Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. suppose you are climbing a hill whose shape is giv

Suppose you are climbing a hill whose shape is given by the equation z = 1400 ? 0.005x2...

90.2K

Verified Solution

Question

Advance Math

Suppose you are climbing a hill whose shape is given by theequation

z = 1400 ?0.005x2 ?0.01y2,

where x, y, and z are measured inmeters, and you are standing at a point with coordinates (60, 40,1366). The positive x-axis points east and the positivey-axis points north.

(a) If you walk due south, will you start to ascend ordescend?

  


At what rate?

vertical meters per horizontal meter

(b) If you walk northwest, will you start to ascend or descend?


At what rate? (Round your answer to two decimal places.)

vertical meters per horizontal meter

(c) In which direction is the slope largest?



What is the rate of ascent in that direction?

vertical meters per horizontal meter

At what angle above the horizontal does the path in that directionbegin? (Round your answer to two decimal places.)

°

Answer & Explanation Solved by verified expert
4.1 Ratings (686 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Psychology
1.2K views

1) Using examples, define and describe roles, role expectations and role conflict. 2) List and describe the five...

Psychology
1.2K views

Please share some thoughts with the classroom on the positive and negative impact of the media...

Economics
1.2K views

Current and future role of business in society

Finance
1.2K views

McGilla Golf has decided to sell a new line of golf clubs. The clubs will sell...

Biology
1.2K views

A How many ATP were formed B How many kcal of gross energy were formed...

Physics
1.2K views

a particle 2 An electron is projected horizontally with a kinetic energy of 10 keV...

Physics
1.2K views

Two identical positive charges are placed 3 00 m apart and experience a force between...

Calculus
1.2K views

OFGE M W P une MGPM ematical system defined by the following table Answer parts...

Algebra
1.2K views

Find the exact value of cos a 3 of cos 4 O A OB O...

Accounting
1.2K views

ABC Company is being sued for $15,000,000. After discussing the lawsuit with the company's attorneys...

Finance
1.2K views

financial mathematics 2. An annuity makes semi-annual payments for 10 years. The first year...

Finance
1.2K views

Estimate beta for Amazon relative to the S&P index using monthly returns data for the...