If C is the unit circle x² + y? = 1 oriented counterclockwise and F (x, y) = xi +y j, what is the value of F. dR? C

Q: If R is the disc with center at the origin and radius 5 then the numerical value of Lxds R xdA is…

A: We have to find the numerical value of  ∫RxdAwhere R is the disc with centre at origin and radius 5.

Q: 1+ 1 А 3. Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the…

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Q: Given circle Z with tangents XW and XY, what is measure of arc WVY

A: We need to find measure of the arc WVY. We shall use the relation between Circles and angle between…

Q: The set of points {(x, y, z) | x² + y² = 2x} is a circle of radius 1. OTrue O False

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Q: Determine a∈R such that ∫CF⋅dr = −2−(3π/4), where F (x, y) = (ay, (x^2 − y)/2) and C is the part…

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Q: B) Use Green's Theorem to evaluate /F-dr, where C is the circle r² + y? = 4 and F (r, y) = (y – 2…

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Q: In the accompanying diagram, PÁ is tangent to circle O at A and PBC is a secant. If AB:BC: CA =…

A: Given PA is tangent to circle O at A and PBC is a secant to find angle P

Q: Choose the correct answer 1- The circle x+y 1, this mean :- a- C= 0,0, R=2 b- C= 0,0. R=1 c- C=1.1,…

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Q: Here is some information about Circle J. • VR is tangent to the circle. MZXJT = 130° MZRST = 46° m…

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

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Q: By Green's theorem, if C is the circle x2 + y? = 4 taken anticlockwise, then fv dz - z'dy, equals…

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Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to

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Q: Given: Let AC = a, and BD = b be the diagonals of a rhombus. Suppose a circle with radius OP =r is…

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Q: %3D In circle H with mZGKJ = 27, find the mZGHJ. J

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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: where C is the circle with positive orientation. e2021z dz Yo (22 + 4)² (2² – 1) (a) C: |2 – 2 – i|…

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Q: BG and BH are tangents that intersect circle M at points G and H, then A. MZGMH = 120° B. BG = BH C.…

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Q: In the following sketch, PQ is a tangent to the circle. PQ ||BC. Prove that ABCD is a cyclic…

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

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Q: In the given figure , the common tangents AB and CD to two circles with centres O and O' intersect…

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Q: Find the center C(h,k) and radius (a) :of the circle x² + y° – 4x – 4 C(4, 3/2), a = 5 O С (4, 0), а…

A: Solution:-

Q: Use Green's theorem to evaluate O -x²ydx + x°dy, where C is the circle x? + y? = 4 with a…

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Q: Evaluate f, z dz, where C is the unit circle in the counterclocwise direction. O 2ni O 4ri O -2ni

A: Given: ∮C Z¯dz we will use the the result: Given the ingredients we define the complex line…

Q: Use Green's theorem to evaluate -y dx + x dy, where C is the unit circle r? + y? = 1

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Q: A point is roaring with uniform circular motion on a circle of radius r.  Findw if r =7cm and…

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Q: In the diagram below, JK is tangent to circle M. Answer the following. If MJ = 16, ML = 16, and LK =…

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Q: O Evaluate + z )ds where C is the circle F(E) = for 0EEE Zo

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Q: Integrate counterclockwise around the circle |z – 6i| = 3. z(z – li)? - NOTE: Enter the exact…

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Q: By Green's theorem, if C is the circle r + y = 4 taken anticlockwise, then z*dy, equals -27. none of…

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Q: Given: Let AC = a, and BD = b be the diagonals of a rhombus. Suppose a circle with radius OP =r is…

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Q: If (x, y) is any point on the unit circle, and t is the distance from (1, 0) to (x, y) along the…

A: x, y is any point on the unit circle and t is the distance from 1, 0 to x, y along the circumference…

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: JK, KL, and LJ are all tangent to circle O (not drawn to scale), and JK E LJ .JA = 9, AL = 10, and…

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Q: What is the radius of the given contour C : |z+ 6i| = 9+ 10, 0 < 0 < 2T ?

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Q: If C is the unit circle centered at the origin and oriented counterclockwise, then Lo -y - x) dx +…

A: Since the C is the unit circlr centered at the origin and oriented counter clockwise.we have to find…

Q: b) |Im(z)dz, where C is the circle |2| = 2 traversed once counterclockwise. %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In the diagram below, JK is tangent to circle M. Answer the following. If MJ = 7, ML = 7, and LK =…

A: We have that the tangent and radius line at a point on the circle makes an angle of 900. So the…

Q: Evaluate fc (2 +x 2y ) ds, where is the upper half of the unit circle x2 y2 =1

A: We have to evaluate ∮C2+x2ydS   where C is the upper half of the unit circle x2+y2=1

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

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Q: Show that w is in span(B) and find the coordinates of w with respect to B. B = 6.

A: Linear Algebra

Q: In the following sketch, O is the centre of the circle. AE= ED and DT=TC. %3D Prove that (1) Ê =Ô¡…

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Q: 4. ABCD are vertices of a quadrilateral inscribed in a circle with center E. BF and CF are tangents…

A: We have to find the angle.

Q: AC is tangent to circle O at point C. A 23° C What is the measure of LAOC?

A: Given : AC is tangent to the circle O at the point C

Q: In R', the equation x² + y + z? = 4 describes a sphere of radius 2. Select one: True O False

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

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Q: a) Because point Q is their common R V center, these circles are known as (W circles. b) If RQ the…

A: a) We know that the circle having same center but different radii are called as concentric circle.…

Q: Given: Let AC = a, and BD = b be the diagonals of a rhombus. Suppose a circle with radius OP =r is…

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Q: 4. JK, KL, and LJ are all tangent to cirele O1 JA = 13, AL = 12, and CK = 9. Find the perimeter of…

A: Triangles

Q: If C is the circle of radius 3 centered at the origin, starting at the point (3, 0) and moving…

A: -81π/2