Use Stokes' Theorem to evaluate (integral) F (dot) dr. C is oriented counterclockwise as viewd from above. F (x,y,z) = < 2z + x , y - z , x + y > C is the triangle with vertices (1,0,0), (0,1,0), (0,0,1).

Use Stokes' Theorem to evaluate (integral) F (dot) dr. C is oriented counterclockwise as viewd from above. F (x,y,z) = < 2z + x , y - z , x + y > C is the triangle with vertices (1,0,0), (0,1,0), (0,0,1).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 33E

See similar textbooks

Related questions

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

Q: os tedt $ to ateadure out to olquexe ne svid (anioq S&I meldor Problem 64 points For each of the…

Q: Let f be defined for (x, y) = R² if x #0 where f(x, y) = (x² + y²) x ,sin x + cos y Prove whether or…

A: Given: fx,y=x4+y4x,sinx+cosy, x,y∈ℝ2 with x≠0. To find: Whether or not there is a neighborhood U…

Q: (4) Use the complete Horner's algorithm to write the Taylor series for the following function at the…

Q: Let G be a group with less than 50 elements having subgroups of orders 4 and 10. What can you…

Q: Using the inner product (, ): M2×2 × M2×2 → R, (M, N) = (MNT)₁,1 + (MNT) 2,2 calculate -2 3 1 -…

A: Given: .:M2×2×M2×2→ℝ, M, N=MNT2,2+MNT2,2 To calculate: -2347, -1-344.

Q: For n N, let fn [0, 0)→ R be defined by fn(x) = (a) Prove that (fn) converges pointwise on [0, 0o)…

Q: Caleb is learning about proportions in 6th grade. As part of the lesson, the students are taken…

A: We have to solve given Questions.

Q: How to find the average rate of change

A: To find the formula for average rate of change.

Q: 부 || S T x1(t) : = 여름을 0 || > T

A: As per our company guideline we are supposed to answer only first qs, kindly post remaining qs in…

Q: Determine which sequence(s) below CAN be the degrees of the vertices of a simple graph on 7…

Q: where F(x, y, z) = 7yzi - 2xzj+ek and C is the circle x² + y² = 16, z = 6 oriented counterclockwise…

Q: Y P bra points). Consider the capital letters as unions of curves with no thickness in the plane.…

Q: graph for a function y = f(x) that satisfies all of the following conditions: f(- x) = f(x); f^…

Q: What is another name for the derivative when looking at a function graphically? A triangle that must…

Q: 9 A-P 13 a G-invariant Let A = - 7 and G = . Find - 10 form on C².

A: We are given the matrix A=9-713-10 and G=A. Now, we need to find the G-invariant form on C2. Let us…

Q: parabola y = x2 from (0, 0) to (?, ?2) Use x as the parameter to write parametric equations for C…

Q: Prove the differentiation formula. dx Let y = sech (x), then, in exponential terms, y = 11 [sech(x)]…

Q: Use properties of logarithms to condense the logarithmic expression below. Write the expression as a…

Q: Evaluate the following postfix expression: 53-2146 2/+*

Q: Below is shown the graph of y = x². The vertex of the parabola is at (0,0). Adjust the graph by…

Q: Suppose that $10,681 is invested at an interest rate of 5.6% per year, compounded continuously. a)…

Q: What does the integral represent in relation to the curve of a function? And what is the difference…

Q: .Draw the graph of a function defined on [0,8] such that f(0) = f(8) = 3 and the unction does not…

Q: Evaluate r(u, v) N₂² , 0 ≤ u ≤ 1, 0 ≤ v ≤ π with upward orientation. = F. ds, where = and S is the…

Q: 3) Consider the following matrix: A= 220 001 0 10 - 1 1 (i) Compute A™ ¹. (ii) Write A as a product…

Q: T Given the integral [cos 2x dx+4y³ dy, where C is described by F(1) = C b-- t a--A -) If the…

Q: Find the volume of the solid that lies within the sphere x² + y² + z² = 4, above the xy plane, and…

Q: Given the first term and the common difference of an arithmetic sequence, find the first five terms…

Q: Find the work done by the force F = xyi + (y − x)j over the straight line from ( − 1,0) to (0, − 1).

A: In the given problem, force is given and the displacement straight line is given. We have to find…

Q: 1 / (√ECOS (2√7) 1 √t cos(2√t)√t cosh² (√t), (i cosh² (√)) dt

Q: Let p(x) = 5x + 4x³ + 3x² + 2x + 1 and 0 1 0 0 0010 0001 0000 A = Find the matrix p(A). What is the…

Q: A2/PC 5.8 HW Problems: Applications of Quadratics. #6 has some formatting issues: 1) 1) The h(t)…

A: Given: t (time) H (Height) 0 5 0.5 13.5 1 19 1.5 21.5 2 21 2.5 17.5 3 11 3.5 1.5…

Q: Evaluate √√√1 + x² + z²dS, where S' is the helicoid with parameterization S r(u, v) = (u cos v, v, u…

A: Given Data: The parametrization for the helicoid S , r→u,v=ucosvi→+usin vj→+vk→ and the limits on…

Q: Determine the parent function from which the graph of the function shown below can be obtained.…

Q: Forz € C, define the linear operator T₂ : C → C by T₂(w) = W. Characterize those z for which Tz,…

Q: Introduction to Discrete Mathematics Let A = {x ∈ Z | ∃k ∈ Z, x = 3k + 2}, B = {x ∈ Z | x ≡ 1 (mod…

A: Let A = {x ∈ Z | ∃k ∈ Z, x = 3k + 2}, B = {x ∈ Z | x ≡ 1 (mod 3)}, and C = {x ∈ Z | 3 | x}. We now…

Q: Use Simpson’s Rule with n = 4 intervals to approximate

Q: 2) Sheila scored 75, 80, 100, 60, and 85 on her last five history tests. She has a final exam that…

Q: b. Find z,z₂ in polar form. c. Find in polar form. 41 d. Find the square roots of 2, in polar form…

Q: Find the radius of convergence for 2³n (n!)³ (3n)! n=1 -xn.

Q: Let f(x) = k ln(x² + 3) + 5, where k < 0. Do the following. (a) Find the critical numbers of f, and…

Q: 3xyz = 63 and 3x² + 4y² + 8z² = 423 at point (−3, 1, −7). ř(t) = with -∞ < t <∞

A: The parametric form of a line that passes through x0, y0, z0 and has the direction ratios: a, b, c…

Q: In the figure below, the area of the (black) shaded portion a) 4r² (4-π) b) r²(2π-4) c) r²(4-π)…

Q: (b) xy' + 3y = 4x, y(2) = 6

Q: Let f: R → R be a differentiable function then for any a, b = R, ab, the Lagrange's theorem says…

Q: If n + 1 integers are chosen from the set (1, 2, 3,..., 2n). where n is a positive integer, must at…

Q: 5. For finite sets A and B, which of the following equals |A x B], the cardinality of the Cartesian…

A: Cartesian product : Let two sets A and Bthen the Cartesian product A×B is given by , A×B = (…

Q: 8. s.) Complete the Implicit Function Theorem for F: R4 R² where F(x) = (F1(x), F2(x)) and x = =…

Q: Find the steady-state vector for the transition matrix. X = 0 1 0 000 Need Help? 1 8 1 0 1/1/00 Read…

Question

Use Stokes' Theorem to evaluate (integral) F (dot) dr. C is oriented counterclockwise as viewd from above.

F (x,y,z) = < 2z + x , y - z , x + y >

C is the triangle with vertices (1,0,0), (0,1,0), (0,0,1).

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

Expert Solution