Reference no: EM131005887
1. Find the first and second partial derivatives of f (x, y) = x3 e1+2y + sin(x2 + y2)
2. Find ∂z/∂y if x3+ y3 + 4z2 + 6xyz = 1
3. Find the equation of the tangent plane and equation of the normal line to the surface x2 + 2y2 + 3z2 = 3 at the point (2, 1, 1).
4. Use the chain rule to find ∂z/∂s and ∂z/∂t for z = 4x2 + x3y if x = s + 2t and y = st2 at the point s = 2, t = 1.
5. Filld the linear approximation of the function f (x, y) = √(y + cos (x)) at the point (0.0) and use it to appoxiznate f (0.1, 0.2).
6. Find the directional derivative of the function f (x, y) = x2e-y it at the point (-2, 0) in the direction of <2, 3>.
7. Find the maximum rate of change of f(x, y) = x2y + √y at the point (2, 1). In what direction does it occur?
8. Find the local maximum and minimum values and saddle points of the function
f(x, y) = xy (1 x y).
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What are two lessons learned about financial aid
: Use Dr. Scott-Clayton’s testimony to answer the following questions.a. What are two lessons learned about financial aid? Explain b. What are two ways financial aid policy could be reformed in order to better serve students? Explain
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Derive the likelihood function based on the observed data
: Derive the likelihood function based on the observed data D - suppose that the trial has 5 dose levels and show that the logistic model can be reparameterized
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What was the inflation rate for construction
: The ENR construction cost index (CCI) for January 2007 had a value of 7879.58 when the base year was 1913 with a value of 100. If the base year is 1967, the CCI for January 2007 is 733.55. What is the CCI for 1967 when the base year is 1913?
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Poisson process having rate
: Customers arrive at a two-server system according to a Poisson process having rate λ = 5. An arrival ?nding server 1 free will begin service with that server.
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Find the first and second partial derivatives
: Find first and second partial derivatives of f (x, y) = x3 e1+2y + sin(x2 + y2). 2. Find ∂z/∂y if x3+ y3 + 4z2 + 6xyz = 1. Find the maximum rate of change of f(x, y) = x2y + √y at the point (2, 1). In what direction does it occur?
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Proportion of customers enter the system
: (a) What proportion of customers enter the system? (b) What proportion of entering customers receive service from B? (c) What is the average number of customers in the system? (d) What is the average amount of time that an enterin..
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Steady-state probabilities
: (a) Set up the balance equations and solve for the steady-state probabilities, stating conditions for it to exist. (b) Find the expected waiting time of a customer from the time he arrives until he enters service for the ?rst time.
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Find the average time that a customer spends
: (a) Find the average rate at which customers enter the station. (b) Find the average time that a customer spends in the station per visit.
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Determine their equivalent total value in new york city
: The ENR construction cost index for New York City had a value of 12,381.40 in February 2007. For Pittsburgh and Atlanta, the values were 7341.32 and 4874.06, respectively. If a general contractor in Atlanta won construction jobs total- ing $54.3 m..
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