Let F(x, y, z) = (3x 2 yz - 3y) i + (x 3 z - 3x)
Question:
Let F(x, y, z) = (3x2yz - 3y) i + (x3z - 3x) j + (x3y + 2z) k. Evaluate ∫C F • dr, where C is the curve with initial point (0, 0, 2) and terminal point (0, 3, 0) shown in the figure.
Transcribed Image Text:
z. ZA (0, 0, 2) (0, 3, 0) (1, 1, 0) y (3,0,0) хк
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
Because curl F 0 F is conservative so there exists a function such tha...View the full answer
Answered By
Omar ELmoursi
I'm Omar, I have Bachelor degree in Business and Finance, My unique approach is to help students with questions and assignments, I can teach Business, Math, Accounting, Managerial Accounting, Economy, Human resources management, organizational behavior, project management, I have experience dealing with different types of students and teach them how to deal with different types of exercises.
5.00+
4+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let f(x, y, z) = (x + y + z + ln(4 - x 2 - y 2 - z 2 ). (a) Evaluate f (1, 1, 1). (b) Find and describe the domain of f.
-
Let W(x, y) mean that student x has visited website y, where the domain for x consists of all students in your school and the domain for y consists of all websites. Express each of these statements...
-
(a) Two surfaces are called orthogonal at a point of intersection if their normal lines are perpendicular at that point. Show that surfaces with equations F(x, y, z) = 0 and G(x, y, z) = 0 are...
-
On August 31, 2018, Rijo Equipment Repair Corp.'s opening trial balance was as follows. The company prepares adjusting entries monthly. During September, the following transactions were completed:...
-
At room temperature, 1,2-dibromoethane exists as an equilibrium mixture in which 89% of the molecules are in an anti conformation and 11% are gauche. The comparable ratio for butane under the same...
-
Gadgets Galore Corp. produces J-Pods, music players that can download thousands of songs. Gadgets Galore forecasts that demand in 2020 will be 22,800 J-Pods. The variable production cost of each...
-
Photovoltaic (PV) cells convert sunlight energy directly into electricity, with no moving parts (recall Fig. 37.21). In a PV cell, photons incident on a semiconductor PN junction promote electrons to...
-
Journalize the following labor-related transactions for Portland Glass at its plant in Portland, Oregon. Assume that the labor has been incurred, but not yet paid. Plant janitors wages...... $ 650...
-
Craney Corporation makes one product and it provided the following information to help prepare the master budget for the next four months of operations: The budgeted selling price per unit is $87....
-
Yonica Petroleum is a global manufacturer of specialty chemicals that are made from the waste products of the petroleum industry. Yonica in effect recycles a good portion of the waste from the...
-
Compute the outward flux of F(x, y, z) = x i + y j + z k/(x 2 + y 2 + z 2 ) 3/2 through the ellipsoid 4x 2 + 9y 2 + 6z 2 = 36.
-
Let F(x, y) = (2x 3 + 2xy 2 - 2y) i + (2y 3 + 2x 3 y + 2x) j/x 2 + y 2 Evaluate where C is shown in the figure. $ F dr,
-
The other people I work with encourage me to attain my goals. E-16
-
how could playing in a sandbox help to the development of children? how could a garden help to the development of children? how could playground obstacle courses like a pebble bridge and monkey bars...
-
A store order bottles of shampoo throughout the year. Over time, the store has learned that the annual demand D for shampoo is constant, i.e., there is no variability. Currently, the store decides to...
-
Solve the Practice #2 == where L2 =02A = a, L404B = c, L = 0204 = d, y = /2 1) Find the velocity 3 when 82 = /2 and 6 = 0.4 rad/s 2) Find the acceleration 63 when = /2 and 62 = 0.4 rad/s 03. 03 Y B...
-
.0.5 0.5 For the above plot of the ellipsoid (22) 2- + +() + (-) = 1, find the parameters a, b and c. Note that a, b and c are positive integers between 1 and 6 inclusive. Use the mouse to rotate the...
-
The annual energy consumption of the University of Maryland is 100 million kWh. How much Uranium-235 is needed to produce this amount of energy in a nuclear power plant assuming 100% efficiency? (The...
-
The Suntrek Company is a global apparel retailer with stores around the world. It manufactures many of its clothing items in China and transports them by rail and truck to four ports on the coastHong...
-
What steps must a business take to implement a program of social responsibility?
-
Evaluate the definite integral. a. b. c. 1 cos( t/2) dt sec (t/4) dt
-
Evaluate the indefinite integral. a. x sin(x2) dx b. (1-2x)9 dx c. (x+1) (2x + x2) dx
-
Use a graph to give a rough estimate of the area of the region that lies under the given curve. Then find the exact area. y = (2x + 1) , 0 x 1
-
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