Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. consider f and c below. f(x, y, z) = yz i + xz j +

Consider F and C below. F(x, y, z) = yz i + xz j + (xy...

80.2K

Verified Solution

Question

Basic Math

Consider F and C below.

F(x, y, z) = yz i + xz j + (xy + 14z) k

C is the line segment from (3, 0, −3) to (5, 5, 1)

(a) Find a function f such that F =∇f.

f(x, y, z) =



(b) Use part (a) to evaluate

C

∇f · dr along the given curve C.

Answer & Explanation Solved by verified expert
4.5 Ratings (826 Votes)
if    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

Finance
1.2K views

What is the value today of a money machine that will pay $4,389.00 per year for...

Biology
1.2K views

How did the results from twentieth century experiments provide evidence to support claims about the structure...

Biology
1.2K views

Consider the following statement: “All present-day cells have arisen by an uninterrupted series of cell divisions...

Chemistry
1.2K views

The very useful restriction enzyme SpoBob hydrolyses the phosphodiester bond between the guanylates in the sequence...

Physics
1.2K views

4 A particle of mass m and charge q approaches from a very large distance...

Physics
1.2K views

An electric dipole of length 2 cm is placed with its axis making an angle...

Calculus
1.2K views

Question 20 Sketch a graph of f x 5 4 3 5 4 3 2...

Algebra
1.2K views

Find all zeros of the polynomial function f x x 4x x 8x 6 O...

Accounting
1.2K views

Selected year-end financial statements of Cabot Corporation follow. (All sales were on credit;...

Accounting
1.2K views

The following transactions were completed by Winklevoss Inc., whose fiscal year is the calendar year:...

Accounting
1.2K views

When an equiptmebt dealer recieves a long term note in exchsbgr for equiptmebt abd the...

Finance
1.2K views

A owes B the sum of $10,000 and agrees to pay B the sum of...