Evaluate fo +2 dz where C is the left-half of the unit circle described in the counter clockwise direction, ccd.

Q: s of the circle below

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Q: Give the equation of the circle centered at the origin and passing through the point (0, 11). O=0

A: At first write the equation of circle then find out value of radius by putting the given point lies…

Q: Evaluate xy? ds where Cis the first quadrant of the circle, x² + y²= 16 . .A 256 3 .B 8192 5 .C 8192…

A: By line integration formula problem is solved

Q: Uonsan Find, dz where C is the circle z=3. e TT - 2z – 2 - 2t

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Q: Evaluate . (x² +y) dS where C is given as the part of the circle x? + y² = 9 between the points %3D…

A: given integral ∫Cx2+ydS where C is given as the part of the circle x2+y2=9 between the points 3,0…

Q: Evaluate | xy2 ds where C is the first quadrant of the circle, x2 + y2= 16 . .A 8192

A: We need to evaluate ∫cxy2ds Where c is the first quadrant of circle x2+y2=16

Q: Express the circle specified by ?=2cos(?)?=1+2sin(?) y=1+2 sin(?) inin Cartesian coordinates and…

A: Equation of a circle with radius r and center (h,k) is  (x-h)^2 + (y-k)^2  = r^2

Q: Evaluate xy ds where C is the right half of the circle x2 + y? = 9

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Q: 8. Use the figure to identify the arc as minor, semi-circle, or major. AB : Minor GCD: DFA: EF: ÁCD:…

A: Solution:

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 7n/6 (х, у) 3D

A: Find the point x,y on the unit circle corresponds to t=7π6.

Q: Find the point (x,y) on the unit circle  t= pi/2

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Q: In the diagram, SR is tangent to the circle at Q. If mPMQ = 212, what is mLPQR? м R 2.

A: 2. The figure of the circle is given by To evaluate : The value of m∠PQR when mPMQ⏜ = 212

Q: Consider the circle x2+ y2–6x–8y= 0 as shown in the figure below. Find the center and the radius of…

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Q: Use the situation below to answer Part A and Part B. Circle Q has a center at (-2, -3) and circle R…

A: Given  Centre of circle Q is at -2,-3 and Centre of circle R is at 1,-1.

Q: What are the radius and center of the following circle? x2 + y? + 4x – 4y + 4 = 0

A: Solution: The objective is to find the centre and the radius of the given circle

Q: (b) Im(2)dz, where C is the circle |z| = 2 traversed once counterclockwise.

A: i have used the parametrization of circle  |z|=2 , z=2e^it where 0<= t <=2pi and the…

Q: e2z dz, I (z+ 1)* (b) Where C is a circle |z| = 3

A: The given integration is ∮ce2zz+14dz where c is the circle z=3 Here the pole z=-1,which is of order…

Q: Find the terminal point P(r, y) on the unit circle determined by

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Q: If C is the right-half of the unit circle in the counter-clockwise direction, what is S zdz? 2ni Ti…

A: The complex line integral is denoted by ∫γf(z)dz  and defined by,…

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: Let f (2) = 5. Let C be the circle |z| = 2 in the counter-clockwise direction. What is 2ni Tf(2) dz?

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Q: In the figure to the right, F is the center of two concentric circles with radii FG and FA, mZGFH =…

A: *to find:- m∠ADC.

Q: Identify the center and radius of the circle. x2 + y? – 4x + 10y – 7 = 0 %3D

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Q: Determine if AB is tangent to the circle. 12 6.

A: In the question it is asked to proof that line segment AB is tangent to the given circle.

Q: Which of the following points is on the unit circle? ㅇ(-부 V31 -- /57 | 8. O (-1, –1) 1/2

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Q: Find the image of segment FE after a rotation of 180° clockwise about point P. H C K D. E

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Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 21/3 (х, у) %3

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

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Q: Evaluate xy? ds where C is the right half of the C circle x? + y? 4

A: C is the right half of the circle: x2+y2=4. Therefore use the parametrisation: x=2 cos t y=2sin…

Q: 4) Rewrite the equation of this circle in standard form. Identify the center and the radius. x? + y?…

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Q: Find the inverse of the circle x2 +y? = a?, the centre of inversion being the origin.

A: given circle is                                                 we know that inverse of a function…

Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. x² +y?…

A: The algebraic identities are a±b2=a2+b2±2ab, where a, b are any algebraic expression. Rearrange the…

Q: In the diagram, O is the center of a circle with OU= OV, and %3D XY= 13 cm. 国 Y

A: YZ=13 Because XY and YZ at the same distance from circle's center.

Q: Find the radius r of each circle if the area of the sector is 18.   .8rad r= 160 degree r=

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Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 71/4 (x, y) =

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Q: Find the center (h, k) and the radius r of the circle 4x2 + x + 4y? + y – 10 = 0.

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Q: C -dz, C is the unit circle. (z² − 9) (z² + 2) ª

A: A circle is a shape consisting of all points in a plane that are at a given distance from a given…

Q: 글 fe| 101 dz, where C is the circle |z+ 10i| =1+8, 0<0< 2n . Evaluate 2410i (z+105)

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Q: Evaluate xy ds, where C is the right half of circle x² + y² = 4 and is traversed in the clockwise…

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Q: If A is the center of the circle, then which statement explains how ED is related to FD? F D E

A: Given,

Q: Determine the center and radius of the following circle equation: x2 + y? – 2x – 12y + 36 = 0 -…

A: The standard form of the circle is given by the equation where is the center and r is the radius of…

Q: Find ∫Cf(x,y) dr, where C is the unit circle and f(x,y) = 2 −3y.

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Q: Give the equation of the circle centered at the origin and passing through the point (0, 8). O=0

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Q: f the circle sector. В. r= 4 0 = ft, 2

A: We have to find the arc length

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t= π/2 (х, у) -

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Q: E C. 7 8 7. Which of the following is a tangent of the attached circle? CD. АВ. EO GH D 00

A: Amongst all the lines, the line AB touches the circle (externally)

Q: Determine whether each segment is tangent to the given circle. Justify your answer. 1. HI 2. AB 40…

A: The tangent line is always perpendicular to the radius of a circle. If triangle ABC is a right angle…

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. х) Р(х, у) %3

A: t= 5pi/3 so we look at the 5pi/3 on unit circle. For this the terminal point P(x,y) is (1/2 ,…

Q: Given the tangents on the circles below, find the missing lengths. 2. Ac=? AB=? 3. DE? DF=? E 3x+ 13…

A: Given the tangents on the circles below, to find the missing lengths. (2)  AC=?AB=? (3)  DE=?DF=?…

Q: Find the sector Area for both of these circles

A: To find  The sector area of the given circles .