Sfcurt Use Stokes' theorem to evaluate rl F•dS where F= <6ycosz,sinz,x > and S is the hemisphere x2+y²+z²=9, z 20, oriented upward. O a. None of these Ob. -367 O c. -84 T d. -12 n -54 T Oe.

Q: Consider j1,ỹ2, ỹ,ER° and that ỹ,+y;+ÿ;=0. For Î=span{ÿ, ,ÿ and Y=span{ÿ2, ÿ}, show that Ý=Ỹ.

A: Given y1→, y2→, y3→∈ℝ5 such that y1→+y2→+y3→=0. Let Y^=spany1→,y2→ and Y~=spany2→,y3→. To show…

Q: HI | GJ. Find FJ. 51 34 22 H. FJ = F.

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Q: if u and v are orthogonal, than u,v =(0,0,0) b. u x v is a scalar c. v.v = ||v|| d. if π/3 is the…

A: If u and v are orthogonal then u.v=(0,0,0) a true

Q: 1. Let u = PQ and v = PR, where P = (2, –1,3), Q = (0,5, 1), and R = (5,5, %3D (a) u v (b) The angle…

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Q: ACT/SAT In the figure, ZP = LS. Which of the following additional pieces of information would allow…

A: observe picture we will see in next step

Q: Find the angle between the surfaces x² + y² + x² = 42 and x = x² + y² — 22 at the point (5, 1, 4):…

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Q: Let à x b = -38 i +6 j 20 k Where a = -2 i + 4 j + 5 k and b = mi + 6 j − 2 k, ɓ Calculate m, là b,…

A: Basic formulas from vectors will be used.

Q: Mis the centroid of ADEF. DM = 8 J MJ = 2y M EM = 6 K FM = 2x F DK EL , and FJ are O A. altitudes B.…

A: DK , EL and FJ are medians. Option C is correct option.

Q: r = 14,0 = I 4 Description of locus in (x, y, z) space: Line made by the intersection of the…

A: Given the Polar coordinates      r=14 and θ=π4 Find the Cartesian coordinate y.

Q: F(x, y, z) = yzi + 8xzj + exyk, C is the circle x² + y² = 1, z = 4.

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Q: ind an equation of the tangent plane at P = ( 2,3, - 3 |to the given surface. 10x? + z?e"-* = 49…

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Q: Let F = . Use Stokes' Theorem to evaluate curlF rlFds, where S S is the hemisphere x² + y² + z² = 4,…

A: I have explained everything with in the solution, please go through that.

Q: Here theta is the angle in counter clockwise direction from positive X axis in XY plane. Please…

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