Compute the following: = 4 located in the first quadrant. (a) S x ds where C is the portion of the circle x²+ y?

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: How far is the center of the circle x2 + y2 – 8x + 1 = 0 from the x-axis? a. 2      b.  0…

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Q: 40° B 100 ft

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Q: S xy² Evaluate ds where Cis the first quadrant of the circle, x2 + y?= 16 . .A 8192 .B

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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 between the following two points: (10, 1) and (9, -4)

A: Given Find distance between (10,1) and (9,-4)

Q: 1. Write the gtand ard equation of a circle given eenter (1,3) and point on the circle (-4,15),"

A: The general equation of a circle is given by . Where, -g, -f is the centre of the circle.

Q: Reflect the triangle over the y-axis

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Q: Find the distance between the following two points: (0, -2) and (-5, -1) O 5 O 21 O 26 O 11

A: Distance formula: Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 −…

Q: 5.5 ft 4 ft 24 ft

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Q: (3 marks) Find the equation of a circle whose center is at (3, 3) and tangent to the circle x? + y?…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: find the area of the repian inside the Circle =6 and above the line r=3csco.

A: Put both equation equal and find points where they meet

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: 75° В 15 ft A

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Q: L K 8 3.6 J

A: We have given  a  circle  KL=8  So OK=OL=KL/2=8/2=4 Radius =JL=x Using Pythagoras theorem…

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:…

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…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.