when the axes are retired through an angle a, find the transformation equation of x cosa+y sina = p

Q: ) Write the equation r2+r(sin 0-6 cos 0) = 0 in Cartesian coordinates and identify the corresponding…

A: Solution is given below:

Q: Q3: Find and classify all fixed points and plot the portrait on a circle for the system è = 2 + 2…

A: Given equation is θ.=2+2cosθ. We have to find the fixed points of the given system. Then we will use…

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: The general form of quadratic equation is  Ax2+Bxy+Cy2+Dx+Ey+F=0, B≠0 The angle is  cot2θ=A-CB The…

Q: Find the Cartesian equation of the curve: [2r/r2 = 1+ cos a]

A:

Q: Find a set of parametric equations for the inverse of the function described by: x=t^3-10t+3,…

A: The function is described by: x=t3-10t+3 and y=cos(30t)+810. That is, y=fx. The inverse would be…

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: Definition used -                                Ax2+Bxy+Cy2+Dx+Ey+F=0 , B≠0…

Q: If there is a 60° angle from the positive x-axis to the positive x′-axis, explain how to obtain the…

A:

Q: Determine the transformation used to create triangle PMK. A rotation 90°clockwise B rotation…

A: Rotation:             This turns the  figure clockwise or counter clockwise but doesn't change the…

Q: Figure ABCD is a trapezoid. D a C A B. Which sequence of transformations will carry figure ABCD onto…

A: Draw a line by joining the mid points of DA and BC . Take the reflections of both the sides.

Q: Use CoordinateTransformData to find the Cartesian coordinates of r 2, 0 = 30°, = 15°.Check your…

A:

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A:

Q: A rotation moves a figure around a certain point at a specific angle.

A: False,

Q: 6. Find the image equation of the line -2x + y + 3 = 0 under the rotation about C = (1, 1) at an…

A: The resulting image is perpendicular to the given line.

Q: Find the parametric equation of the line through a = 3 A co which is parallel to b = 2

A:

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: The general form is  The angle is  .

Q: Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.

A: If x and y axis are rotated  through an angle θ , the coordinates (x, y) of a point P relative to…

Q: QUESTION 1 Calculate F.dr if F=(sinx, x'y) and C is the triangle oriented counterclockwise with…

A: Line integral

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: The graphs given below show the various transformations the mountain prop may undergo. Match the…

A: We have to solve the problem

Q: the point c (-3 -1) is rotated 180 degrees clockwise around the orgin. What are the coordinates of…

A:

Q: The linear speed, v, of a point a distance r from the center of rotation is given by v = where w is…

A: v = wr

Q: Figure ABCD is a trapezoid. D а C A B b Which sequence of transformations will carry figure ABCD…

A:

Q: 6. Find the image equation of the line -2x +y + 3 = 0 under the rotation about C = (1, 1) at an…

A:

Q: Pपा+ with a focus at co,-1) 'and directrix y=l

A: Vertex will be the midpoint of y=1 and (0,-1)  That is (0,0) So, (h,k)=(0,0)

Q: Sketch the curve r= cos 20

A: Let us make a table for the given function θ 0 π/4 π/2 3π/4 π 5π/4 3π/2 7π/4 2π r 1 0 -1 0 1 0…

Q: Describe the transformations used in magnification and reduction with respect to the origin. Find…

A: The transformations used in magnification and reduction with respect to the origin represents…

Q: 6. AKLis rotated 90" about the origin and then translated using (x.y)-(x-8.y +5). What are the…

A: When the point (x, y) is rotated 90° about origin then we will get new point (-y, x). We have given…

Q: The figure below is reflected over x-axis and then rotated 180° clockwise. What are the coordinates…

A:

Q: *+ xx + x = 0 has a centre at the origin. %3D

A: Given: x.. +xx.+x3=0

Q: Reflection of ?

A:

Q: Which graph (graph a, b or c in image) is the geometric representation of the vector function rt(sin…

A: Given vector function is: rtsint,t,cost Which is written as: rt=sinti^+tj^+costk^ This clearly…

Q: 6. Find an equation for the sinusoidal graph. y 11.2 11 10.8 1 9.

A: We will find the equation as following.

Q: Identify all lines of symmetry for the figure to the right. If it has rotational symmetry, tell the…

A: Line of Symmetry: A line of symmetry is the line that divides a shape into two identical or same…

Q: the Image tion of theT line 2x ty -1=0 under the rotation about wんat is equati the point (i,!) angle…

A: What is the image equation of the line 2x+y-1=0 under the rotation about the point (1,1) at an angle…

Q: If the original 2-D shape and the reflected image combine to form a new 2-D shape, what is the angle…

A:

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A:

Q: QUESTION 5 Calculate F.dr if F=(sinx,x²y³) and C is the triangle oriented counterclockwise with…

A: Solution is given below

Q: The following figure shows a single-stage gear train. Gear trains are used in many products, such as…

A: Given that ,  n1 = 43 n2= 10 w1= 2. w2 = ? We have ,  w2 = (n1/n2)(w1)

Q: Produce three isoclines with appropriate direction markers, and sketch one solution curve passing…

A: given differential equation is…

Q: Evaluate fe(11 +x³)dx + 76dy where C is the line segment from (0, 1) to (-2, –1) followed by the…

A: We will first break the whole path into two segments and then integrate on both segments.

Q: What is the degree AND direction of rotation that takes AQRS to AQ'R'S'? R

A:

Q: In three-dimensional space, the graph of the equation z = sin(x) is: O a Line O a cylinrical surface…

A: Given,    Z= sin(x)    Sine curve is the curve of the sine function. It is also known as sinusoid.…

Q: Let f1 be reflection with respect to the y-axis and let f2 be counterclockwise rotation through π/2…

A: Given:  f1 be reflection with respect to the y-axis and let f2 be counterclockwise rotation through…

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: y = sin 0–. +2 4

A: To find the transformed graph.

Q: 6. Find the image equation of the line –2x + y + 3 = 0 under the rotation about C = (1, 1) at an…

A:

Q: Interpret the specific rotation that turns AABK in to AA'B'K'. Show your work and explain the steps…

A: ∆ABK transformed into ∆A'B'K'

Q: What is the image of (-2,2) under the rotation about the origin at an angle e=180°? O (2,-2) (-2,2)…

A: Given that