Calculate 8-2 dz, z(4 – z) where C is the circle of radius 7, centre 0, negatively oriented.

Q: A circle has its center at (3,-2) is tangent to the line 3x+4y-26=0. Compute the point of tangency…

A:

Q: Calculate 8- Z dz, c z(4 – z) where C is the circle of radius 7, centre 0, negatively oriented.

A: Given that:∫C8-zz(4-z)dz, C is a circle of radius 7, centre 0, negtively oriented.

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…

A:

Q: Sketch the section of the surface at x = 0. y? – 42? = 4

A: Given

Q: Find the area of the resulting surface if an arc of a parabola y = x? from (1,1) to (2,4) is rotated…

A: Given curve is y=x2

Q: Calculate 8-z -dz, z(4-z) where C is the circle of radius 7, centre 0, negatively oriented.

A: C : circle with radius 7 and centre 0, negatively oriented  f(z) = (8-z)/(z(4-z)) Singularity of…

Q: Integrate counterclockwise dz, C the circle with z2 + 12z + 35 center –5 and radius 2. dz z2 + 12z +…

A:

Q: Use the previous exercise to write the equation of the circle ofradius 5 and center (3, 4) in the…

A: Standard form of a equation of a circle whose center is (h, k) and radius is r is, x-h2+y-k2=r2

Q: Q2 Calculate 8- z dz, z(4 - z) where C is the circle of radius 7, centre 0, negatively oriented.

A:

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: 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: T. 9. TO = PO 10.Sector of a circle is the region bounded by two radii and their intercepted arc.

A: here we check whether the given statement is true or false.

Q: Q2 Calculate 8- z dz, z(4- z) where C is the circle of radius 7, centre 0, negatively oriented.

A:

Q: e iz dz where C is the circle z =3. zーT/2 Find,

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: The intersection between the surface x + y + z = - 1 and the circle x2 + y2 = 1,z = 0 is

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

A:

Q: CSCZ dz Where y is the circle 12- il =

A:

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

A:

Q: Evaluate (3y - esinz)da + (7x+ V +1)dy where C is the unit circle

A:

Q: Use Green's Theorem to calculate (4z? - 3yz)dr + (3zy + Vy? + 6)dy, where Cis the circle (r – 1)2 +…

A: Given: ∮C4x2-3yxdx+3xy+y2+6dy, where Cis the circle x-12+y-22=4. Greens theorem: Let C be a…

Q: Q2 Calculate 8 - z dz, (4- | where C is the circle of radius 7, centre 0, negatively oriented.

A:

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

A:

Q: Calculate $ -a? y dæ + xy dy, where C C is the circle of radius 2 centered on the origin. Select…

A:

Q: Describe the projections of the circle r(t) =〈sin t, 0, 4 + cost〉onto the coordinate planes.

A:

Q: Find a parametric description for the circle x2+y2-6y=0, oriented clockwise and where t begins at 0.…

A:

Q: Evaluate  ∫C (3y + exsinx) dx + (8x - ln(y3+2)) dy, where C is the circle x2 + y2 = 9  with positive…

A:

Q: . Find a parametrization for the circle (x – 2)² + y² = 1 starting at (1, 0) and moving clockwise…

A: Consider the equation of circle

Q: Find the Cartesian equation for the circle defined by the parametric equations x=1+2cost and…

A:

Q: Integrate counterclockwise dz, C the circle with z2 + 16z + 63 center –7 and radius 2. dz z² + 16z +…

A: Use Cauchy Residue theorem to evaluate this integral.

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: Q2 Calculate 8-る dz, where C is the circle of radius 7, centre 0, negatively oriented.

A:

Q: ſždz, y is the line segment from 0 to 1 + i §ždz, y is the unit circle with positive orientation

A: Line integral of function f(z) along a path C which given by parametric function γt from t=a to t=b…

Q: (b) Find eiz dz- (z + i)3 Izl=1.5 (the circle is oriented counterclockwise).

A:

Q: The circle of radius 1 centered at (-3, 4,1) and lying in a plane parallel to the yz-axis is a)…

A:

Q: Express the circle specified by x=2cos(θ)y=1+2sin(θ)x=2cos⁡(θ)y=1+2sin⁡(θ) in Cartesian coordinates…

A: Let's find.

Q: Consider the curve C which is the intersection of the surfaces shown in the attached figure.

A: To evaluate the below integral. ∫Cx−y−2zds

Q: Consider the line L = {z = x + iy e C, y = 1} Let C = {w 1 -, z € L} with Convince yourself that C…

A:

Q: Find the length of the circle of radius r defined parametrically by x=rcost, y=rsint,0≤t≤2π.

A: Here I am attaching image so that you understand each and every step.

Q: Integrate counterclockwise dz, C' the circle with z² + 8z + 15 center -3 and radius 2. dz = La z2 +…

A:

Q: Evaluate (² + y2) ds, C is the top half of the circle with radius 2 centered at (0,0) and is…

A:

Q: (a) Evaluate sin 2z dz, 3z -71 where C is an anticlockwise unit circle centred at the origin. 4.

A:

Q: Calculate 8 - z 'zp- z(4 - z) where C is the circle of radius 7, centre 0, negatively oriented.

A: In this question we have to find the Integration.

Q: Evaluate ds where C is the upper half of the circle centered at the origin with radius 1 with the…

A: Draw the curve C:  Here, we divide C in two parts:  C1 represented by the curved part C2…

Q: Q2 Calculate dz, - z) where C is the circle of radius 7, centre 0, negatively oriented.

A:

Q: Calculate 8-z dz, z(4 - z) where C is the circle of radius 7, centre 0, negatively oriented. (2ー2

A:

Q: Q2 Calculate 8- Z -dz, (4 – 2) where C is the circle of radius 7, centre 0, negatively oriented.

A:

Q: (b) cos(z) -dz, z2 + 2iz – 1 where y is the circle {|z + i| = 1} with counter clockwise orientation.

A: