The derivative of (x, y, z) at a point P is greatest in the direction of v i j k In this direction, the value of the derivative is 23 a What is at P Give reasons for your answer b What is the derivative of at P in the direction of i j ...

a Since the derivative at P is greatest in the direction of v i j k we can say that the directional ...

The derivative of (x, y, z) at a point P is greatest in the direction of v

Question:

The derivative of ƒ(x, y, z) at a point P is greatest in the direction of v = i + j - k. In this direction, the value of the derivative is 2√3.

a. What is ∇ƒ at P ? Give reasons for your answer.

b. What is the derivative of ƒ at P in the direction of i + j ?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

See More Books

Question Posted: May 08, 2023 02:41 AM

See More Questions

Evaluate the following integrals. Assume a and b are real numbers and n is an integer. (Use u = ax + b.) + b
The curvature at a point P of a curve is defined as Where Î¦ is the angle of inclination of the tangent line at P, as shown in the figure. Thus the curvature is the absolute value of the...
A charged particle moves uniformly with velocity v along a circle of radius R in the plane xy (Fig. 4.40). An observer is located on the x axis at a point P which is removed from the centre of the...
What kinds of functions of local government are usually protected by immunity?
Beacon Company is considering automating its production facility. The initial investment in automation would be $15 million, and the equipment has a useful life of 10 years with a residual value of...
(Current Liability Entries and Adjustments) Described below are certain transactions of James Edwards Corporation. 1. On February 2, the corporation purchased goods from Jack Haley Company for...
Journal entries and balance sheet for an acquisition Ling Corporation decided to acquire all of Huang Corporations voting common stock on January 1, 2017. The purchase price consisted of $10,000 for...
How does an auditor evaluate the control procedures of an automated AIS? How is the element of uncertainty handled in the audit examination?
Take me to the text The net income for the year ended on August 31, 2016 for SC Corporation was $130,000. Additional data for the year is provided below. Loss on retirement of debt $14,200 Purchase...
It is expected that aerobic square dancing during the 30-minute recess at an elementary school will help fight childhood obesity. a. State the research question. b. Identify the control and...
Show that each function satisfies a Laplace equation. f(x, y) = InVx + y x
Find the points on the sphere x 2 + y 2 + z2 = 25 where (x, y, z) = x + 2y + 3z has its maximum and minimum values.
Which of the following are true? A. Most states honor 338 (g) elections, but not 338 (h) elections B. Most states honor 338 (h) elections, but not 338 (g) elections C. Neither a nor b is true
Pink Jeep Tours offers off-road tours to individuals and groups visiting the Southwestern U.S. hotspots of Sedona, Arizona, and Las Vegas, Nevada. Take a tour of the companys Web site at...
The following are unrelated accounting practices: 1. Pine Company purchased a new $\$ 30$ snow shovel that is expected to last six years. The shovel is used to clear the firm's front steps during...
Identify whether the following statements are true or false. 1. One argument for IFRS is that there is less globalization in the world. 2. IFRS is accepted as GAAP in every country of the world. 3....
You will need isometric dot paper for this question. Part of a pattern using four rhombuses is drawn on isometric dot paper below. By drawing two more rhombuses, complete the pattern so that it has a...
Fred Flores operates a golf driving range. For each of the following financial items related to his business, indicate the financial statement (or statements) in which the item would be reported:...
Why do some marketers embrace the concept of relationship marketing?
Write the general quadratic equation y2 - 8y - 4x + 28 = 0 in standard form. Determine the vertex, focus, and directrix of the parabola defined by this equation. Sketch a graph.
Find the centroid of the region bounded by the graphs of the equations using any method. y = 1 - x 2 , y = 0
Find the arc length of the graph of y = 16 - x 2 over the interval [0, 4].
Find the area of the given region using any method. y=x /3 - 2x 2 1 1 2 x
Los siguientes datos corresponden a las operaciones de Turk Company el ao pasado: Ventas $ 900 000 Utilidad operativa neta $ 36 000 Margen de contribucin $ 150 000 Activos operativos promedio $ 180...
Problem 16-16 Tax Shields (LO2) River Cruises is all-equity-financed with 53,000 shares. It now proposes to issue $280,000 of debt at an interest rate of 12% and to use the proceeds to repurchase...
In a process costing system, companies use predetermined overhead rates to apply overhead

The derivative of (x, y, z) at a point P is greatest in the direction of v

Question:

Step by Step Answer:

a Since the derivative at P is greatest in the direction of v i j k we can say that the directional ...View the full answer

Thomas Calculus Early Transcendentals

Students also viewed these Mathematics questions