2z Evaluate] (7-1)(z-2) dz where C is the circle z=3

Q: -z Q2. In the circle |z| = 1, Find the upper bound for 9z4+3z²+2l

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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: .2 Use Green's Theorem to evaluate x-ydx - xy² dy , where C is the circle x +y² = 9 with…

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Q: Or Using Green's theorem find the value of 6 F. dr Where F(x, y) = (2e-5x – y²)i + (y³ + 2x²)j and C…

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

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Q: 6. Given a rule x² + y² = 9, its image rule x? + y² – 2x + 6y +1 = 0 under a translation, state a…

A: To solve the given translation problem.

Q: 6. State the center and radius of the circle: x + y² – 4x + 2y = 16 Center: (-2, 1) and r = 21…

A: The solution as follows :-

Q: Let f (z) = SLet C'be the circle |z| = 2in the counter-clockwise direction. What is | f(2) dz 2ri C

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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: (c) Evaluate L A – 423 + 4z² dz where C is the circle |z – 2| = 1. , z4 – 4z3

A: Given,       ∮C4z+2z4-4z3+4z2dzwhere C is the circle z-2=1

Q: Sketch the section of the surface at x = 0. y? - 25z? = 25 12 -12 -8 12 -4 -8 -12 4 -6 -2 -4 4.

A: topic - hyperbola

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: 5. Tangent B. Determine the center and radius of each circle: 6. x2 + y2 =16 7. (x-2 )2+ y2 - 13 8.…

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Q: ) Find the Extreme values of f (x, y) = x³ + y² on the circle x² + y² = 1. %3D

A: To find the extreme values of the function f(x, y) =x3 + y2  on the circle which is the…

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: 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: 6. Given a rule x2 + y2 = 9, its image rule x2 + y2 – 2x + 6y + 1 = 0 under a translation, state a…

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Q: 35. In the xy-plane, the circles with equations (x-3)² +y² = 11. and (x+2)² + y² = r² |3D %3D 2re…

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Q: Q4\ Find an equation for the tangent line drawn to the circle (x- 3)2 + (y + 3)2 = 50 at the point P…

A: We Know that A tangent to a circle at point P with coordinates is a straight line that touches the…

Q: ²²-i)² dx 2³+dz when the contour C is the circle |z − 21 = 5 +4 1 Z- COSZ Cosz, dz when the contour…

A: According to the guidelines only three subparts should be answered. Therefore to answer the rest of…

Q: z dz 2z ² +(1+i )z -i C is the circle |=|=2

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Q: Verify Green's Theorem where F1=y^2-7y , F2=2xy+2x and the curve C is a circle x^2+y^2=1

A: Given: F1=y2-7y , F2=2xy+2x and C is a circle i.e., x2+y2=1 As, we have:…

Q: Use Green's Theorem to find (8y + x) dx + (y + 2x) dy, where C: The circle (x - 4)2 + (y-3)2 9 541…

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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: 12.) Which of the following circles would show the locus of points in a plane 1 unit from the…

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Q: Formulate an verify Green theorem when [P, Q] = [2yx, y² + 2x] and the curve y is the positively…

A: According to the given information it is required to formulate Green theorem. When

Q: Find a path that traces the circle in the plane y = 3 with radiusr = 5 and center (0, –3, 2) with…

A: the plane y = -3 with radius r = 5 and center (0, -3,2) with constant speed 20 To determine a path…

Q: Let S be the quadric with equation 36x² – 4y? – 9z2 – 36x = 0 - - (a) Classify the graph of S. (b)…

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Q: Find the DE of a family of circles with center at (1,-2). Hint: Equation of circle with center (h,…

A: We know that equation of circle with center h, k and radius r is given by, x-h2 + y-k2 = r2 We have…

Q: Calculate both sides of Green's Theorem when F = [-x²y, xy²] and y positively oriented circle x2 +…

A: According to the given information it is required to calculate both sides of the Green’s theorem.…

Q: 5 – 4z Show that the reactiob w= transformation the circle z =1 4z -2 in to a circle of a radius…

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Q: Find the center of the circle(s) tangent to 5x – 2y – 1 = 0 at (1, 2) with a radius of 3. Express…

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

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

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

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Q: 2.2 Find upper bound of z +4 -dz - 3i)3 +1 where C is the circle |z – 3i| = 4.

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Q: Verify Green's Theorem for: f4y³dx-2x²dy where C, oriented anti-clockwise, is composed of the…

A: To find the integral ∮C4y3dx-2x2dy where C is the positively oriented closed curve x2+y2=9, y≥0 and…

Q: + 4z 53. Use (7.8) to evaluate dz around the circle |z – 2i| = 2. - z4 + 8z2 + 16

A: Given,  ∮z3+4zz4+8z2+16 dz  around the circle z-2i=2

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: 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: 2z-1 Find the upper bound of where C is the right half of the z* +5z +4 circle |z|= R, R>2

A: Given, I=∮c2z2-1z4+5z2+4dz, z=R, R&gt;2 Now, fz=2z2-1z4+5z2+4 For singularities of fz, we have,…

Q: Let f (z) -Let C'be the circle z 10in the counter-clockwise direction. What is 1 -Lf(2) dz? 2ri

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Q: Find the curvature k of the circle C : (x – 2)² + (y+ 3)² 16 at the point (2, 1).

A: Use the formula of curvature to solve this problem.

Q: Tangents are drawn to the concentric circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) at right angle…

A: We have to Show that locus of their point of intersection is a 3rd concentric circle and find its…

Q: 7 Find the Paametric equ. for the line f intersect of the Planes 3x- 6y -2z =15 and 2X+Y-22%3D5?…

A: Given two lines, 3x-6y-2z=15 ....(i) and 2x+y-2z=5....(ii) Putting z=0 in (i) and (ii) we get,…

Q: Find the distance from (.-4,5) to each of the following. (a) the xy-plane (b) the yz-plane (c) the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

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: fc x2 dx+x2 dy C consists of the arc of the circle x2 +y2 = 4 from (2,0) to (0,2) followed by the…

A: Given integral is ∫Cx2dx+y2dy from the point (2, 0) to (0, 2) by the line segment from (0, 2) to (4,…

Q: The DE for the family of circles of radius 9 is: A [1+ (y')²]³– 81=0 B [1+ (y')²]²- (» )²-[1+…

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Q: Consider the region in the fourth quadrant between the circles x² + y² = 4 and x² + y² = 25 and…

A: answer is in next step. please give a like !!