let the polar coordinates of the point (x,y) be (r, theta). Determine the polar coordinates for...
let the polar coordinates of the point (x,y) be (r, theta). Determine the polar coordinates for the points a. (-x,y), b. (-2x,-2y), and c. (3x,-3y). I am not sure why the answer for a. is 180 degress - theta, for b. it's 180 degrees + theta, and for c it's just - theta. If you can break down that part for me that would be great.
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let the polar coordinates of the point (x,y) be (r, theta).
Determine the polar coordinates for...
The polar coordinates of a certain point are (r = 3.50 cm, θ = 211°). The...
The polar coordinates of a certain point are (r = 3.50
cm, θ = 211°).
The polar coordinates of a certain point are (r = 3.50 cm, e = 211°). (a) Find its Cartesian coordinates x and y. x = -3.04 cm y = -1.8 cm (b) Find the polar coordinates of the points with Cartesian coordinates (-x, y). r = 3.53 cm e = -1.69 Your response differs significantly from the correct answer. Rework your solution from the beginning...
1. Convert the following (x,y) Cartesian coordinates to (r, theta) polar coordinates (record theta first in...
1. Convert the following (x,y) Cartesian coordinates to (r, theta) polar coordinates (record theta first in degrees and then radians): a) (12,5) [m] b)(-6.3,2.2) [m] 2. Convert the polar coordinates (13, 5.888) [m, rad] to Cartesian. 3. Find the angular momentum of a 2kg ball relative to the origin if the ball is mivung 3 m/s, 20° north of east the instant it is at (2, -3) [m] in relation to the origin. Sketch all of your vectors and show...
Set up and evaluate the double integral using polar coordinates f(x,y) = 8-y; R is the...
Set up and evaluate the double integral using polar coordinates f(x,y) = 8-y; R is the region enclosed by the circles with polar equations r=cos(theta) and r=3cos(theta). I am struggling with understanding how to determine the interval for theta. The answer key says 0<= theta <= pi but I don't understand why. Please elaborate on this when solving.
1. in Matlab, write a user-defined function, with two input (r,theta) , θ expressed in degrees)...
1. in Matlab, write a user-defined function, with two input (r,theta) , θ expressed in degrees) and two output arguments (X,Y). The inputs are a location on a polar coordinates corresponding to Cartesian plane expressed in rectangular coordinates. The picture below describes the problem. X, Y rcos θ Some formula that you may need: x = r * cos (theta * pi/180); y r * sin(theta * pi/180); Test your code for r=7, theta=55° and present your results.
7. Evaluate the following integral by converting to polar coordinates: S], 127 (2x – y)dA, where...
7. Evaluate the following integral by converting to polar coordinates: S], 127 (2x – y)dA, where R is the region in the first quadrant enclosed by the circle x2 + y2 = 4 and the lines x = 0 and y = x. 8. Find the surface area of the portion of the plane 3x + 2y +z = 6 that lies in the first octant. 9. Use Lagrange multipliers to maximize and minimize f(x, y) = 3x + y...
(2) Let x-r cos θ, y-r sin θ represent the polar coordinates function f(r, θ) : R. R2, Compute f,...
(2) Let x-r cos θ, y-r sin θ represent the polar coordinates function f(r, θ) : R. R2, Compute f, (r$) and f, ( ompute * T
(2) Let x-r cos θ, y-r sin θ represent the polar coordinates function f(r, θ) : R. R2, Compute f, (r$) and f, ( ompute * T
1. (5 pts.) TRue or FALse: (a) Let R denote a plane region, and (u,u) = (u(x,y), u(x,y)) be a dif...
1. (5 pts.) TRue or FALse: (a) Let R denote a plane region, and (u,u) = (u(x,y), u(x,y)) be a different set of l (b) Let R denote a plane region, and (u, v) - (u(x, y), v(x, y)) be a different set of coordinates for the Cartesian plane. Then for any function F(u, v F(u, u)dudu- F(u(x,y),o(x,y))dxdy coordinates for the Cartesian plane. Then (c) Let R denote a square of sidelength 2 defined by the inequalities |x-1, lul (3y,...
1. (5 pts.) True oR FALSE: (a) Let R denote a plane region, and (u, v) - (u(x, y), v(x, y)) be a ...
1. (5 pts.) True oR FALSE: (a) Let R denote a plane region, and (u, v) - (u(x, y), v(x, y)) be a different set of coordinates for the Cartesian plane. Then for any function F(u, v) F(u, v)dudv-F(u(x, y), v(x, y))drdy (b) Let R denote a plane region, and (u,v) (u(x,y),o(x,y)) be a different set of coordinates for the Cartesian plane. Then dudv (c) Let R denote a square of sidelength 2 defined by the inequalities r S1, ly...
f(x,y)= x^4 + 2x^2 y^2 + y^4 Double integral D= (r, theta) 3<=r <= 4 pi...
f(x,y)= x^4 + 2x^2 y^2 + y^4 Double integral D= (r, theta) 3<=r <= 4 pi / 3 <= theta <= pi Evaluate double integral over polar rectangular region 3367 pi / 18 is final answer
(a) use polar Coordinates to evaluate cu Saty? dA, R is bounded by the Semicircle y...
(a) use polar Coordinates to evaluate cu Saty? dA, R is bounded by the Semicircle y = /2x - 7² and the line y=x.
The polar coordinates of a certain point are (r = 3.50
cm, θ = 211°).
The polar coordinates of a certain point are (r = 3.50 cm, e = 211°). (a) Find its Cartesian coordinates x and y. x = -3.04 cm y = -1.8 cm (b) Find the polar coordinates of the points with Cartesian coordinates (-x, y). r = 3.53 cm e = -1.69 Your response differs significantly from the correct answer. Rework your solution from the beginning...
1. in Matlab, write a user-defined function, with two input (r,theta) , θ expressed in degrees) and two output arguments (X,Y). The inputs are a location on a polar coordinates corresponding to Cartesian plane expressed in rectangular coordinates. The picture below describes the problem. X, Y rcos θ Some formula that you may need: x = r * cos (theta * pi/180); y r * sin(theta * pi/180); Test your code for r=7, theta=55° and present your results.
7. Evaluate the following integral by converting to polar coordinates: S], 127 (2x – y)dA, where R is the region in the first quadrant enclosed by the circle x2 + y2 = 4 and the lines x = 0 and y = x. 8. Find the surface area of the portion of the plane 3x + 2y +z = 6 that lies in the first octant. 9. Use Lagrange multipliers to maximize and minimize f(x, y) = 3x + y...
(2) Let x-r cos θ, y-r sin θ represent the polar coordinates function f(r, θ) : R. R2, Compute f, (r$) and f, ( ompute * T
(2) Let x-r cos θ, y-r sin θ represent the polar coordinates function f(r, θ) : R. R2, Compute f, (r$) and f, ( ompute * T
1. (5 pts.) TRue or FALse: (a) Let R denote a plane region, and (u,u) = (u(x,y), u(x,y)) be a different set of l (b) Let R denote a plane region, and (u, v) - (u(x, y), v(x, y)) be a different set of coordinates for the Cartesian plane. Then for any function F(u, v F(u, u)dudu- F(u(x,y),o(x,y))dxdy coordinates for the Cartesian plane. Then (c) Let R denote a square of sidelength 2 defined by the inequalities |x-1, lul (3y,...
1. (5 pts.) True oR FALSE: (a) Let R denote a plane region, and (u, v) - (u(x, y), v(x, y)) be a different set of coordinates for the Cartesian plane. Then for any function F(u, v) F(u, v)dudv-F(u(x, y), v(x, y))drdy (b) Let R denote a plane region, and (u,v) (u(x,y),o(x,y)) be a different set of coordinates for the Cartesian plane. Then dudv (c) Let R denote a square of sidelength 2 defined by the inequalities r S1, ly...
(a) use polar Coordinates to evaluate cu Saty? dA, R is bounded by the Semicircle y = /2x - 7² and the line y=x.
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