=2) Calculate & ydx + xz² dy - zy³ dz, where c is the circle x² + y² = 4, Z=3 (conterclockwise) hint: F = 2cost + 2Sint j + 3R f. J. JF =SS, (OXT). P. JA

Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

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Q: b) Use Greens theorem to findf x² ydx – xy?dy where C is the circle x? + y? = 4 going counter clock…

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Q: Evaluate ∫ C ( 2 + x^2 y ) d s , where C is the upper half of the unit circle.

A: We have to evaluate the line integral: ∫C2+x2yds where C is the upper half of the unit circle.

Q: Use the Distance Formula to show that the circle with center (0, 0) and radius length r has the…

A: Given: x2+y2=r2 Formula used: OA=x-02+y-02

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: 5. Is the point (2, 7) on the circle defined by (x – 2) + (y – 7)2 = 4?

A: Given equation of the circle is: (x-2)2+(y-7)2=4 Given point is: (2,7) Substituting,x=2,y=7 in given…

Q: 4. What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y2 – 6x = 0 B. x2 + y?…

A: equation of the circle with radius 3 and center (3, 0) :(x-3)2+(y-0)2 = 32

Q: Evaluate (r2 + y?)ds, C is the left half of the circle with radius 4 centered at (0,0) and is…

A: We calculate this by using concepts of line Integrals !

Q: Find the image of the circle Iz| = 3 under the stereographic projection in the sphere.

A: We let G be a sphere in Euclidean three space. We want to obtain a picture of the sphere on a flat…

Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

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Q: ort er 2x² + 2y² + 4x + 8y + 8 = 0 is the equation of a circle with center (h, k) and radius r for:…

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Q: What is the equation of the circle that has radius of 8 and centre at(-3, 4)? A. (x +3)2 + (y – 4)?…

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Q: 2. Let be the part of the circle x² + y² = 9 from (-3,0) to (0, 3) in the upper left quadrant.…

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Q: Use Green's Theorem to evaluate §+(x² - y²)ẩx + xảy, where C is the circle x² + y² = 9. Select one:…

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Q: what

A: Please refer to the image below

Q: Q6. Evaluate (2yx² - 4x)ds, where C is the lower half of the circle centered at the origin of radius…

A: check belowExplanation:Step 1:Step 2:Step 3: Step 4:

Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

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