SFodrwhereandC is the crve of intersection ofadd #he cylinder x? ayLel withthe planeCounter - clock wise rotationa) What is the formita tnsisóciated with Stakes' Theoremhich isidetof the formülashould we desetif we are ased evaruate? S F.drd fmgwith ? Stokes Theorem?nsc) vse Stokes' Theorem to evaluake S Fodr

Answered: Image /qna-images/answer/4e0f54bd-09f3-4cf0-94b4-5443faa90171.jpg

SF.dr where F Cxpy;Z)=y and C is the urve of intersection of yz=2 antd th 4he sylinder x?ayL with the plane counter- clock wise rotation a) What is.the formitatasisociated wih Stokes' T torp bi Which sidetof the formülashould Twe dese if we are asedito eraruate? s Fidr taq with? Stokes Theorem? ☺ vsë Stokes' Theorem to evaluake S Fid

SF.dr where F Cxpy;Z)=y and C is the urve of intersection of yz=2 antd th 4he sylinder x?ayL with the plane counter- clock wise rotation a) What is.the formitatasisociated wih Stokes' T torp bi Which sidetof the formülashould Twe dese if we are asedito eraruate? s Fidr taq with? Stokes Theorem? ☺ vsë Stokes' Theorem to evaluake S Fid

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 60E

See similar textbooks

Similar questions

Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a orthocenter? b centroid?
Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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…
a. Find the standard parametrization of the straight line segment from (3, 5,−2) to (3, 0, 2).b. Find the standard parametrization of the straight line segment from (0,−4, 1) to (0, 1, 1).c. Only one of the segments in the previous two problems can be parametrized using the zcoordinate as the parameter. Which one? Find the corresponding parametrization.
Consider the problem of fitting a planez = ax + by + c to data: Please answer question a.
Length is independent of parametrization To illustrate that the length of a smooth space curve does not depend on the parameterization you use to compute it, calculate the length of one turn of the helix in Example 1 with the following parametrizations.
You are now allowed to assume that the half-planes determined by the line with the equation ax+by +c = 0 correspond to the points (x, y) so that ax + by + c < 0 and ax + by + c > 0, respectively. Usingthis, show that axiom B4(i) holds. (Hint. Suppose (q, r) and (s, t) are on the same side of the given lineand that (s, t) and (u, v) are on the same side of the given line. en construct the parametrized linethrough (q, r) and (u, v). Consider the mappingλ γ7→ a(q − qλ + uλ) + b(r − rλ + vλ) + c and note that it is continuous and either increasing or decreasing. Use this fact to show that, for everyλ, γ(λ) > 0 or γ(λ) < 0, depending on which half-plane the points are on.)