Question: If z(x, y) = 300 - x 2 - 9y 2 [meters] gives the elevation of a mountain at sea level, what is the direction

If z(x, y) = 300 - x2 - 9y2 [meters] gives the elevation of a mountain at sea level, what is the direction of steepest ascent at P: (4, 1)?

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

z 2x 18y zp 8 1... View full answer

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 Advanced Engineering Mathematics Questions!

Q:

Introduction In 2010, New United Motor Manufacturing, Inc., a unique and highly successful joint venture between Americas General Motors and Japans Toyota, went out of business. NUMMI, as the...

Q:

The elevation of a mountain above sea level at the point (x, y) is ((x, y). A mountain climber at p notes that the slope in the easterly direction is -1/2 and the slope in the northerly direction is...

Q:

For each of the following, evaluate S F - nd using Stokes's Theorem or the Divergence Theorem. a) S is the sphere x2 + y2 + z2 = 1, n is the outward-pointing normal, and (x, y, z) = (xz2, x2y - z3,...

Q:

For each of the following quadratic functions, determine if there is a minimum. If so, find the minimizer and the minimum value for the function. (a) x2 - 2x y + 4y2 + x - 1 (b) 3x2 + 3xy + 3y2 - 2x...

Q:

please help me on this 2 4th 9 weeks - Assignme X E 'The Ones Who Walk A X Copy of Rainah Russell: x (2) The Ones Who Walk X _ Perf. Task Angles of Ele X Angles of Elevation anc X + X C D A...

Q:

Calculus 3 Section 14.5 Reading Assignment: Directional Derivatives and Gradient Vectors I am suck with this question. Please help! Section 14.5 Reading Assignment: Directional Derivatives and...

Q:

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

Q:

Complete the following Carolina Biological Lab: Kinematics. Please read the Distance Learning Lab Safety Agreement. By taking part in these labs, you agree to the terms in the Distance Learning...

Q:

Midterm Exam 1.(10pts) Let P(1, 2, 3) and Q(4, -7, 9) be two points. Find the point R that is two-thirds of the way from P to Q on the segment PQ. Work: Answer: 2.(10pts) The angle between two...

Q:

1. (10pts) Let P(1, 2, 3) and Q(4, - 7, 9) be two points. Find the point R that is two-thirds of the way from P to Q on the segment PQ. 2. (10pts) The angle between two intersecting planes is defined...

Q:

This Is a lab Manual That you can use to answer the questions. I'm really confused about the questions I would really appreciate it if you can help I have an exam on this lab so I need correct...

Q:

You are holding a portfolio with the following investments and betas: Stock Dollar investment Beta A $250,000 1.3 B 200,000 1.7 C 500,000 0.85 D 50,000 -0.35 Total investment 1,000,000 The market's...

Q:

An alternating current I0 cos(wt) (amplitude 0.5 A, frequency 60 Hz) flows down a straight wire, which runs along the axis of a toroidal coil with rectangular cross section (inner radius 1 cm, outer...

Q:

Rafiu has downloaded 10 movies to his smartphone. 4 of the movies are comedies, 3 are thrillers and 3 are science fiction. He is going to select 5 of these movies. Find the number of ways he can make...

Q:

Refer to Exercise 24. Suppose each cars price is reduced by 10% instead of $500. What effect will this discount have on each of the following characteristics of the resulting price distribution? a....

Q:

The null and alternate hypotheses are: H 0 : d = 0 H 1 : d 0 The following paired observations show the number of traffic citations given for speeding by Officer Dhondt and Officer Meredith of the...

Q:

Describe the process by which greed, absent sexism or bigotry on the part of business owners, can lead to the reduction in wage gaps between men and women and between whites and nonwhites?

Q:

Covisint Technology (CT) is a medium sized developer of electronic parts for the automotive industry. Over the past 5 years, CT has grown from a small operation in Ottawa, Ontario with less than 10...

Q:

Conduct a fact-finding interview with someone involved in a procedure that is used in a business or organization. This person could be someone at the university, in a small business in your...

Q:

In what ways is experimental avoidance conditioning different from human phobic conditioning?

Q:

Refer to Exercise 7.59. In exercise 7.59 A fire inspector has conducted an extensive analysis of the number of smoke detectors and the number of carbon monoxide detectors in the homes in a large...

Q:

Refer to Exercise 7.59. In exercise 7.59 A fire inspector has conducted an extensive analysis of the number of smoke detectors and the number of carbon monoxide detectors in the homes in a large...

Q:

After watching several seasons of soccer a statistician produced the following bivariate distribution of scores. a. What is the probability that the home team wins? b. What is the probability of a...

Q:

Answer: 4,008 Please do not use a financial calculator Find the present value of $750 per year, at a discount rate of 10%, if the first payment is received 5 years from now and the last payment is...

Q:

28. The array declared with the statement Dim lakeAreas () As Integer = {23000, 8000, 22000, 10000, 32000} contains the surface areas (in square miles) of the five Great Lakes. Evaluate and interpret...

Q:

1 A veterinary study evaluates a new medication for mange in dogs. (Mange is a skin disease caused by a parasite.) 50 dogs participate in the study. Half the dogs are randomly assigned to get the new...