Evaluate the line integral 3xy® ds, where C is the right half of the circle x? + y? = 36.

Q: the circle is the tangent to both x and y axis. A point on the circle is (2,1). Calculate the area…

A: This question is based on Circle.

Q: Form the diffrential equation of the family of circle having a centre on y-axis and radius 3 units.

A: the objective is to find the differential equation of the family of circles having centre on y axis…

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

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Q: The distance of the line 7x + y –5 = 0 from the origin is?

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Q: Find the distance between two points (1, 2) and (3, −1).

A: We want to find the distance between the given two points. We use formula for finding the distance…

Q: Find the angle at which the circle  x2+y2 +x+y=0 and x2 +y2 + x-y=0 intersect.

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Q: Find the distance from the point (4, 9) to the line y = 2x.

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Q: Find the distance between the point (-4, 2) and the line 3x + 5y + 2 = 0. NOTE: Enter the exact…

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Q: Sketch the curve y cu. = x sq.

A: Given the curve is y3 = x2 Put random value in the curve and we get the table which help to trace…

Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…

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

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Q: -2 8 and y = 4 Find the distance between x = - 8 The distance between x and y is (Type an exact…

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Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…