemon or that the second selected candy is cherry?
Solve differential equation of d 2 h /dx 2 =0 using the Galerkin method and considering 0 ≤ x ≤ 3 given that: h = 0 cm when x = 0 m and h = 10 cm when x = 3 m .
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