15. Evaluate the surface integral ff (x+y+z) ds, where S is the parallelogram with parametric equations xu+v, y=u-v, z = 1+ 2u+v, 0≤u≤ 2, 0≤v≤ 1. a) 17√15 b) 15√17 c) 14√11 d) 11√14 e) None of the above

15. Evaluate the surface integral ff (x+y+z) ds, where S is the parallelogram with parametric equations xu+v, y=u-v, z = 1+ 2u+v, 0≤u≤ 2, 0≤v≤ 1. a) 17√15 b) 15√17 c) 14√11 d) 11√14 e) None of the above

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

See similar textbooks

Related questions

Q: Find and sketch the domain of f(x,y)=√1 - (x + 1)² − y² + 2 ln(x − y + 1) -

A: We need to determine and graph the domain for the function: f(x, y)=1-x+12-y2+2lnx-y+1.

Q: Determine the initial value of the quadratic relation y = 7x²+2x-32. Enter a numeric value only.

A: Introduction: For a function, there is also an initial value. The initial value of a function is the…

Q: Question 16 > Approximate the area under the curve y = with 4 subdivisions. x³ from x = 2 to 4 using…

Q: Solve the following initial-boundary-value problem by using the separation of variables technique:…

A: Given : utt=uxx 0≤x≤1 , t>0 u0 ,t =0 ,u1 ,t =0…

Q: John invested $4500.00 for 6 years at 5.4% simple interest. Determine the amount of interest John…

Q: Define the force field Ē (x, y, z) = . a. Find the divergence and curl of F. b. Let C be the…

Q: 1A. Obtain the Fourier series of f(x) = ex, x = (0,2π), f(x+2) = f(x) Vx. Obtain the half range…

Q: A 2 × 2 real matrix A with repeated eigenvalues satisfies the relation [i] = [-2], and has a…

A: Given, The relation satisfies by the real matrix 2×2 with repeated eigenvalues is given by A01=0-2

Q: Sketch and identify the graph of z² = x² + You may either sketch the traces onto the xy-, xz- and…

A: The given equation is z2=x2+y24. To Find: The sketch of the given equation. The given equation have…

Q: Q#6. Find the flux of the vector field F across the surface in the direction of positive…

A: Given : Fx , y , z=2xi+yj+4zkru ,v=sinu cosvi+sinu sinv j+ cosu k 0≤u≤π3 ,…

Q: 2. A radioactive substance decays so that after t years, the amount remaining, expressed as a…

Q: Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis…

Q: y"″ − 3y" − 4y' + 12y = 0 -

A: To find the general solution of the differential equation y'''-3y''-4y'+12y=0

Q: Find the surface area of the portion of the cone x² + y² = z² above the region inside the…

A: we have to find the surface area of the portion of the x2+y2=z2 above the region inside the…

Q: Find the surface area of the portion of the cone x² + y² = z² above the region inside the…

Q: Choose the accurate description of the power status in each weighted voting system. (These are the…

A: Given Data: The accurate description of the power status in each weighted voting system. 1. [10:…

Q: The value of lim (trorozac) 2 (1² 1px (ozoz-ozoz) 6202 (17073— 170741) 7 is equal to

A: The property of exponents is anam=an-m. The property of exponents when the exponents are in…

Q: Evaluate F.dr if F(x, y) = (x²y)i + (xy²)j and the curve C is given by r(t)=(t²)i +(t)j, 0≤t≤1.

Q: let DCA" be the Type I Region [(x) * { [0,3], 06 462]. 3x+3y-22 evaluate. e dv Where E = [(x, y, z)…

A: Introduction: an integral that calls for repeating the integration process for assessment and when…

Q: Question 1. Determine the series solutions of the point x = 0. Hint Find A a) 2y + Bxy-2y=0. b)…

A: Thank you for the question. According to our guidelines we can answer only first question and…

Q: 2) d) = -(111111) 2 (10101 110) (A19), + (588),

Q: Fill in the blank to make each statement true. Use correct notations. . The graph of y = sinx is…

A: consider the following figure The graph in red is the graph of y = sin x The graph in blue is graph…

Q: Approximate the area under the curve y = x³ from with 4 subdivisions. 2 to 4 using a Right Endpoint…

A: Introduction: Apart from evaluating a definite integration by using the formula, we can also…

Q: c. Calculate the relative error for (a) and (b).

A: c)Hint: The relative error formula is E=x-x0x, where x0 is the measured value and x is the actual…

Q: (a) If f is continuous and | ₁² f(x) dx = 8, show that f takes on the value 4 at least once on the…

A: We will use the fact ∫abf(x) dx represent area bounded by curve y=f(x) and x-axis from x=a to x=b

Q: Use Muller's method to determine the roots of f(x) = −2+ 6.2x - 4x² - 0.7x³ Initial guesses: Xo =…

A: Introduction: Muller's approximation method is the iteration method to approximate root of an…

Q: Verify that the pair x(t) = e 20t, y(t) = e 4t is a solution to the given system below. Sketch the…

A: Given xt=e20t, yt=e4t To Verify: xt=e20t, yt=e4t is a solution to the given system below. Also…

Q: 4. Determine the maximum point of the the graph of y = 12 sin(π - 2x), for x = [-π, π).

A: y= 1-2sin(π-2x) range of sin(x) is [-1,1]Hence for maximum value of y we must have sin(π-2x)=-1…

Q: Suppose is the surface generated by revolving the curve y = 4(x² − 1) about the y-axis. 1. Determine…

Q: Solve the following Heat Equation in cylindrical coor- dinates. u depends on p and t only. 1 U = Upp…

A: Introduction: There are many distinct representation of heat equation in different coordinate…

Q: Define f (x,y) = 3y √1+x² a. Find the rate of change of f at the point (-1, 1) along the direction .…

Q: 2. Integrate numerically the given function, fx0.1(1.2-x)(1-e20(x-1)) dx with the multiple-segment…

Q: Let G be the solid in the first octant bounded by the planes x = y, y = z, z = 0 and x = 1. Set up…

Q: Let C = C₁ U C₂ U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment…

A: The main objective is to show that F is conservative vector field. Find the potential function. Also…

Q: Consider the linear system y' (t) = Ay(t) where the real matrix A has an [2²4] · eigenvalue X = −1+i…

A: Introduction: A set of linear equations is connected to a vector called the eigenvector. Latent,…

Q: Praw the curve r= 4 + 8 cose and find the area outside the inner loop of the curve,

A: answer of the give question is 4π

Q: For a sphere parameterized using the spherical coordinates and , describe in words the part of the…

Q: 1-y 2 Consider the plane : x - 2y + 3z − 1 = 0 and the line 1: x = = 2+1. 1. Find the point of…

A: It is provided that the plane is π: x-2y+3z-1=0 and the line is l: x=1-y2=z+1. We need to determine…

Q: Problem 4 Problem 4a Problem 4b Problem 4c Find the Laplace transform or the inverse Laplace…

Q: Calculate the Fourier series of function f(x)=x^2 -L<x<L using the Fourier series of function…

Q: A contractor was awarded a contract to build a 600 meter long tunnel. During the 5-year contract,…

A: A contractor awarded a contract of 600 meter long tunnel. Time period is 5 years Total Pump operate…

Q: Problem E.4 Find the general solution to the following system of linear differential equations. The…

A: Given : 4x1+x2=4x1'x2'-x2=x1 To Find : general solution of linear differential…

Q: Problem E.2. Consider the following matrix: 1 A = 2 -5 2 2 3-2 3 8 Problem E.2.a. Find the…

A: Here A = 1 2 2 2 3 -2 -5 3 8

Q: +∞ n(3x + 2)" Consider the power series > n³ +4 n=1 1. Show that the series is absolutely convergent…

Q: Let R be a commutative ring such that 2x=0 xe R. Then the mapping f: R →→R defined as f(x) = x² is a…

Q: 1. What are the possible automorphism groups of the splitting field of an irreducible polynomial of…

A: Introduction: Galois group is one of the very significant group in extended field theory. In every…

Q: 38. f(x, y) = ln x + ln y R: |x-1| ≤ 0.2, at Po(1, 1), y - 10.2

A: 38 Given function is fx,y=lnx+lny at P01,1. And R:x−1≤0.2, y−1≤0.2. We have to find the…

Q: Given: x f(x) 07 2 10 4 13 6 16 8 19 a) Determine the value at x=5.3333 seconds with second order…

Q: Q/ Evaluate the following integrals. (2²-2z+1) cosh z dz

Q: Find and sketch the domain of flx,y) =√√₁-(x + ₁)² - y² + 2 in (x-y +1). 1-

Question

Needed to be solved This Multiple choice question correctly Please let me know the right solution please

15. Evaluate the surface integral ff (x+y+z) ds, where S is the parallelogram with parametric
equations xu + v, y=u-v, z = 1+ 2u+v, 0≤u≤ 2, 0≤v≤ 1.
a) 17√15
b) 15√17
c) 14√11
d) 11√14
e) None of the above

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
Use Stokes’ Theorem to evaluateF(x, y, z) = 3zi + 4x j + 2yk; C is the boundary of theparaboloid shown in Figure 15.8.3...
Evaluate the surface integral ffR(x+y)dSwhere σ is the portion of the plane z = 6 − 2x − 3y in the first octant
Evaluate the triple integral z dV, where E is enclosed by the paraboloid z= 4x2 + 4y2 and the plane z=100.
Evaluate the surface integral. double integral x2yz dS, S is the part of the plane z = 1 + 2x + 3y that lies above the rectangle [0, 2] × [0, 2]
Evaluate the surface integral: x dS, S is the part of the plane 12x + 6y + z = 12 that lies in the first octant.
Two surfaces S and S^(-) with a common point p have contact order ≥ 2 at p if there exist parametrization x(u,v) and x^(-)(u,v) in p of S and S^(-) respectively such that xu = x^(-)u, xv = x^(-)v, xuu = x^(-)uu, xuv = x^(-)uv, xvv = x^(-)vv at p. Prove the following: a. Let S and S^(-) have contact order greater than or equal to 2 at p; x:U -> S and x^(-): U -> S^(-) be arbitrary parametrizations in p of S and S^(-) respectively and f: V c R^(3) -> R be a differentiable function in a neighborhood V of p in R^(3). Then the partial derivatives of order smaller than or equal to 2 of f o x^(-): U -> R are zero in x bar^(-1)(p) iff the partial derivatives of order smaller than or equal to 2 of f o x: U -> R are zero in x^(-1) (p). b. Let S and S^(-) have contact of order smaller than or equal to 2 at p. Let z = f(x, y), z = f^(-) (x, y) be the equations in a neighborhood of p, of S and S^(-) respectively where the xy plane is the common tangent plane at p = (0, 0). Then the…
Evaluate the surface integral. x2yz dS, S is the part of the plane z = 1 + 2x + 3y that lies above the rectangle [0, 4] × [0, 2]
Verify Green’s theorem in the plane for RC(3x2 − 8y2) dx + (4y − 6xy) dy, whereC is the boundary of the region y =√x and y = x2