1 (z-a)m Sca -dz, m > 1,m € Z.

Q: G) for G) For anycurve, x= 3t,y=312,2=2t3, Show that 6 -

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Q: Show that the equation of a circle passing through the origin and having intercepts a and b on real…

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Q: A circle with center at the origin and radius equal to a meets the axis of x at A and B. P(a) and…

A: The coordinates of A are (-a,0) and that of P are (a cos α,a sin α)  Therefore,the equation of AP…

Q: What are Bézier curves?

A: A curve is an infinitely large set of points. Each point has two neighbors except endpoints.

Q: 1) Find the length of the curve? X = y 3 + -| 1 4y from y=1 to y ==

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Q: Determine -dz, C: counterclockwise circle |z-il=3.

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Q: 6. Evaluate [(x + y²)dx – xdy where C is the circle "x²+y² : = 1" with a counter- clockwise…

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx B) Write the equation for the…

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Q: The radius length of the circle with equation x – 12x + y² – 4y=9 is:< A 20 D E 40

A: The equation of the circle is                                                       x2-12x+y2-4y=9

Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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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: O Find the coordinates of points where a line intersects a circle.

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Q: Consider the curve 2y° + y – y° = x* – 2x° + x². a) This curve has sometimes been likened to a…

A: Given: 2y3+y2-y5=x4-2x3+x2. Graph the curve: The graph of the function represents a bouncing…

Q: b) Calculate dz z² - 1 S ₂ Along the positive direction of the curve |z| = 2 Hint: The curve |z| = 2…

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Q: 1) Find the length of the curve? X = y 3 3 + 1 4y from y = 1 to y = 3

A: we have given curve

Q: ) Find the pdar eawation for the cartesian curve x²-y²= \x?+yz A)rsinz0=2 b)r=ュ )cos 20=1 Dr=cos2@…

A: In polar coordinates, substitute x =r sin(theta) and y= r cos(theta)

Q: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

A: Does the product of inversion in the circle of radius 1 centered at the origin with inversion in the…

Q: Let f (2) = 37, O = 0, A = 6 and B = 6 + 6i. Let C1 be the contour composed of the line segments OA…

A: The given problem is to evaluate the given complex path integrals over the given different paths.

Q: O Find the length of the following curves 4/2 3/2 + Dx, 0<I<1, 3 i) y(r) = 21 ii) 1 = ² + 21, y=…

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Q: Find the locus of the centers of the circles x² + y²-2ax-2by- +2=0, where a and b are parameters, if…

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Q: Find the areas fer theholLLawing egions: Regionenclosed by the Curve (r=2cosz0).

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Q: Show that the equation of a circle centered at zo with radius R can be written as |z|² - 2 Re(zzo) +…

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Q: To construct a tangent to OR from a point S outside OR, you need to construct: (A) the perpendicular…

A: In order to construct a tangent to ⊙R from a point S outside ⊙R, we need to follow these steps Draw…

Q: . C is the part of the circle x2 + y? = 36 in the upper half plane y > 0, oriented…

A: Given query is to find value of the integral.