S. r.dr = .. .?, where C is the circle x² +y² = a²,z = 0 and r = xi + yj + zk

Q: Prove the following statement: If P and Q are any points on a circle with center O and radius OA,…

A: Suppose that any two points P and Q lie on the circle centered at O and its radius is OA.

Q: If C is the unit circle x² + y? = 1 oriented counterclockwise and F (x, y) = xi +y j, what is the…

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Q: 16. Find the length of in the circle. Y is the center point. YZ = 5, and MLXYZ = 45. %3D rloso eme…

A: We have given a circle and the radius of the circle YZ=5 angle XYZ= 450

Q: Let C1 be the unit circle oriented counterclockwise, and let C2 be the circle of radius 2 centered…

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Q: 11. Given Circle B with diameters HC , EG and DA. a) MZDBH= b) mbeE %3D c) mFt; d) mHer 22 61 38 c)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given C is the unit circle z=1, then dz = %3D None 2 T - i - 2 Ti

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Q: Given circle O, AB OC and MZDEC = 27. Find x and y. 270 D F O x = 54 and y = 126 %3D x = 126 and y =…

A: Explanation of the answer is as follows

Q: Which of the following circles are similar? B a. Circle A and Circle B b. Circle A and Circle C c.…

A: Each circle  having different  radii are similar. Because  each circle  is zoomed out or zoomed in…

Q: If C is the unit circle x² + y² = 1 oriented counterclockwise and F(x, y) = x F. dR? -T 2π TT î 1 C…

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Q: Let AA be the area of a circle with radius rr. If drdt=4drdt=4, find dAdtdAdt when r=1r=1.

A: Radius of circle, r = 1 dr/dt = 4

Q: Given C is the unit circle |z =1, then z dz = IN

A: We use definition

Q: see attached

A: Using the property of adjucent sides are equal

Q: What condition must be R satisfied for it to be possible to circumscribe a circle about trapezoid…

A: The condition                  that should be satisfied for the trapezium to circumscribe a circle…

Q: Given C is the unit circle z =1, then dz = - 2 Ti o 2 Ti o None -i

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Q: In circle A below. points B, C, and D lie on the circle, and MLBCD = 60. %3D 60 [Seec MLDAB= degrees…

A: Angle subtended at the centre of the circle is double the angle subtended at any other point on the…

Q: In the figure below, the segments WX and WY are tangent to the circle centered at O. Given that…

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Q: In the adjoining figure, O is the centre of a circle. Two equal chords AB and CD intersect at P. If…

A: Given: In the above figure, O is the center of the circle and AB and CD are two equal chords…

Q: Jo the figure alongside, O is the centre of a circle. If PB = PD. M. prove that OM ON.

A: Given  In the figure , O is center of the circle  and PB =PD .

Q: 4. If AB is a diameter of a circle with center P, and X ånd Y are polits UI circle such that XY…

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Q: 30. If z = aZ™ + bZ", where m, n are positive integers and a, b real, then as Z describes the unit…

A: Given that,z=aZm+bZn Where m and n are positive integers. Now let m=1, n=1. a,b are real so let a=2…

Q: 2. ABC is tangent to the circle O at B; DB and EB are chords, BF is a diameter. If BE = 100° andZABD…

A: Sum of angels in a triangle is 180°.

Q: Which of the following points is on the circle below O (10, 6) O (8 , 121) O (5, 5) O (54, JA6)

A: Given query is to find the point on the circle.

Q: If C is the circle |2| = 2, given clockwise, then the integral Sc dz is (z–41)² Select one: O a. -2…

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Q: Given AB and AC are lines that are tangent to the circle with m ZBAC=40°, what is m ZBDC? 40

A: For a circle, the angle subtended by two tangents originating from the same point and the radius of…

Q: Given a circle with diameter DE, find 2 points X and Y on the circle such that F is the orthocenter…

A: To find 2 points X and Y on the circle such that F is the orthocenter of △XDY.

Q: O Let be the area of a cirele a circle with radius r. if dE=S, find dA cwhen

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Q: Let z be a complex variable  z=x+iy question attached in pic

A: To examine the complex integral of the given rational function over different contours (circles) in…

Q: Please help me with this question. Thank you

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Q: 3b) Circle correct choices from among Y, N, Proof, and Witness and provide below a proof or witness…

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Q: A 4-3 6 7 8 C. -2 th

A: Given : larger circle with center A(3,4) with radius r1=5 and smaller circle with center C(0,-1)…

Q: Given C is the unit circle z =1, then dz 2 T None - 2 Ti 2 Tt IN

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Q: Consider the circle below where m/DBE =26 and mEA =42". Determine MLACD. 26 D 42 mDE v degrees MLACD…

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Q: II. Find the radius of the following circumscribed circle. 1. 2. 3. 15.1 18.7 25.5 20.3 20.3 22 15…

A: Find your answer below

Q: Given circle P with NK and QK tangent to the circle and m/NPQ=112°, determine m/NKQ. PS K A 112° 34°…

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Q: 8. Use the diagram of circle H to find JK if DG = 24 and FH=I %3D G. JK = D 7, F.

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Q: By Green's theorem, if C is the circle z+y =D4 taken anticlockwise, then 'dy, equals

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Q: B) Evaluate fLn z dz around the circle | z| = 2

A: Ln z has singularity at z = 0. But we cannot use residue theorem as Ln z has non isolated…

Q: . Let r be the radius of the circle inscribed in a right triangle with legs a and b and hypotenuse…

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Q: -Region shared between the circles (r=2cos0) and (r=2Sino) season

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Q: (i) Evaluate $.z'dz, where C is the positively oriented circle |z- 1| = 1.

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Q: Evaluate 6252 6251 6250 6254 6253 Ads, where C is the right half of the circle x² + y² = 25.

A: To evaluate the given integral.

Q: Given a circle passing through the point (5, 9) with radius equal to 4, which of the following could…

A: We know that radius of a circle is the distance between centre and the point on the circle.  Here we…

Q: Given C is the unit circle z =1, then z dz o -2 Ti None 2TT - i 2 Ti Windows Bu

A: 2pi×i option d

Q: Centre is on the line x = 3 and passes through the points (6, 5) and (6, 1).

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Q: Given circle O, AB OC and m/DEC = 27. %3D E 270 C Find z and y. I = 54 and y = 126 O z= 126 and y=…

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Q: Given AB and AC are lines that are tangent to the circle with m ZBAC= 40°, what is m ZBDC? 40

A: At the point of contact of the tangent of a circle, the tangent forms a right angle with the radius…

Q: C. D Given: Circle C with inscribed quadrilateral DEFG Prove: mLD + mZF =180°, mZE + mLG = 180° ww…

A: We can proof By arc addition and the definition of arc measure and the sum of Central angles.

Q: 8. If C'is the circle |z – 1| = In the counter-clockwise direction, what is fa sScdz? z-1 27i 2rie…

A: