Calculate $ -a? y dæ + xy dy, where C C is the circle of radius 2 centered on the origin. Select one: а. 18п 3 b. 16T 3 С. 17 T 3 d. Non of them е. 19t 3

Q: Evaluate S. y? – 10xy ds where C is the left half of the circle centered at the origin of radius 6…

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

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,…

A:

Q: 4. Compute, ydx + xdy x² + y² where C is the circle centered at the origin of radius 2 oriented…

A:

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

A:

Q: Find the curvature k of the circle C: (x – 2) + (y +3) = 16 at the point (2, 1). O k = 5 Ok = = 4.…

A:

Q: Which of the following represents a circle with center at the origin and radius 36? O x = 6 cost, y…

A: Using Standard equation of circle with center at (X1, Y1) and radius r,

Q: Evaluate x+y JF dx dy x² + y² + a² over the portion of the first quadrant lying inside the circle x²…

A: Answer is given using polar coordinates.

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

A:

Q: Find the curvature k of the circle C : (x – 2)² + (y + 3)² - at the point (5, 1).

A:

Q: Find the curvature K of the curve. r(t) = 5ti + 2tj %3D

A:

Q: Let F(x, y) = 4yi + (2æ + ev* ); Calculate ,F · dr, where C is the circle of radius 2 centered at…

A: Given that F(x,y)=4yi+2x+ey2j The objective is to calculate ∫CF.dr where C is the circle of radius 2…

Q: b) Plot for A brietly comment y=Au n trans formation on the length and width Pa A of the oom.

A: Given A=300-1. For xy∈ℝ2,  Axy=300-1xy=3x-y Therefore, GraphA=x,y,3x,-y|x,y∈ℝ2 For example if…

Q: Evaluate xy ds where C is the right half of the circle given by x² + y² = 16 (i.e., the portion of…

A:

Q: Jc z + 1 dz, where C is the right half of the circle |z|=1 from z = -i to z = i

A:

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

A:

Q: cos TTZ 6. Evaluate -dz, where C is the circle |z| = 4 c 23-7z+6 ezt

A:

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

A:

Q: Find the length of the secant XY in the following diagram if the radius is 6, XW= 9 and WY =XZ z а.…

A:

Q: Find the surface area of the torus generated by revolving the circle given by r = 2a about the line…

A:

Q: Q13) the curvature of the circle of radius (r) is: * O 4 ja O 2 J 27 O 1 J4 O 3

A: Given:The curvature of the circle of radius (r)

Q: Evaluate the double integral 1+ 4x² + 43²&A where D is the bottom half of the circle x? + y? = 16.…

A: In polar coordinates,                                   and

Q: dz The value of the integral Jc 22+9 where c is the circle z - 3i| = 4 is %3D

A:

Q: Evaluate (25 + 2xy – 2y²) ds, where C is the part of the circle x² + y² = 25 in the first quadrant.…

A:

Q: Evaluate O y°dx – x*dy, where C is the boundary of the region between the circles a? + y² = 4 %3D…

A: See below

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

A:

Q: e2z Evaluate a dz, where C is a circle with (z+1)* centre at origin, |z| = 3.

A: Given integral is ∮Ce2z(z+1)4dz Where C is  |Z| = 3

Q: dø What is the curvature of the circle, x2 + y2 = 36 ? hint: k = ds change in angle of circle change…

A:

Q: 5. Complete the square in order to determine the center and radius of the given circle: x² + 6x + y2…

A: This question is related to circle equation and area of shaded region inside circle.

Q: Ex: Fmd the lengthoftre arc af the Circle with P.R. ret)= [acest from Co,0 to asiut] o Ofa),- %3D

A:

Q: Please evaluate P (3y – esin(@)) dx + (7x + Vyª + 1) dy, - where C is the circle x2 + y? = 9. Hint:…

A: See the details solution in below

Q: Calculate $ -a?y da + xy² dy, where C is the circle of radius 2 centered on the orig Select one: а.…

A:

Q: Evaluate o y dx – x³ dy, where C includes the two circles of radius 2 and radius 1 centered at the…

A:

Q: Calculate - 2x²y dx + 2xy² dy, where C is the circle of radius 3 centered on the origin. use this…

A: Given that, Pdx+Qdy=-2x2dx+2xy2dy, Therefore, P=-2x2y, and Q=2xy2, Thus, need to use Green's Theorem…

Q: BE f : C+ C GIVEN BY AND C IS THE CIRCLE OF CENTER IN z0 = a + br AND RADIUS r f(z) = z = + yr b 20…

A:

Q: Find the cylinder surface determined by Curve 4x?+9g? -36=0 and d= ( 1, -1. 32 line.

A:

Q: Find the surface area of the torus generated by revolving the circle given by r = 5a about the line…

A:

Q: (b) f2zdz where C is an arc of circle z = 2t3 + i(t – 4t3 + 2) - 1<t<1. (c) S Re(z)dz along the…

A:

Q: Match the part of the circle with the term that best describes it. - 1. GH A. Center 2. М B. Chord…

A:

Q: TQ and TR are secants from Point T to Circle A as shown below. R 70% •4 34 T. If mQR = 70° and mSP =…

A: To Determine: what is m∠T? Given: we have a figure in which TQ=TR are secants from point T to circle…

Q: Let f (z) = 4z, = Q A = 2and B=2+ 2i. Let C1 be the contour composed of the line segments O Aand AB…

A:

Q: :aliul J Evaluate xy ds where Cis the first quadrant of the circle, x2 + y? = 16.

A:

Q: ⒸFind S (x- y²) dA, where I is bounded by the circle of D center (0,0) and radius 2.

A: As per as our guidelines i am supposed to answer

Q: e²+y´ dydx, where D is the circular region inside the unit circle

A:

Q: Determine the length of the arc formed by y = 3x – 2 from x = 1 to x = 2. A. V7 В. 8 C. V10 D. 3

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 5. Evaluate (y +tan x)dx+(x -2ry+y)dy, where C is the circler +y' =4 and is oriented in a positive…

A:

Q: Find the curvature K of the circle C: (x - 2) + (y+3)² = 16 %3D at the point (2, 1).

A: Given: Equation of circle C: (x-2)2+(y+3)2=16 ⇒ (x-2)2+(y-(-3))2=42 We know that circle equation is…

Q: b) c) 200 A 10 in Length of the arc AB = %3D Len Area of a sector = %3D

A:

Q: le to D'M'S form. Round yo 67. 18.255 h of the arc of a circle of rad

A: Since you have posted many questions here, I can answer only one at a time. Please repost the other…

Q: 1 s(? + z)) z + i +8) dz, where C is the circle |z + i| = 1, 0 < t < 2m

A:

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

A: -81π/2

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.