Rotate the xy-axes in the plane counterclockwise through an angle θ= 135° to obtain new x' y' -axes. Use the methods of this section to find (a) the x' y'-coordinates of the point whose xy-coordinates are (3, 2) and (b) the xy-coordinates of the point whose x'y' -coordinates are (4, -4)

Rotate the xy-axes in the plane counterclockwise through an angle θ= 135° to obtain new x' y' -axes. Use the methods of this section to find (a) the x' y'-coordinates of the point whose xy-coordinates are (3, 2) and (b) the xy-coordinates of the point whose x'y' -coordinates are (4, -4)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

See similar textbooks

Related questions

Q: Find parametric equations for the normal line to the surfacez=-7x2 -9y2 at the point (2,1,-37)

Q: 2)Passes point (1,3,7) and orthogonal to xy- plane.

A: The line which is orthogonal to x-y plane is lies on z-axis. Therefore the direction ratio's of the…

Q: find a parametrization for the curve. the line segment with endpoints (-1, 3) and (3, -2)

Q: 2. The plane containing the point (-8, 3, 7) and parallel to the plane given by 4x+8y-2z=45.

Q: Find parametric equations and a parameter interval for the motion of a particle that starts at the…

Q: 6. Determine the distance from the point (2, -1, 5) to the plane 3x - 3y + 5z = 8.

Q: An angle with its vertex at the origin of an xy-coordinate plane and with initial side on the…

A: We know, An angle with its vertex at the origin of an x-y-coordinate plane and with initial side on…

Q: 1. A line, passing through point (6, 3, 2) and is perpendicular to the yz-plane. Find a point on th

A: We have to find point.

Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, - 1, 2) is parallel | to the line x=…

A: Given that points are (2,1,-1), (0,-2,0) and (1,-1,2) The parametric equation is,…

Q: find the distance between point (-1,1,3) and the plane 5x-5y+3z=25

Q: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2) , the robot turns 90°…

A: The robot begins moving at (2,1) and reaches at (5, 2) taking a linear path. So, the equation of a…

Q: Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P=…

A: NOTE: Refresh your page if you can't see any equations. . the function f is

Q: Find the distance from the point (3, -4, 2) to the a. xy-plane b. yz-plane c.xz-plane.

A: a) Distance of (3, -4, 2) from xy plane:On xy plane , z=0. So, This point is 2 units away from the…

Q: Find a parametrization of the curve. The vertical line passing through the point (3, 2, 0)

A: Consider the given point 3 , 2 , 0

Q: Find the shortest distance from the point (1, 5, -5) to the plane 2x + 9y - 3z = 6, using two…

A: Given point is 1,5,-5 and plane is 2x+9y-3z=6

Q: A particle moves in space along a path whose parametric equations are given by x1 = b sin(wt), x2 =…

Q: You need to guide a robot from the red dot on the left to the green dot on the right, avoiding the…

A: The solution is as below

Q: Find the distance between the point (-1,–1,2) and the plane 2.x+5y-6z =4

Q: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2), the robot turns 90°…

A: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2), the robot turns 90°…

Q: The diagram shows a small block B, of mass 0.2kg, and a particle P, of mass 0.5kg, which are…

Q: A robot begins moving on a linear path at (2,1). When it reaches (5,2), the robot turns 90°…

A: Linear equation

Q: The plane through the points (2, 1, –1), (0, –2, 0), and (1, – 1, 2) is parallel to the line x=1-t,…

A: Equation of plane passing through x1, y1, x2, y2, x3, y3 is given by,…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

Q: find a parametrization for the curve. the ray (half line) with initial point (2, 3) that passes…

Q: A line segment bounded by two points (0,0,0) and (2,2,0) is rotated about the y-axis by 270 degrees.…

A: We will first parametrize the line as a function of t , then with the help of rotation (u) matrix we…

Q: Find the distance between the point (0,0, 8) and the plane given by 2x – y + 2z – 1 = 0.

Q: A robot begins moving on a linear path at (2, 1). When it reaches (5, 2), the robot turns 90°…

A: We have to find the y-coordinate.

Q: Find the tangent plane to the equation z = 3x? – – 60) - y² – 4y at the point (4, 2, - -

Q: A robot begins moving on a linear path at (2,1). When it reaches (5,2), the robot turns 90°…

A: This is a problem related to linear coordinates. based on the diagram shown in solution we will…

Q: 1. (x² + y² +z²)®/2: cylindrical, spherical, or Cartesian? List the conversion factors needed to…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A: The given equation of circle at (a,0) is The general parametric equation of circle is where x,y…

Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…

Q: Li Syaoran is riding an airplane which departs from an airport located at (360, 0) miles in the…

A: The westward speed of the airplane = 480 miles/ hour The northward speed of the airplane = 120…

Q: Find the tangent plane to surface 8x2 + y2 + 4z2 = 25 at the point ( 1, -1, 2 )

Q: Find parametric equations for the path of a particle that moves along the curve y=x from (1, 1) to…

A: Given Parabola is y = x²

Q: What is the equation of family of central conics with common foci and axis. Determine its orthogonal…

Q: Find parametric equations for the line pass- ng through the point P(1, –1, 3) and perpen- licular to…

A: Given that: Line is passing through P(1,-1,3) and perpendicular to the plane: 4x+3y-2z=6.

Q: The line through the point (1, 0, 6) and perpendicular to the plane a + 3y + z = 5

Q: Find the distance between (1,-2, - 1)and the plane through the points (1, 2, 3)and (3 , 2, 1)and…

A: Given information: The plane passes through the points (1, 2, 3) and (3 , 2, 1) and perpendicular to…

Q: Find an equation of the tangent plane to the surface at the given point. 5x2 + 2y2 + 5z2 = 73, P…

Q: 4) Find the distance from the point (1, 2, – 1) to the plane 2x+y- 2z = 1.

Q: 4. Determine the equation of the plane passing through the point (1, –4, 3) and parallel to x – y…

Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, -1, 2) is parallel to the line x 1-t,…

A: equation of plane for non collinear points , x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1 we will use…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

Q: A long suspension bridge 180 meters from end,has towers 60 meters tall,where suspension cables are…

A: Given : from the data given above the graph of the parabola is:

Q: Find an equation of the plane. The plane through the point (7, –2, –8) and parallel to the plane 6x…

A: We will solve the following.

Q: A suspension bridge with weight uniformily distributed along its length has twin towers that extend…

Q: find the frenet apparatus of curve 3u-u3 , 3u2 , 3u+u3 and Find equations of tangent, normal and…

A: Given that 3u-u3,3u2,3u+u3 The fernet apparatus of the curve is, dTdu=kNdNdu=τB-kTdBdu=-τN Where T,…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Reflections$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

An angle with its vertex at the origin of an xy-coordinate plane and with initial side on the positive x-axis is in position_________
Find a parametrization of the curve. The vertical line passing through the point (3, 2, 0)
Find parametric equations of the line through the point (5, 0,−2) that is parallel to the planes x −4y + 2z = 0and 2x + 3y −z +1 = 0.
Use partial derivatives to find the coordinates which give the shortest distance from the point (2,0,0) to the plane 3x+2y-z=2. Confirm that the point is the shortest distance with use of second derivatives
A particle is traveling along a circular path defined by x^2 + y^2 = 4, where x and y are measured in centimeters. If the particle starts at the point (2,0) and moves in a counter-clockwise direction at a speed of 6cm/sec, what will be the coordinate for the particle's position after 10 seconds? (show detailed diagrams with explainations)
A baseball is hit from a height of 3.5 feet above the ground with an initial speed of a 110 feet per second and at the angle of 45ﾟ above the horizontal.( Assume the model of projectile motion with no air resistance and g=32 feet per second) (a) find the max height reached by the baseball (b)determin whether it will clear an 8 foot high fence located 375 feet from home plate
Find all points in the xy-plane with integer coordinates located at adistance 5 from the origin. Then find all points with integer coordinateslocated at a distance 5 from (2, 3).
Find the coordinates of the point (x, y, z) on the plane z = 3 x + 3 y + 3 which is closest to the origin. x=-----y=------z=-----
The diagram shows a small block B, of mass 0.2kg, and a particle P, of mass 0.5kg, which are attached to the ends of a light inextensible string. The string is taut and passes over a small smooth pulley fixed at the intersection of a horizontal surface and an inclined plane.The block can move on the horizontal surface, which is rough. The particle can move on the inclined plane, which is smooth and which makes an angle of θ with the horizontal where tanθ = 3/4The system is released from rest. In the first 0.4 seconds of the motion P moves 0.3m downthe plane and B does not reach the pulley.(a) Find the tension in the string during the first 0.4 seconds of the motion.(b) Calculate the coefficient of friction between B and the horizontal surface.
A long suspension bridge 180 meters from end,has towers 60 meters tall,where suspension cables are attached at the top of each tower.The cable from a parabolic curve and the lowest point of the cable is 15 meters from the surface of the bridge. Which set of information is true to the scenario described?
find the frenet apparatus of curve 3u-u3 , 3u2 , 3u+u3 and Find equations of tangent, normal and binormal lines of this curve at the point 1 .
find parametric equations to the tangent line of the curve given by the vector function at point (10, 2, 33)