Q6. Evaluate (2yx² - 4x)ds, where C is the lower half of the circle centered at the origin of radius 3 with clockwise direction shown if Fig. Q6. -2 -1 y -1 Fig.Q6

Q: Find the image of the circle x2 + y² = 4 under a dilation of factor 2 from the x-axis followed by a…

A: The dilation of a curve indicates the expansion or contraction of the curve. If a curve is dilated…

Q: (a+2) + (y-1)² = 4 Hint: Find the center and radius of your circle first. Then choose

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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: Find the center and radius of the circle x2 + y2 = 6y + 16.

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Q: Which of the following is the center and radius of the circle? x² + y² + 10x - 6y + 15 = 0

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Q: Guide Plot. label and connect the following coordinates F (-5, -4), G (-2, 4) & H (3, -4) on the…

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Q: Evaluate 12x-7 dz where (2213) (2-1)² Cis the circle Z = 2

A: Approach to solving the question:  Detailed explanation:

Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: Find the rectangular coordinate of r -6rsin0.

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Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: find the area of the triangle formed by the points (8.-5).(-2.-7) and (5.1) by using Herones…

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Q: Q5:. Calculate the area of the triangle formed by the line 3x-7y+4 =0, and the axes.

A: By using formula of area of triangle and basic geometry. Area of right angle triangle = 1/2(B×H)

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

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Q: • Calculate = 3 2+5 2-3 on the circle |z|

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Q: Determine the evolute of the circle x2+y2=R2.

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Q: Which are the center and radius of the circle with equation (x + 5)2 + (y - 4) = 9? OA. (-5, -4); r…

A: The given equation of the circle is: (x+5)2+(y-4)2=9...(1) The standard equation of the circle is:…