3.use Greens theorem S(1+x dx + 2xy dy ,where C is triangle With vertices (0,0),(1,0).(1,3) oriented clockwise (3) Hinit (oく-1,3 (し) py (1 + x*)- dx + 2ytan-'xdy ,where C is closed curve xi + yi = 1 maa Al

Q: time t = 0. Find two distances between the points r(1) and r(2): the Euclidean distance in space and…

A: Use the formula for the Euclidean distance and distance along the curve .

Q: ARST Is translated so that point R (-2, 1) Is mapped to point R' (2, -4). Which ordered pair best…

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Q: If we have the circle (x – 3) + (y – 3)² = 4 and we intersect it with line y 4 what are the two…

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Q: Find distance between the point Plane Containing p oints c li21-1) (315/9) f (-12,-8) Coiojo) and…

A: Given, the points (1, 2, -1), (3, 5, 9), and (-1, 2, -8) are on the plane. We have to find the…

Q: Find the length of the curve y? = r between the points (0, 0) and (4, 8)

A:

Q: Suppose the midpoint of RT is M = (3,0). If point R has the coordinates of (-1, 4), what are the…

A: Given midpoint RT is M =(3,0)

Q: Let S = R^2 - {(0, 0)} and let L be the set of all Cartesian lines lying in S. Show that {S,L} is…

A: We will use the definition of incidence geometry to solve the problem.By definition, a geometry…

Q: 19) Find fre are length of the curve an tue göven imprvel. onsweys a) (2308)-8 1728 り420) 864 c)…

A: Use arc length formula

Q: Q2/ Check the symmetry of r² = -sin(20) %3D Ans./ Symmetry about the origin

A: Symmetry

Q: 18. Trangle 7(6,4, U(–4, 2, V2,-–3) is maped onto ATU'V'. a. Triangle TUV is mapped onto ATU'V…

A:

Q: The graph of y = 2x1/3 + x4/3 changes its concavity at: 1) nowhere 2) both (0,0) and (1,3) 3) (0,0)…

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Q: 10. The distance between the point (3,-2,5) and the plane 2x+2y+z=5 is NONE

A: Given: The distance between (3,-2,5) and the plane 2x+2y+z=5

Q: _23. What is the equation of the circle that passes through (4, 2) with center (0, -1)? x2 + (y –…

A: Here we find the equation of circle which passes through (4,2) with centre (0,-1)

Q: Identify the rule for this Translation (x+-, y+–) Coordinates Preimage Image A (2,4) A B A' B' C D…

A: To find the translation

Q: 0(0,0). U(0,3), A(5,3), and D(5,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0)…

A:

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: Please answer the question on the image attached.

A: Here is the solution of the given problem. Linear Approximation Ans Cubic Approximation.

Q: Cannot solve

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Q: 1. The following equation shows your retained information depending as a function of the hours of…

A: we have been given the function for retaining information as a function of t -'hours of study'…

Q: Show that the point (x0 , y0) closest to the origin on the line ax+ by =c has coordinates

A: Distance between x0, y0 and origin (0, 0) is, D=x0-02+y0-02D=x02+y02D2=x02+y02f=x02+y02…

Q: 3. Use Green's Theorem to show that to where C is the unit circle x² + y² = 1 in the…

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Q: Integrate counterclockwise dz, C' the circle with z² + 8z + 15 center -3 and radius 2. dz = La z2 +…

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Q: 41. The vertices of pentagon LMPQR are at L(4, -2), M(5, -2), Р(8, -5), Q(6, -7), R(2, -4). The…

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Q: )مه و و ي (x2 + y?, y* + 4x) · dr (2,1) )هد0( )ه,(

A:

Q: Find the equation of the tangent plane to the graph of f(x, y) = 8x² – 2xy? at the point (5, 4). A)…

A: We first find the partial derivatives  So the direction vector of the normal is = (48,-80)

Q: Differentiate: Y(u) – (u ?+ u )(* + + u *)(u° +3u²)

A:

Q: PO 6. If this triangle was reflected over the y-axis to form AH' J'K', what would be the coordinates…

A: I reflected this triangle about y axis

Q: 1. Translate triangle LMN (x, y)→ (x − 6, y + 7). Label your new triangle L'M'N'. -6 -2 0 -6 M…

A: