Direction of most rapid increase-critical points

Reference no: EM13133306

1. Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?

2. Locate and classify the critical points of the function h(x,y) = x^2 -4x+4xy+y^2-16y.

Reference no: EM13133306

Questions Cloud

What types of structural and functional changes : Write an essay (only one page)discussing Gregoire's views. What types of structural and functional changes in organizations may be necessary to help Gregoire overcome histraditional view?

List sample points for probabilities to the simple events : Suppose that four families are surveyed and that each one reports whether its income exceeded the reported medium for that year. List the sample points.

Describe at least four methods that could be used to attempt : Describe at least 4 methods that could be used to attempt to separate the oil and water at home. Based on the four methods postulate which method would work better than the others.

Calculate the number of moles of co2 that will be produced : Based on the following chemical equation 2C6H6 + 15O2 12CO2 + 6H2O calculate the number of moles of CO2 that will be produced

Direction of most rapid increase-critical points : Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?

Calculating the concentration of the acetate ion : Calculating the concentration of the acetate ion when dissociation of acetic acid occurs in water and over varying pH conditions?

Italicize word or words from quotation : Imagine you are writing about that essay or about something related to a particular quote. Write as if you are writing an essay--no more than two or three sentences before you include the quote.

How many grams of acetic acid are in a sample : If 3.30ml of vinegar needs 45.0ml of 0.130M NaOH to reach the equivalence point in a titration, how many grams of acetic acid are in a 1.10qt sample of this vinegar?

Which plan will result in the higher eps : Under Plan II, there would be 300,000 shares of stock outstanding and $10 million in debt outstanding. The interest rate on the debt is 10 percent, and there are no taxes. If EBIT is $1.5 million, which plan will result in the higher EPS?

User Account

All Pages