Use Green's theorem to evaluate ſ. (5xy + x² + y²) dx + (x² – y)dy where C is a closed curve that is formed by y = x, x² +y² = 4 and y-axis for which х,у 2 0. %3D

Q: y (x+1)²

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Q: If y is a differentiate function of x, then the slope of the curve of; xy^2-2y+4y^3=6 At what…

A: given that y is a differentiate function of x then we have to find the slope of the given curve at…

Q: ample 3: Sketch the graph of the curve y-Ax)-x-1

A: See the attachment

Q: Find the equation of the tangent line to the curve of intersection of the surface z = x² - y² with…

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Q: Graph the parabola f(x) = x2 . Explain why the secant lines between the points (-a, f(-a)) and (a,…

A: We have the given equation of parabola as fx=x2 On considering the solution set, which satisfy the…

Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: Answer

Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

Q: 1 - Sketch the curve : y=-(x3– 6x²+9x+6). 6 y=Lcx³-

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Q: On the grid below, sketch a curve that satisfies the following conditions: НА: у- 1 x-intercepts: 0…

A: First we draw asymptotes x=+2,x=-2, y=1.

Q: Find an equation of the povalbola in standovet form focus at F(-4,0) and divectrix ;X=-4

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Q: Graph the curve and include the orientation: x(t) = t^3, y(t) = t+3

A: graph of above equation are as follows

Q: Determine the coordinates of the center and radius of the curve 24 (y-) + 16y -16x? + 1011 = 24 X.…

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Q: For the curve 2² - 4xy² = y³ +9, do the following:

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Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

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Q: Determine the equation of the tangent to the graph of y- x - 3x + x+3 at the point (- 1, -2). O a)…

A: We have to find the tangent of the given function at point (-1,-2).

Q: Describe the traces of the curve x2 + 9z2 = 9 in the vertical planes (those parallel to the…

A: The traces of a surface are the cross-sections created when the surface intersects a plane parallel…

Q: ind point P and Q on the parabola y=(-x^2)+1 so that the triangle ABC formed by the x-axis and the…

A: Given that the curve is                         To find point P and Q on the given parabola, so that…

Q: Eliminate the parameter t to find a Cartesian equation of a curve. x = 1 + 3t,  y = 2-t^2

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Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula: