Question: A,b,c,d please Consider the function f(x,y,z) = 2 + 2xyz, the point P(1,1, - 1), and the unit vector u = a. Compute the gradient

A,b,c,d please

Consider the function f(x,y,z) = 2 + 2xyz, the point P(1,1, - 1), and the unit vector u = a. Compute the gradient of f and evaluate it at P. b. Find the unit vector in the direction of maximum increase of f at P. c. Find the rate of change of the function in the direction of maximum increase at P. d. Find the directional derivative at P in the direction of the given vector. a. What is the gradient at the point (1, 1, - 1)? - 2 2 1 2

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

16. Consider the perimetrically defined curve r(t) = t - sin 2t, y = 4 - 3cost, 0 0. Thus the conic consists of all those points P = (r, y) such that [PF] - e(PL|. Find the polar equation of the...

Consider the following. f( x, y, z) = x2 yz - xyz', P(3, - 1, 1), u=(0, 5 (a) Find the gradient of f. Vf ( x, y, z ) = (b) Evaluate the gradient at the point P. VA(3, -1, 1) = (c) Find the rate of...

1. New school for three villages. A new school is to be established to cover the area of three small villages. It is located at the point minimising the sum of squares of distances to the villages....

MAC2312 Name: Worksheet Section 8.1 Arc Length Directions: Work in your small group to complete this tutorial. Return the completed worksheet along with the homework exercises at the beginning of...

~ The Short Years App X *Homework Help - Q&A from On x Module C Problem Set X + X C @ https://canvas.asu.edu/courses/129278/assignments/3425505?module_item_id=8887062 MAT_117_Unit_C_Problem_Set.pdf...

1. [-/3 Points] DETAILS SCALCET8 14.6.009. MY NOTES PRACTICE ANOTHER Consider the following. f ( x, y, z) = x2yz - xyz, P(4, - 1, 1), u= (0, UT / W (a) Find the gradient of f. Vf ( x, y, z) = (b)...

Help with the following questions This Problem set tests the knowledge that you accumulated in the first 4 lectures. It is mostly on the mathematical techniques that we developed, but there is also...

please helppppp:"((( Computer Assignment Nr. 1 Due Noon Friday, March 6th Consider a system of ten particles P., i = 1,2,..., 10, as in Figure 1(a). The cartesian components of the position vectors...

The questions below are taken from texts other than your textbooks. Some are easy, some are more difficult, but in any case, trying to solve them is an excellent practice. There are quite a few...

help me answer q1, 2, 3, 4, 5 the audit of Alpine Cupcakes, Inc. tasks Audit Case Assignments ng standards ble Introduction: Data Analytics Module e accounts In the Data Analytics Module, instead of...

What are two of the key checks and balances in place to help manage the incremental risks associated with the hedge fund industry?

How the handbook is organized, what kind of information it contains, and how to use its major features. For this discussion, you will review all of the presentation using a handbook.

On an average, if an element is in the list, linear search searches Question 1 3 options: the whole list half of the list one fourth of the list just one element in the list

The force constant of a massless spring is 2 5 . 0 N / m . A mass of 0 . 4 5 kg is oscillating in simple harmonic motion at the end of the spring

Explain the difference between job-order and process costing, and identify the source documents used in job-order costing.

Discuss the interrelationship of cost accumulation, cost measurement, and cost assignment.

Differentiate the cost accounting systems of service and manufacturing firms and of unique and standardized products.