find flux f Use divergence Be 1ector F-12z+2リズ分カーズド cut of Sphere *+jr* =9 theorem to 2 A ースK

Q: This is a continuation of #9 above. Fill in the table below and use those points to help you sketch…

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Q: Does the Divergence Theorem apply to surfaces that are not closed?

A: By Stokes' theorem:

Q: Please don't provide handwritten solution .... ) Consider the space R^2 equipped with the sunflower…

A: The objective of the question is to identify the set of points in R^2 that forms a ball of radius 1…

Q: Show without using the Heine-Borel theorem that the line R is not a compact set in R ^ 2

A: The proof is done using the definition of compact set. A set S is said to be compact if and only if…

Q: State the equstion of the yz plane

A: We have to find equation of yz plane

Q: Verify greens theorem form 1 for F=x^3i+yj and c is the circle x^2+y^2=1, oriented anti clockwise

A: Find ∫CFdr, the line integral of F, where C is the circle x2+y2=1, oriented anti clock wise…

Q: Define p: R^2 x R^2 to [0, infinity) by the rule p(x1,y1),(x2,y2)=squareroot((x1-x2)^2+(y1-y2)^2)…

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Q: X Edit 10. Rectangle GHU wilth verlices G(2.-1), H7.-1), 17.-4), and

A: Graph plotting

Q: 3-) Find the pointls) to point Az(d,0) on x-3~y2 that are closest メ=2 25 +1,5 0.5 + - -ロ5 + 8.5 to…

A: here we have to find the point on the curve x=3-y2 that are closest to point A(1,0) let point is…

Q: G(x,y)= (x+3y) / (x^2 - y^2 ) Sketch the domain

A: G(x,y) = x + 3yx2 - y2 The denominator cannot be zero. Therefore, x2 - y2 ≠ 0(x+y)(x-y) ≠ 0x ≠ -yx ≠…

Q: Find foF dr where C is a circle of radius 3 in the plane x+y+z= 8, centered at (1, 3, 4) and…

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Q: write the quation of the perpendicular bisector that gose through the lie segment with end points of…

A: The perpendicular bisects will be passing through the midpoints of the given points A(4,-1) and…

Q: The equation of the tangent plane of the graph of function z = xy + 2x² - y3 at point (2, -1) is

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Q: к Determine aT, aN and K for the space curve r = (2e^t)i + (t)j + (e^2t)k.

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Q: -}]-=[}]»=[}- [] 3 Find Let vị = and p = 3 a hyperplane [f: d] (in this case, a line) that strictly…

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Q: Find the orthogonal projection of y = 8. 4 on W (1)-8} Span

A: The given problem is to find the orthogonal projection of y on the W is span of 2 vectors.

Q: The distance from (-2,-5,-6) to the yz-plane is (A) -2 (B) 2 (C) (D) -5 (E) 6

A: Use distance between two points

Q: Show that at a hyperboic poin, he principall direcions bisect the asymptotic directions using The…

A: Summary:At a hyperbolic point on a surface, the Gaussian curvature is negative, indicating that the…

Q: Consider the infinite geometry R^2, where points are (x, y) ∈R and lines are ax + by + c = 0 with a,…

A: We have to show that R^2 is an Affine plane.

Q: (b) Every continuous map S? →T² is homotopic to the constant map.

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Q: Find the equation of the planes that contains two lines given by L₁ :x=1-2t, y = 4 + t, z = t and…

A: Given that the lines are             L1: x=1-2t, y=4+t, z=t, L2: x=2-3t, y=1+4t, x=2-t. To find the…

Q: find for me all points where G is preserving orientation?

A: Sol:-To determine where G is preserving orientation, we need to calculate the Jacobian matrix of G…

Q: Let T : R^2 → R^3 be a linear map. What are the possibilities for the pair of numbers (dim Null…

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Q: 9 find the cqu. f Plane that Contains the two line Ś: X-1=3+ 6=そ X=リニで-4 and Passes through origin?…

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Q: drawn from the point A(2,10) on the parabola y = x^2 + bx + c Since the tangent is parallel to y =…

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Q: Consider the integer points on the xy-plane. How many paths are there from (0,0) to (4,-2)? Only…

A: Consider the integer points on the XY plane. To find paths from (0,0) to (4,-2). Here only down and…

Q: 2+9z X =,26+,A

A: Draw the quadratic surface y2+9z2=x using traces. Solution: The traces of the surface y2+9z2=x is…

Q: If a line segment AM-a moves in the plane XOY remaining parallel to OX so that the left endpoint A…

A: Sol:- Let the center of the circle be at point O(0,0), and let the left endpoint of the line segment…

Q: Sketch the following sets of points in the x-y plane. {(x, x^2): x is in R}

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