For a given line L, let Omega _{l}(x) be the relectoin of point X with respect to line L. Omega _{l}(x)=X if and only if X is in L.

Parametrize the contours of integration and write the integrals in terms of the parametrizations. Do not calculate them.
$\int \frac{\overline{(}z)}{z^3}dz$
where
$\mathrm{\Gamma }$
is the arc of the circle of radius
$\sqrt{2}$
centered at the origin with initial point at 1+i and terminal point at 1-i that lies in the right half-plane and is transversed once.

I asked a question similar to this last night and felt that everyone was very helpful. I'm hoping to see the solution to this problem as I feel completely lost.

To prove:The congruency of ${\displaystyle \overrightarrow{MH}\stackrel{\sim }{=}\overrightarrow{JO}}$.
Given information:
The following information has been given GJKM is a rhombus
${\displaystyle \mathrm{\angle }JOG=\mathrm{\angle }MHG={90}^{\circ }}$

A conic section is said to be circle if the eccentricity e=1

I have an arc of a circle, and I have some other point in space (this might lie on the arc or it might not). I am looking for a formula that will compute the closest point on the arc to the other point. I also need to be able to get the distance from the start of the arc to this closest point.
what I know about the arc is: (1) the circle centre, (2) the angle of the beginning of the arc, (3) the arc angle, (4) the circle radius, (5) begin and end points of the arc on the circle circumference, (6) the direction the arc is going (i.e. Clockwise or Counter-clockwise)
what I know about the other point is: (1) its position

Consider quadrilateral CREB made up of squares COAB and OREA, where AE=4. Assume squares COAB and OREA are congurent

Given 2 rectangles. Model the area of each using a quadratic function, then evaluate each, considering x=8.
(1st) l=2x+4. h=x+3
(2nd) l=3x-9. h=x+2

Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor.