Information about directional derivatives

Assignment Help Mathematics

Reference no: EM13128340

Consider the function f(x,y,z) = (e^z)ln(x^2 + y^2)

a) Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.

b) Is there a vector r such the directional derivative of f at (1,1,0) in the direction of r equals to -2? If there is, find one such vector. If not, explain why not.

Reference no: EM13128340

Questions Cloud

What is it''s reaction, single, or double replacement : What is the balanced equation for copper (II) hydroxide + acetic acid (HC2H3O2)? and what is it's reaction, single, or double replacement.

Partial differentiation and chain rule : The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.

Illustrate what is the lowest price per unit backwoods : A large hotel chain is currently expanding and has decided to decorate all new hotels using the rustic style. Backwoods Incorporated is invited to submit a bid to the hotel chain. Illustrate what is the lowest price per unit Backwoods should bid o..

Find how small must standard deviation be : If the manufacturer wants to keep the mean at 12.8 ounces but adjust the standard deviation so that only 2% of the bags weigh less than 12 ounces, how small must that standard deviation be?

Information about directional derivatives : Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.

The garden party : To what extent does "The Garden Party" appear to embody feminist values?

What is the molecular formula of chloral hydrate : Chloral hydrate, a sedative, contains C 14.52%, H 1.83%, Cl 64.30%, and O 19.35%. If it has a molar mass of 165.42 g, what is the molecular formula of chloral hydrate?

How operating income be affected : If Hoffman accepts the special order, the company would not have to pay its salespeople their normal commission of $2 per unit, but the company would incur a shipping cost of $3 per unit on the items in the special order. If Hoffman accepts the sp..

Interest and applications of derivatives : A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today then how much will the person be worth in six months?

User Account

All Pages