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1. Circle one of the following options for the answer to the following question: Solve 2...
please help me solve the following question
8. Compute JJ f dS where f(x, y, 2)22+2 and S is the top hemisphere x2 + y2 + Z2, 220. 9. Compute JJ F-n dS where F-: (x, y, z) and s is the cone z2 x2 + y2, 0 S 2 1; with the outward pointing normal.
8. Compute JJ f dS where f(x, y, 2)22+2 and S is the top hemisphere x2 + y2 + Z2, 220. 9. Compute JJ...
(1 point) (▽ x F) . ds where M is the hemisphere z2 + y2 + z2-25, z > 0, Use Stoke's Theorem to evaluate with the normal in the direction of the positive x direction, and F--(z3,0, y Begin by writing down the "standard" parametrization of aM as a function of the angle 0 (denoted by "t" in your answer) (use "t" for theta). The value of the integral is
(1 point) (▽ x F) . ds where M...
Let F = < x-eyz, xexx, z?exy >. Use Stokes' Theorem to evaluate slice curlĒ ds, where S is the hemisphere x2 + y2 + z2 = 1, 2 > 0, oriented upwards.
Question 3 (10 marks) Use Stokes' theorem to evaluate ff(VxG)•dS where G = 2x² yi + 3xy?j + xyzk and S is the hemisphere x2 + y2 + z2 = 4 with z 20.
hello this is calculus III class I want to help with these
questions to answer it Could you help me please with all of them to
solve them please
thank you
QUIZ, TOPIC 12: Triple Integrals in Other Coordinates 1. The value of the triple integral where is the region bounded by the planes 2 = 0 and 2 = 1 + y + 5, and the cylinders r? + y2 = 4 (i.e. r2 = 4) and r2 +...
Question 2. (20 pts.) a) Simplify 2 < (57/2)) (2 < (--/3) 2« (-"%) b) Solve Z' + Z2 + 1 = 0
1 point) Use Stoke's Theorem to evaluate (▽ × F)·dS where M is the hemisphere x2 + y2 + z2-16, x > 0, with the normal in the direction of the positive x direction, and F (x6,0,yl) Begin by writing down the "standard" parametrization of ЭМ as a function of the angle θ (denoted by "t" in your answer) a F-dsf(0) de, where f(θ) = The value of the integral is (use "" for theta).
1 point) Use Stoke's Theorem...
10. Let F(x, y, z) = 〈y,-z, 10) per half of x2 +y2 + z2 = 1, oriented upward, and C the circle 2 y 1 in the z - y plane, oriented counter-clockwise. Find Jscurl(F) ndS directly and by using Stokes' Theorem. , where S is the up
10. Let F(x, y, z) = 〈y,-z, 10) per half of x2 +y2 + z2 = 1, oriented upward, and C the circle 2 y 1 in the z - y...
first picture is all the questions that need to be answered,
second is the actual numbers being used
17.6.25-Setup & Solve Evaluate the surface integral s Srixy.z) ds using a parametric description of the surface S f(xy.z) = 4x² + 4y?, where S is the hemisphere x² + y² +z? = 4, for z 20 Write a parametric description of the given hemisphere using u = Q and v = 0. I r(u,v) = (2 sin ucos V.2 sin usin...
i
found 8pi(2-sqrt(2))
(5) (20 points total) The region W lies between the spheres x2y z2 1 and x2y2 + z2 9 and within the cone z22 +y2with z 2 0; its boundary is the closed surface, S, oriented outward. For G-: < x, y, z >, where -A2 + y2 + z2 . Use the divergence Theorem to computeJI, .ds
(5) (20 points total) The region W lies between the spheres x2y z2 1 and x2y2 + z2 9...