What is the rule for reflecting over the x-axis: (x, y)→ Write your new coordinates here: What is the rule for rotating 90° counterclockwise: (x,y) · Use the coordinates from above, apply th rule, and write your new coordinates here

Q: nter the exact answer. Im z? dz

A: Given, the vertices of the triangle are 0, 2, 2i.

Q: Use polar coordinates to evaluate (x² + y° )% dy dr.

A:

Q: Letf(2)=z²5z +92. Use polar coordinates to find ƒ(−1+1). of (1 + i√3).

A: (b) .

Q: y = ay +b cos(wt) Scale and non-dimensionalize: C1 C2 Pick c1, c2 + change variable

A: We have to define this partial derivative in terms of x and t

Q: Rectangle KLMN is translated -5 units vertically and then reflected over the y-axis. What…

A:

Q: Q2: -A meter stick in the x'y' plane makes angles of 45° with the x' and y' axes. O' and the meter…

A: The angle that the metre stick make with x axis is

Q: Convert to standard from and give the center and radius: x^2+ Y^2 - 2x +6y - 1=0

A: x-h2 +y-k2 =r2 (h , k) is centre and r is radius .

Q: Find the acute angle between the planes x + y = 1 and y + z = 1.

A: The acute angle between the planes x + y = 1 andy + z = 1. Use the cosine definition of the dot…

Q: the center and radius for each. z' + y? = 49 +y? = 324 2² + (y + 2)° = 64 (x+ 2) + y? 64 (z – 5) +…

A:

Q: Convert from polar to rectangular coordinates: (a) (9, 풍) →(1,) (b) (5, 플) →(2,J) (c) (6,7) 今(L,)

A:

Q: x y ● = Find the dot product of 1 18 0 — -2 and y = 1 2 4 ●

A:

Q: Parametrize y = -x2 + 4 in terms of u and v %3D

A:

Q: m Evaluate 8 +p° when m = 8, n = 2, p = 7.

A: Explanation: The given expression is: 8-mn+p2 put m=8, n=2, p=7

Q: I need a 3d sketch of the equation  Z=x+xsiny+xy

A: z=x+xsiny+xy

Q: Why do you use cosecant on the boat that's traveling northeast?

A: We have resolved the x and y components of the speed.

Q: Vector equation of the circle (x - 3)2 + (y+ 2)2 = 16 is: %3D (A) 7(t) = (B) 7(t) = (C) 7(t) = (D)…

A:

Q: メ~ zCe,52) %3D n-1 ECX; - 2) %3D Find MSECT.) and JustCTs) ?

A: Given      X~Nμ, σ2 T1=S12=∑xi-x¯2n-1   and   T2=S22=∑xi-x¯2n+1

Q: Evaluate f" Na-*) /x² + y² dydx, using polar coordinate. -a

A:

Q: Counter-clockwise: Clockwise: Rule: 90 270° (x, y) >(-y, x) 180° (x, y) →(-x, -y) 180° 270° 90 (x,…

A: The correct answer is option A. The transformations are given as  Counter clock wise  Clock wise…

Q: B) (10 M) Find the parametric equation of the line through the point p (-2, 0, 5)- and parallel to…

A: Let's find.

Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: Find the general soladtion of y+5y'=5

A: Given equation is y"+5y=5                          (1) Auxiliary equation to the homogeneous…

Q: The axes are rotated through an angle of л/3 in the anticlockwise direction with respect to (0, 0).…

A: The axes are rotated through an angle of   in the anticlockwise direction with respect ot (0,…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.