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

Q: Find the length of the curve y = x³/2 from (1, 1) to (2, 2/2).

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Q: Q3: Evaluate z + 1 $c (z6 + 5z5 + 4z¹) (z + 4) dz where C is the circle |z1| = 5

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Q: Write the standard from of the equation of the circle with center at (-3, 5) that is tangent to the…

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Q: 8. , (2x – y) dA, where R is the region in the first quadrant enclosed by the circle x? + y² = 4 and…

A: Dear bartleby student ,According to bartleby rule Answer the first question, unless the student has…

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

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Q: Find the length of the arc of the curve 9y? 4x3 from the origin to the point (3,2v3).

A: Here, the given curve is: 9y2=4x3⇒y2=4x39⇒y=23x32 Now, the length of the curve on [a,b] is given by:…

Q: Find the length of the curve. 33 X = x=11t°, y= ², t,0stsv3

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

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

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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: Use Green's Theorem to find SF ·dř where F = (y³, –x³) and C is the circle x² + y² = 3. %3D %3D

A: The given vector is  F = y3i - x3j

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

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Q: What is the shortest distance from the surface xy + 15x + z2 = 204 to the origin? distance =

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

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Q: dz Find an upper bound for 9c z4 –5z²+6 dz, where c is the circle |z| = 4.

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

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

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

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Q: 2: Evaluate O (6y+x)dx+(y+2x)dy where C is the circle (x–2)²+(y-3)² = 4 | a) Using Green's Theorem

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Q: 3. If YX = 24 meters and mYX = 120°, then determine the radius of circle H. %3D

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Q: Evaluate |2*(x +7) – 2y ds C where C is the circle of radius 1 centered at (-3,0) and lying on the…

A: Since the integral ins on the plane x=-3 so the integral becomes:  ∫Cz3x+7-2yds=∫Cz3-3+7-2yds…

Q: - Find the equation of the tangent to the circle x2 С. Зх + 5y + D. Зx - 5y + А. Зх + 5y -34%3D0 B.…

A: Find the equation of the tangent to the circle x² + y2 - 34 = 0 through (3, 5).

Q: 16 6xy ds, where C is the right half of the circle x² + y² = 4. Evaluate the line integral

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

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Q: Find the length of the curve y = In(1 – x), 0sxs.

A: Given: y=ln(1−x2)0≤x≤12

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

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Q: Find the length of the curve y=x^3/2 from (1,1) to (2,2squareroot2)

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Q: Verify Green's theorem for $[xy² dx + x²y dy], where y is the circle x? + y² = 4.

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Q: Find the exact length of the curve. y2 = 16(x + 4)3, osxs 2, y > 0

A: Given data:   The given expression is y2=16(x+4)3. The given limits of x is [a,b]=[0,2].   The given…

Q: Evaluate O (6y+x)dx+(y+2x)dy where C is the circle (x-2)²+(y-3)² = 4 Without using Green's Theorem.

A: We will find out the required value.

Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…

Q: Find the equation of tangent to the circle x + y = 25 at the point (3, –4) %3D 25 ix + O b. y = 7 O…

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Q: Evaluate P (3x + 4y) dx + (2x – 3y) dy where 'C is the circle x?+y = 4.

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Q: 4. Evaluate / (z – 2) dz where C is the lower half of the circle |2 – 2| = 4.

A: Note: According to bartleby guidelines we have to answer only first question please upload the…

Q: Find the length of the curve y x7 from ¤ = 0 to x = 15. 2/3

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Q: Evaluate |*(x + 7) – 2y ds where C is the circle of radius 1 centered at (-3,0) and lying on the…

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Q: Determine the area of the region in the second quadrant that lies between the circle r = π and the…

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Q: Evaluate f. y3 dx - x3 dy where c is the circle x2 + y2 = 4

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

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Q: Find the arclength of y 3x3/2 on 1 < x < 3

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

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Q: Find Ja xydx + sin(x)ydy, where C is the boundary of the triangle with vertices (0,0), (0, 1) and…

A: Let I is the value of given Line Integral.

Q: Find the length of the curve 3 y = x7 – 2 from x = 0 to X = 4.

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Q: Find the length of the arc of the curve 9y? = 4x3 from the origin to the point (3,2V3).

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Q: Express you answer in Mdx + Ndy = 0. 1. Circles whose center is passing through y = 4x %3D

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

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

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Q: $ ydx – xdy where C is the circle of radius 3 with center at (13, 28)

A: We use Green's theorem to evaluate the given line integral

Q: Q4: Evaluate fo z² - 3z + 1 z + 2i -dz 312 where C is the circle |z + 11 = ²/

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