Calculate the directional derivative of given function

Assignment Help Mathematics
Reference no: EM131015818

Let f(x, y. z) = x2 + xy + yz.

a. Calculate Delta (f)(l. 2,5).

b. Calculate the directional derivative of f in the direction of <1, -2, 3> at the point (1, 2, 5) (In notation: Dv(f)(1, 2, 5)).

c. Find a vector v such that Dv(f)(1, 2, 5) = 0.

d. Find a vector w such that dc(f)(1, 2, 5) has largest value. what is this largest w?

e. Find a vector p such that Dp(f)(1, 2, 5) has smallest value. What is this smallest w?

Reference no: EM131015818

Questions Cloud

What is the magnitude of this field : An electric dipole with charges -q separated by distance d produces an electric field along its axis at a point P located at distance 2d from the dipole's midpoint. What is the magnitude of this field?
Fisher model : (Fisher model) The pure rate of interest is 3% and investor demand an inflation premium of 4%. What interest rate should they demand if they require a risk premium of 5%?
What is the sustainable growth rate : What is the sustainable growth rate for each year?  Based on your analysis of the sustainable growth rate between 2011 and 2015, what are your recommendations for the firm?
What would happen to the confidence index : Suppose Baa-rated bonds currently yield 7.5%, while Aa-rated bonds yield 5.5%. Now suppose that due to an increase in the expected inflation rate, the yields on both bonds increase by 1.0%. What would happen to the confidence index? (Round your answe..
Calculate the directional derivative of given function : Calculate the directional derivative of f in the direction of at the point (1, 2, 5) (In notation: Dv(f)(1, 2, 5)). Find a vector w such that dc(f)(1, 2, 5) has largest value. what is this largest w?
How does each branch of the government support : How does each branch of the government support each other?
The present value of an investment be the highest : Under which of the following discounting methods will the present value of an investment be the highest, assuming the same annual interest rate?
Calculate the wacc under the assumptions : Calculate the WACC under the following assumptions: long-term bonds offer a yield of 8%, stock price is $50 per share, dividend is $2/share, dividend expected to grow at a constant 6% per year, target capital structure is 75% equity and 25% debt, tax..
Calculate the dividends paid and external equity financing : ABC firm has a debt to equity ratio of 2.3 (that they wish to maintain) and new investments would cost $35 million this year. The firm expects earnings of $12 million this year.

Reviews

Write a Review

Mathematics Questions & Answers

  Perform the indicated operationnbsp1 find the product

perform the indicated operation.nbsp1 find the product. x3nbsp- 5x2nbsp-1 7x22 perform the indicated operation. 5x - 6

  Write the equation for the hyperbola

Write the equation for the hyperbola whose vertices are located at (3, 1) and (3, 5) and foci at (3, 7.5) and (3, -1.5).

  Find all points of intersection of the curves

Find all points of intersection of the curves (r^2)=4sin(2x) and (r^2)=4cos(2x). Give your answers as ordered pairs in cartesian coordinates, in order of increasing radius and increasing angle.

  Finding perimeter and area of garden

Caitlyn is a landscaper who is creating a triangular planting garden. The homeowner, Lisa, wants the garden to have two equal sides and contain an angle of 120°. Also, Lisa wants the longest side of the garden to be exactly 6 m.

  What is the probability of getting someone

what is the probability of getting someone who has been in a car accident?

  If the student would like this investment to be worth

a college student invests 8000 in an account that pays interest annually. if the student would like this investment to

  Seven peas are generated from parents having the green

Seven peas are generated from parents having the green/yellow pair of genes., so there is a .75 probability that an individuaal pea will have a green pod. find the probability that among 7 offspring peas, at least 6 have green pods. is it unusu..

  Calculate the standard score for a value

Calculate the standard score for a value x of 27 and calculate the standard score for a randomly selected sample of 45 -with

  Compute the value of an investment at a given rate

Now I'm looking for a way to compute the value of an investment at a given rate with making regular deposits into the account (e.g. Adding 500/month at 6% compounded weekly for ten years). Any ideas?

  Write a differential equation for the total quantity of dead

Write a differential equation for the total quantity of dead leaves (per square centimeter) at time t.

  If the material for each necklace costs terry 6 what should

during the summer months terry makes and sells necklaces on the beach. last summer he sold the necklaces for 10 each

  Prove that set theory is a model of a boolean algebra

Define the difference of two sets A and B, using the basic operations of set theory: union, intersection, and complement.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd