Evaluate f.y ds where C is the upper half of circle x? +y² = 9, traversed in the counterclockwise %3D diroction

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: b) xy dA, where D C R² is the region of the 1st quadrant limited by the circle x2 + y? = 4 D and by…

A: Solution:

Q: Evaluate the line itegral where C is the upper half of the circle z +y = 3.

A:

Q: Evaluate | dz where c is the circle z| = 2. z (z+4)

A:

Q: Find the Center and radius ofthe cirde. h+h+x+ X %3D /2

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: e? – 1 (b) ( - 1y2 dz where C is the positively oriented circle |2| = 3. %3D z(z – 1)2

A:

Q: Show that [(x- y) dx + (x – y)' dy] = 3ra" taken along the circle x +y =a° in C the counter…

A:

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: Use Green'sTheorem to evaluate O ydx – xdy where C is the circle with center at the origin and…

A:

Q: .If C is the circle (traversed once counterclockwise) of radius 2 with center at z = 0, %3D 7e?…

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 evaluate O -x²ydx + x°dy, where C is the circle x? + y? = 4 with a…

A:

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

A:

Q: Evaluate F dī , where F(x, y) = (e* +x² )î +(e' – xy²)ĵ and C is the circle x² + y2 = 25, oriented…

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: 3 Use Green's theorem to evaluate [x³y dx - xy²dy, where C C is the unit circle x²+y=1 with…

A:

Q: Evaluate / (x? – 2y) dx + (2x – y²) dy where C is the circle x? + y = 4.

A: To solve the given integral problem.

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

A:

Q: Please evaluate (3y – ein(e) dx + (7x + Vy* + 1) dy, where C is the circle a? + y = 9. Hint: use…

A:

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

A:

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: Please evaluate (3y – einl2) dr + (7x + V yt + 1) dy, where C is the circle x² + y² = 9. Hint: use…

A:

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

A:

Q: Compute the following: = 4 located in the first quadrant. (a) S x ds where C is the portion of the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Consider the region left half-plane (that is, æ < 0), inside the circle x² + y? : and y = -6x .…

A:

Q: (y - eCos(e25! dx + (x2 + y+1) dy, where C is the circle r = 2.

A:

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

A:

Q: Find the curvature k of the circle C:(x – 2)2 + (y +3) = 25 - at the point (5, 1).

A: circle equation is x-22+y+32=25 and point 5,1find curvature k

Q: Compute . Z+1 dz, where C1 is a part of a circle with r = 3, and 0<0< %3D

A:

Q: If F = V(4x? + y*), find fc F dr where C is the quarter of the circle x2 + y? = 9 in the first…

A: Given : F=∇(4x2+y3)

Q: Given ZY = 25, What is the distance from ZS %3D U W T. S Y

A: Given:

Q: Find the length of the spiral r = O for 0 < 0 < 4. %3D Answer :

A: Given : Polar function for a spiral r = θ and interval 0≤θ≤4   To find : Length of the spiral for…

Q: 4. Let C be the the circle ² + y² = 4 and Calculate the work(W = [,F dr when C is traversed in the…

A:

Q: Find the center and radius of tthe followi cirdle. X-x+y -y=D2 ing

A: Given equation

Q: If F = V(2x2 + 4y), find F dr where C is the quarter of the circle x2 + y? = 1 in the first…

A:

Q: Problem the circle xây? a? otatad about the x- escis, fnd the Jolume of the Solid geverated 2.

A:

Q: Show by elimination that x = and y = almost represent the unit 2t2 + 2t + 1 2t2 + 2t + 1 circle x? +…

A: x =2t+12t2+2t+1, y=2t2+2t2t2+2t+1 ....(1)x2+y2=1 ...(2)put (1) in…

Q: ㅠ Use Green's theorem to find: where C is the circle x² + y² = 4 going counter-clockwise. -8T […

A:

Q: Find the length of the arc: C: x= 3t2 +2, y = 2t3 –1, 1st<3.

A:

Q: Find the upper bound of |[∫c ez^2 + 1 / (z - 1)2 + 5] dz|, where C is the circle |z - 1| = 2.

A:

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

A:

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

A:

Q: ARST is shown. XU = -4y + 20 and XW = 6y + 10. Find the radius of the inscribed circle of ARST…

A: The inscribed circle is the circle inside the triangle touching all three sides of the triangle.…

Q: rea of the closed region det

A: Given, the equation of the circle is                                        (x+2)2+(y-3)2=4

Q: If F = V(4x² + 4y³), find ſ, F · dř where C is the quarter of the circle x? + y? = 9 in the first…

A: