) Explain the Cartesian and Polar coordinate transformation with suitable diagram.

Q: 60. Show that the distance between two points P1(x1, y1) and P2(x2, y2) is invariant under rotation.…

A: For the points P1 and P2 , the distance between the points is given d(P1,P2)=(x2-x1)2+y2-y12 . For a…

Q: Which Image shows a rotation?

A: Given that:  1.                                          2.

Q: Find three additional polar representations of the point, using -2x < 0 < 2n. (Enter your answers in…

A:

Q: 9- Give five examples about application of polar coordinates in real life

A:

Q: Determine whether the statement " If x &gt; 0, then the point (x, y) on the rectangular coordinate…

A: Consider a point (x, y) on the rectangular coordinate system  Draw a line joining that point to the…

Q: snip

A: Polar system is a two-dimensional system . "r" is the distance of the point from the origin .  θ is…

Q: 1-Write two examples about converting from polar form (r.) to rectangular form (x,y)

A:

Q: Consider the point ( 4v2, ) 57 in polar coordinates. What are the corresponding rectangular 4…

A:

Q: change from polar to cartesian Corordina tes (3,)

A: We have to change the cordinate

Q: Which polar coordinates represent the same point as (4, –1/2)? (Select all that apply.) (4, –5x/2)…

A: Polar coordinate

Q: Find the analogous polar equation for horizontal lines in the xy-plane.

A:

Q: One polar coordinate representation for the rectangular point (2, – 2) is (2/2.* (2/3. - :) -(2/3. -…

A:

Q: Determine whether the statement " If (r1,  1) and (r2,  2) represent the same point on the polar…

A: (r1,θ1) represents the point r1(cos(θ1)+isin(θ1)).(r2,θ2) represents the point r2(cos(θ2)+isin(θ2)).…

Q: How are the symmetries of a graph in polar coordinates recognized?

A: Properties: For a polar equation in the form r=fθ,

Q: Graph the image of the figure using the transfor and its image. 1) rotation 180° about the origin…

A: In the question it is asked to calculate the image of the given graph by taking a rotation of 180°,…

Q: 3 plot the polar graph r=2(1-sino) %3D

A: Given : Graph = 2 (1-sinθ)

Q: The polar coordinates of a point are unique. True. False.

A: Each point has a specific polar coordinate, which is combination of its distance from origin and…

Q: Give two polar representations for the point (x, y) = (0, 1), one with negative r and one with…

A: Check the polar representation.

Q: Plot six points satisfying the polar equation r= 4. 3 2.

A:

Q: (2) Can the change of cartesian coordinates to polar coordinates in R? be expressed as a linear…

A:

Q: Which figure shows a rotation followed by a translation?

A: as we can see here flag is rotated 90 degrees in a clockwise direction so here we have a rotation…

Q: To test if the graph of a polar equation may be symmetric with respect to the line θ = π /2 ,replace…

A: We fill the blank space as

Q: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…

A:

Q: Express the Cartesian coordinates (-3/3,-3) in polar coordinates in at least two different ways.

A:

Q: 2. Give 3 other representation of the polar coordinate (changing the sign of r at least once). (2)

A:

Q: Express the 2D Cartesian  point P(5,10) in Polar coordinates

A:

Q: Transform (0, y) from rectangular into polar form (here y is any negative number).

A: We have convert rectangular coordinates (0 , y) into polar coordinates: Where y is negative number-

Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

A:

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

A:

Q: Reflection of ?

A:

Q: What is the order rotation symmetry?  what is the angle symmetry of shape?

A: The given figure has 5 vertices and it is a regular shape. So it has rotation symmetry of order 5.

Q: What consequence does the lack of uniqueness of polar coordinates have for graphing? Give an…

A: To find the importance of uniqueness to polar coordinates

Q: What is the corresponding Cartesian coordinates for the polar point (-4,-)? (2√3,-2) (-2√3,-2) O…

A:

Q: 5. Given the point P(-3,). Find 2 other polar coordinate representations of P with r>0 and two with…

A: give that polar co-ordinate so simple use x=r. Cos(theta) and y=r. Sin(theta) To convert in a…

Q: Plot the polar point. (-1, =) 2 4 2 4 4 4. 3. 3. 3. 3.

A: Each quadrant is divided into six equal sectors. This means starting from horizontal axis each line…

Q: What is the center of the polar coordinate grid called?

A: Given a polar coordinate grid.

Q: What is the image equation of the line 2x+y-1=O under the rotation about the point (1, -1) at an…

A:

Q: I must have made a mistake because my polar representation of a given point is not the same as the…

A: Let us consider the statement that“I must have made a mistake because my polar representation of…

Q: Plot uie points with polar coordinates (3, –n) and -6, 3 *) using the pencil. 2 4. 6.

A: The polar co-ordinates are of the form (r,θ)  To plot the polar points it is necessary to find  θ…

Q: Express the polar coordinates (2.) as Cartesian coordinates. (√3,1) (-√3,-1) (√3,-1)

A: Topic = Geometry

Q: Define polar form.

A: According to the question, we have to define the term ''polar form''. In mathematics, the polar…

Q: The polar coordinate system consists of a point, called the _____, and a ray extend-ing out from it,…

A: To determine: The missing word in the sentence, " The polar coordinate system consists of a point,…

Q: Convert the ordered pair in polar coordinates to rectangular coordinates.

A:

Q: What is the rotation that translates AWXY to ΔW 'ΧΎ'?

A: W'X' Side of W'X'Y' triangle is Perpendicular to WX side of WXY Triangle.

Q: 5. Given the point P(-3,). Find 2 other polar coordinate representations of P with r >0 and two with…

A:

Q: Determine whether the statement, "I must have made a mistake because my polar representation of a…

A: The given statement is :   “I must have made a mistake because my polar representation of a given…

Q: Determine whether the statement, "When converting a point from polar coordinates to rectangular…

A:

Q: Transform the polar equation 0 to an equation in a and y. %3D 4

A:

Q: What is the polar equation of the horizontal line y = 5?

A: Given the cartesian equation of horizontal line: y=5

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.