Let C be a simple closed smooth curve in the plane 2x + 2y + z =
Question:
Let C be a simple closed smooth curve in the plane 2x + 2y + z = 2, oriented as shown here. Show that
depends only on the area of the region enclosed by C and not on the position or shape of C.
Transcribed Image Text:
X √ 2y dx + 3z dy - x dz C 1 Z I -2 1 C 2x + 2y + z = 2 y
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
To show that the line integral depends only on the area of the region enclosed by curve C and not on ...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Let C be a simple closed smooth curve that lies in the plane x + y + z = 1. Show that the line integral C z dx - 2x dy + 3ydz depends only on the area of the region enclosed by C and not on the...
-
a. Show that the outward flux of the position vector field F = xi + yj across any closed curve to which Greens Theorem applies is twice the area of the region enclosed by the curve. b. Let n be the...
-
Let C be a simple closed piecewise-smooth space curve that lies in a plane with unit normal vector n = (a, b, c) and has positive orientation with respect to n. Show that the plane area enclosed by C...
-
Sandys Socks makes the worlds best socks. Information for the last eight months follows: Prepare a scatter graph by plotting Sandys data on a graph. Then draw a line that you believe best fits the...
-
Explain what economic consequences are. Why does accounting have economic consequences?
-
\f\f\f
-
Are you in a big hurry all the time? True/False LO.1
-
The Minot Kit Aircraft Company of Minot, North Dakota, uses a plasma cutter to fabricate metal aircraft parts for its plane kits. The company currently is using a cutter that it purchased used four...
-
Which of the following is a False statement about bonds? a.) Callable bonds can be redeemed early by the buyer/holder of the bond. b.) Unsecured bonds are also called debenture bonds c.) A mortgage...
-
Consider the blending system shown in Figure. A feedback control system is used to reduce the effect of disturbances in feed composition, x 1 , n the controlled variable, product composition, x....
-
Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The cap cut from the paraboloid z = 2 - x 2 - y 2 by the cone z = x 2 + y 2
-
Apply Greens Theorem to evaluate the integrals. $ f (6y + x) dx + (y + 2x) dy C C: The circle (x 2) + (y - 3) = 4
-
Life insurance may be classified according to the manner in which it is marketed. Identify the three classes of insurance based on this classification and explain the distinguishing characteristics...
-
Antismoking advocates cheered in the summer of 1997 when the U.S. tobacco industry agreed to pay out more than U.S. \($368.5\) billion to settle lawsuits brought by forty states seeking compensation...
-
Generate the full set of clauses for the map-coloring graph in Figure 8.1. Resolve these clauses to prove that a three-coloring solution does exist for the graph. data from figure 8.1 A B C D
-
To test \(H_{0}: \mu=80\) versus \(H_{1}: \mu <80\), a simple random sample of size \(n=22\) is obtained from a population that is known to be normally distributed. (a) If \(\bar{x}=76.9\) and...
-
Check that there are at least \(2\left(\begin{array}{c}n \\ 3\end{array} ight)\) different hierarchical models which contain all twoway interaction terms for an \(n\)-way contingency table.
-
A cam with \(30 \mathrm{~mm}\) as minimum diameter is rotating clockwise at a uniform speed of \(1200 \mathrm{rpm}\) and operates a roller follower of \(10 \mathrm{~mm}\) diameter as given below: (i)...
-
What is design capacity? Effective capacity? Best operating level?
-
Juarez worked for Westarz Homes at construction sites for five years. Bever was a superintendent at construction sites, supervising subcontractors and moving trash from sites to landfills. He...
-
Explain in your own words what the term compound interest means. What does continuous compounding mean?
-
In Problems 4576, solve each exponential equation. Express irrational solutions in exact form. ex - e-x 2 || 2
-
In Problems 4576, solve each exponential equation. Express irrational solutions in exact form. ex + e-* 2 = 3
-
explain in excel please For a particular product the price per unit is $6. Calculate Revenue if sales in current period is 200 units. Conduct a data analysis, on revenue by changing the number of...
-
Hall Company sells merchandise with a one-year warranty. In the current year, sales consist of 35,000 units. It is estimated that warranty repairs will average $10 per unit sold and 30% of the...
-
Q 4- Crane Corporation, an amusement park, is considering a capital investment in a new exhibit. The exhibit would cost $ 167,270 and have an estimated useful life of 7 years. It can be sold for $...
Study smarter with the SolutionInn App