Find the flux of F = z²k upward through the part of the sphere x² + y² + z² = a² in the first octant of 3-space. Select one: O A. Ta4 8 O B. Ta? Ос та4 4 O D. Ta² ОЕ ла? 4

Q: Q2. Use a scalar product the check whether the points A (0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2,…

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Q: 23. Evaluate (x8(x² - 2x - 3)dx A)1 BIO C)-I D12 E)-2 24. For a constant vector E, find the constant…

A: Let us solve above problem.

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A: Let O=(1,0,-1), A=(1,8,-8) B=(-9,0,5) C=(7,-8,-1) D=(-7,0,7) It is enough to show that…

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Q: Compute (47 SK) - dA, where s is the square of side length 3 perpendicular to the e-axis, centered…

A: According to question given that∫S(4i→+5k→).dA→Where S is the square of  the side length  3…

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Q: Kara categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The…

A: The amount Kara spend on rent r = 417The total amount spend n = 333+417+500+250 = 1500 The…

Q: Find the equation of the sphere of radius 8 centered at (1, 3, 6). O x² + y² +z² = 46 O x² + y² + z²…

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Q: If (a,B.y) is a point at which the surface x2+y2-z²-2x+12=0 has a horizontal tangent plane, then y|…

A: As per guidelines, we will solve first question only. Let α,β,γ be the point on the surface…

Q: a. u• v, |v|, [u| b. the cosine of the angle between u and v. the scalar component of u in the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the scalar equation of the plane that contains the line x+1 -3=. and is parallel to x+2=+4_:+2…

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Q: The point (1,2-1) in space is inside the ball B((1,1,1);2).

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Q: Find an equation of the sphere with centre in the xz-plane and passing through the points (0, 8, 0),…

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Q: Find the dot product, U⋅V U=, V=

A: The dot product is a scalar operation. The dot product gives the unique value (number) as the…

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Q: Find the point - on the sphere (x - 4)² + y² + (z − 8)² = 1 nearest to the point (6, 0, 8).

A: To find the point on the sphere((x−4)2+y2+(z−8)2=1)that is nearest to the point ((6, 0, 8)), we'll…

Q: Find the equation of sphere that passes through the point (-2, -8, -2) and centered at (8, 7, 8).…

A: To find the equation of the sphere that passes through the point -2, -8, -2 and centered at 8, 7, 8.

Q: If d is a scalar multiple of b, then ax%. Select one: True False

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