# How do I use polar coordinates to prove that the limit of the function f(x,y)=(2xy)/(x^2 +y^2) doesn't exist as it approaches (0,0)?

25,699 results-
## Calculus

The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point? Please help. Thanks in advance. We have x2=2xy - 3y2 = 0 Are there supposed to be 2 equal signs in this expression or is it x2 + 2xy - 3y2 = 0 ? I'll

*asked by Jen on October 15, 2006* -
## calc 3

Use polar coordinates to find the limit. [If (r, θ) are polar coordinates of the point (x, y) with r ≥ 0, note that r → 0+ as (x, y) → (0, 0).] (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) [(3e^−x^2− y^2) − 3]/ (x^2 + y^2)

*asked by Becky on September 17, 2012* -
## Calculus

How do I use polar coordinates to prove that the limit of the function f(x,y)=(2xy)/(x^2 +y^2) doesn't exist as it approaches (0,0)?

*asked by C on June 29, 2020* -
## ALGEBRA

wo quadratic functions are shown. Function 1: f(x) = 4x2 + 8x + 1 Function 2: x -2 -1 0 1 g(x) 2 0 2 8 Which function has the least minimum value and what are its coordinates? Function 1 has the least minimum value and its coordinates are (−1, −3).

*asked by nessa on November 11, 2015* -
## CHEMISTRY

Determine if it is polar or non-polar molecule: C3H6O C2H5OH SiCl4 NH3 CO2 C3H8 H2O N2 My ans are: Polar Polar Polar Nonpolar polar Nonpolar are my answers correct????

*asked by nidscorection on March 5, 2013* -
## Calculus

Hi! My question is: Given that f is a function defined by f(x) = (2x - 2) / (x^2 +x - 2) a) For what values of x is f(x) discontinuous? b) At each point of discontinuity found in part a, determine whether f(x) has a limit and, if so give the value of the

*asked by Hillary on September 24, 2009* -
## pre-calc help

Convert the rectangular coordinates to polar coordinates with r > 0 and 0 ≤ θ < 2π. (9, −9) (r, θ) = ?

*asked by Anonymous on November 27, 2013* -
## Calc

Find the cartesian coordinates of the following points given in polar coordinates. b. (2 rt2, 3pi/4) I cant figure this one out

*asked by Jessica on March 26, 2008* -
## Math

Let the polar coordinates of the point (x, y) be (r, θ). Determine the polar coordinates for the point (2x, y)

*asked by Nick on March 17, 2020* -
## Trig (math)

1.) Find all solutions of the equation. Leave answers in trigonometric form. x^2 + 1 - sqrt3i = 0 2.) Give the rectangular coordinates for the point. (9, 2pi/3) 3.) The rectangular coordinates of a point are given. Express the point in polar coordinates

*asked by Anonymous on December 8, 2014* -
## Precalculus

Every point in the plane has exactly two polar coordinates. A)The statement is true because every point in the plane has a unique polar representation. B)The statement is false because left parenthesis r comma theta right parenthesis equals left

*asked by Brian on January 12, 2017* -
## Math

Convert the polar coordinates (-83,23°) into rectangular coordinates. Round the trigonometric values and the rectangular coordinates to the nearest hundredth.

*asked by Trish Una on June 13, 2019* -
## Trig

Convert 2xy = 1 to polar form.

*asked by Lost One on April 22, 2013* -
## trig

convert the point with polar coordinates (2,7pi/6) into rectangular coordinates.

*asked by casey on April 19, 2011* -
## Write in (x , y) Form

The letters r and theta represent polar coordinates. Write each equation in rectangular coordinates (x, y) form. (1) r = 4 (2) r = 3/(3 - cos(t)), where t = theta

*asked by sharkman on February 23, 2008* -
## Precal

The point (r,theta) in polar coordinates is (7,5) in rectangular coordinates. What is the point (2r, theta + pi/2) in rectangular coordinates? So I tried this problem and got r = sqrt(74). But while finding the value of theta, I got it equal to cot(5/7)

*asked by Dave on August 9, 2014* -
## math

The polar coordinates of a point P are (2,240 degrees). The Cartesian (rectangular) coordinates of P are

*asked by Anonymous on June 13, 2013* -
## Math

The letters r and θ represent polar coordinates. Write the following equation using rectangular coordinates (x, y). r=1+sinθ I chose: x²+y²=√(x²+y²+y) (I am not completely sure about this)

*asked by Jolyne Kujo on March 20, 2019* -
## TRIGONOMETRY

3. The rectangular coordinates of a point are given. Find the polar coordinates of each point. b. (0,3) I figured out a, but I canNOT figure out b. Can someone please explain? :)I need to know how to do this for my final next week.

*asked by Kate on May 16, 2013* -
## Pre-Calc

Can anyone direct me to learn more about polar coordinates. I'm in online college course and really am confused. In high school, I never heard of polar coordinates. Like they say is the following the graph of point (3,15) and show it on polar grid-I don't

*asked by Thomas on September 24, 2011* -
## Calculus

lim (x^3-1)/(x^3+2x^2y+xy^2-x^2-2xy-y^2) (x,y)->(1,0) alright i approached this at y=0. and got the limit as 3. where else can i approach this from to see if the limit really exist which im hoping it doesn't. i tried y=x-1 and that was a mess and i also

*asked by Bryant on February 28, 2012* -
## calculus

Q.NO.3: Show that the function z=tan^-1(2xy/x^2-y^2)satisfies Laplace’s equation; then make the substitution x=r cosθ, y= r sinθ and show that the resulting function of satisfies the polar form of laplace’s equation

*asked by akash on May 12, 2017* -
## math

A woman walks 200 yards west along a straight shoreline and then swims 50 yards north into the ocean on a line that is perpendicular to the shoreline. Using her starting point as the pole and the east direction as the polar axis, give her current position

*asked by Anonymous on January 5, 2015* -
## calculus help please

hi what is lim as x reaches one of the function x/LN(x) is it one or does the limit it not exist. hi what is limit as x reaches one of the function x/LN(x) is it one or does the limit it not exist. Have you tried graphing it? That will tell you if the

*asked by Anonymous on December 2, 2006* -
## calculus

lim (x^3-1)/(x^3+2x^2y+xy^2-x^2-2xy-y^2) (x,y)->(1,0) my question is can you approach (1,0) with y=x and does that change the the limit to lim f(x,x) (x,x)->(1,1) in which case i get 3/4 as the limit. and if this is not how i go about doing it can you

*asked by Bryant on February 28, 2012* -
## PreCal

A surveyor records the polar coordinates of the location of a landmark as (40, 62°). What are the rectangular coordinates? Round each coordinate to the nearest hundredth.

*asked by Jack on September 3, 2011* -
## Math

Convert the rectangular coordinates into polar coordinates (-5,-5sqrt3)

*asked by Narancia Ghirga on June 12, 2019* -
## Precalculus

The letters r and è represent polar coordinates. Write the equation using rectangular coordinates (x,y). r=1+2sinè I know that I have to use something along the lines of x=rcosè and y=rsinè, but I'm stuck when I try to figure it out. Can someone help?

*asked by Alex on June 15, 2011* -
## Calc

Find the mass of the triangular region with vertices (0, 0), (2, 0), and (0, 1), with density function p( x, y ) = x^2 + y^2. Im having trouble setting up this integral. This is what i came up with: 2 -.5x+1 S S (x^2 + y^2) dydx 0 0 Not sure if that's

*asked by Michael on November 6, 2007* -
## trig

The rectangular coordinates of a point are given (-5,-5root3). Find polar coordinates of the point. Express theta in radians.

*asked by Asfand on November 28, 2016* -
## Chem

Is a C-H bond polar or non-polar? Is a C-Cl bond polar or non-polar? I have different sources giving me different ranges. One says that anything with an electronegetivity of 0.5 or less is non-polar and I have anothre source saying anything 0.3 and less is

*asked by Lena on July 8, 2009* -
## Calculus

1. Evaluate the function at the given numbers (correct to six decimals places). Use the results to guess the value of the limit,or explain why it does not exist. F(t)=( t^(1/3) - 1)/(t^(1/2) - 1) ; t= 1.5,1.2,1.1,1.01,1.001; The limit of F(t) as t

*asked by Anonymous on September 26, 2014* -
## Maths - Polar Coordinate Systems

I've received an assignment to investigate the polar coordinate system compared to the cartesian one. Theres a question that asks you to investigate into how to convert polar coordinates into cartesian. From my text book, I know in Polar coordinates, that

*asked by BM on October 25, 2008* -
## Math Graph

In polar coordinates, the graph r=sin(θ)/cos^2(θ) represents the function y=(a_n)*x^n+(a_(n−1))*x^(n−1)+…+a_0 in Cartesian coordinates, where n is a positive integer and (a_i) are real numbers. What is the value of n?

*asked by Crow on June 21, 2013* -
## Calculus

How do we diffentiate in between when to use spherical polar coordinates and cylindrical polar coordinates for a transformation in a vector calculus question(line integral, stokes theorem etc.)

*asked by Aryaa on November 23, 2019* -
## mathematics

Show that the limit does not exist for the function Lim (x,y)➡(1,-2): (4x^3y^2 - 2xy^5+ 7y-1)/ ( 3y-y^4 + 3x^3)

*asked by sikangele on June 27, 2014* -
## limit from graph

How do I know if the limit of a function exists or not from that function's graph. Thanks. It the graph of a function becomes straighter at + and -infinity, it means that the function behaves linearly in the limit. However there may be other types of

*asked by Jen on December 8, 2006* -
## Math

Given any Cartesian coordinates, (x,y), there are polar coordinates (r, theta) with -pi/2 < theta

*asked by Kid on September 26, 2019* -
## Pre-calculus; urgent ! Please help !

1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write the equation –2x + 6y =

*asked by Becca on February 26, 2013* -
## Calculus please help !

1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write the equation –2x + 6y =

*asked by Becca on February 26, 2013* -
## Math ! Please Help !

1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write the equation –2x + 6y =

*asked by Becca on February 26, 2013* -
## MATH

(a) Transform the expression (x − a)^2 + y^2 = a^2 into polar coordinates. (b) Sketch the region R bounded by the curve given in part (a). (c) Use a double integral in polar coordinates to ﬁnd the area of the region R.

*asked by help please on October 26, 2013* -
## Trigonometry

1)Find the polar coordinates of the point whose rectangular coordinates are (4, -4). 2)Find the polar coordinates of the point whose rectangular coordinates are (-3,-3). 3)Find the rectangular coordinates of the point whose polar coordinates are (-4, ð/6)

*asked by Theresa on July 4, 2007* -
## Mathematics

How do you find the coordinates of the stationary points to this implicit differentiation equation? x^2y = y^2 + 2x 2xy + x^2yy' = 2yy' + 2 y'(x^2y-2y) = 2-2xy y' = 2(1-xy) ------------- y(x^2-2)

*asked by James on February 25, 2016* -
## trig

Given the polar coordinates of a point, how do I find the rectangular coordinates? (2, 3pi/4) (-4, 7pi/6) (2/3, -2pi/3) Given the rectangular coordinates of a point, how do I find the polar coordinates? (4, 0) (3, 4) (2, -2)

*asked by BT on March 1, 2010* -
## pre calc.Math

Please help me any one of these please! Thank You to any one r=2-6 cos(θ) convert this polar coordinate equation into an equation in rectangular coordinates(x,y) given (-8,8) convert this point into polar coordinates with 6 >= 0 and 0

*asked by Ann on July 12, 2011* -
## Calculus (lim)

consider the statement lim x³-6x²+11x-6 / x-1 = 2 x->1 Using the definition of the limit, state what must be true for the above limit to hold, that is, for every ..., there is ..., so that.... Use a specific function and limit not just f and L. Verify

*asked by Tommy feels dumb on May 7, 2014* -
## MATH

I have a test in about an hour and a half and am having some difficulty on the review the teacher gave us to help us prepare. Any help would be great! *Convert the polar equation to a rectangular equation. rsin(theta - Pi/4) =5 -The answer is given as y=

*asked by Daisy on April 4, 2013* -
## Calculus

HELP....last question SOS HELP Consider the statement lim X-->1 X©ø-6X©÷+11X-6 / x-1 = 2 USING THE DEFINITIONS OF THE LIMIT STATE WHAT MUST BE TRUE FOR THE ABOVE LIMIT TO HOLD, THAT IS, FOR EVERY ¡¦, THERE IS ..., SO THAT¡¦. Use a specific function

*asked by Ellen D on May 7, 2014* -
## Calculus

limit of (x*(y-1)^2*cosx)/(x^2+2(y-1)^2) as (x,y)->(0,1). By evaluating along different paths this limit often goes to 0. This does not necessarily imply that it exists. So how would i prove that it exists. Can someone please show me how i can prove using

*asked by Jim on April 10, 2016* -
## Calculus

What methods can I use to prove that the limit as (x,y,z)--> (0,0,0) of a function of 3 variables does not exist?

*asked by Shaniquaa on December 4, 2008* -
## Calculus

How do I take the x-partial derivative of -5e^(-x^2 -y^2)(-2x^2 +2xy+1) fx= These is what I have tried: fx= [-5e^(-x^2 -y^2)(-4x +2y)] +[(-2x^2 +2xy+1)-5e^(-x^2 -y^2)*-2x] -fx= [-5e^(-x^2 -y^2)(-4x +2y)] +[(-2x^2 +2xy+1)10xe^(-x^2 -y^2)] -fx= [-5(-4x

*asked by #1 on December 31, 2019* -
## trig

Convert the rectangular coordinates to polar coordinates, using radian measure for the angle. (6, -6) 6√(2),7π/4 OR -6√(2),5π/4

*asked by tony on June 28, 2013* -
## Calculus

Consider a plane curve which is described in polar coordinates (r, @) by r = g(@) for @ for all [a,b] (@ representing theta). Starting from the known expression for the length of a plane curve in Cartesian coordinates and the equation x = rcos@, y = rsin@,

*asked by mark on September 22, 2008* -
## calculus

Consider a plane curve which is described in polar coordinates (r, @) by r = g(@) for @ for all [a,b] (@ representing theta). Starting from the known expression for the length of a plane curve in Cartesian coordinates and the equation x = rcos@, y = rsin@,

*asked by mark on September 22, 2008* -
## calculus

Consider a plane curve which is described in polar coordinates (r, @) by r = g(@) for @ for all [a,b] (@ representing theta). Starting from the known expression for the length of a plane curve in Cartesian coordinates and the equation x = rcos@, y = rsin@,

*asked by mark on September 21, 2008* -
## chemistry

Determine if it is polar or non-polar molecule: C3H6O C2H5OH SiCl4 NH3 CO2 C3H8 H2O N2 My ans are: Polar Polar Polar polar Nonpolar nonpolar polar Nonpolar are my answers correct???? No one has answered this question yet.

*asked by nadira on March 5, 2013* -
## math

The rectangular coordinates of the point P are (-1,sqrt 3). If P is reflected witg respect to the x-axis, then the polar coordinates of its image are¡??

*asked by Mily on April 30, 2014* -
## trig

How do you convert polar coordinates to Cartesian coordinates? And vise versa.

*asked by dan on March 19, 2010* -
## Pre-Calculus

Find the rectangular coordinates of the point with the given polar coordinates. (3, 150°)

*asked by Alexis on March 13, 2014* -
## Pre-Calculus

Find the polar coordinates of each point with the given rectangular coordinates. Use degrees. (-4,-3)

*asked by Alexis on March 13, 2014* -
## math

How do you convert polar coordinates to Cartesian coordinates? And vise versa.

*asked by dan on March 19, 2010* -
## Physics

If the rectangular coordinates of a point are given by (4,y), and its polar coordinates are (r,25 degrees), determine y and r.

*asked by Nakalema on September 13, 2009* -
## CHEMISTRY

Determine if it is polar or non-polar molecule: C3H6O C2H5OH SiCl4 NH3 CO2 C3H8 H2O N2 My ans are: Polar Polar Polar polar Nonpolar nonpolar polar Nonpolar are my answers correct????

*asked by nidscorection on March 5, 2013* -
## Math

Convert ( 4, -pi/6) from polar coordinates to rectangular coordinates. I got sqrt 12, -2 as my answer but it said this was wrong. I checked multiple times and I don't see where I messed up

*asked by Joe on August 5, 2016* -
## science

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is

*asked by raja harishchandra on June 14, 2013* -
## physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is

*asked by raja harishchandra on June 13, 2013* -
## physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system for the plane is

*asked by anonymous on June 14, 2013* -
## science

*asked by Abhishek on June 13, 2013* -
## physics

*asked by Anonymous on June 13, 2013* -
## physics

*asked by raja harishchandra on June 13, 2013* -
## physics

*asked by rishabh on June 10, 2013* -
## physics

*asked by raja harishchandra on June 11, 2013* -
## physics

*asked by Anonymous on June 14, 2013* -
## physics

*asked by raja harishchandra on June 12, 2013* -
## bio (plasma membrane)

I understand that the plasma membrane is composed of a polar head and non polar tail. I read in my textbook that small non-polar molecules readily pass through and that polar and non-polar repel. so how do non-polar substance pass the the polar head?

*asked by lou on February 19, 2011* -
## pre-cal

Use Pascal's triangle to expand the expression. (x − y)5 so I tried to work this out: (x-y)^5 = [(x-y)(x-y)][(x-y)(x-y)](x-y) (x-y)^2 = (x-y)(x-y) = x^2 - 2xy + y^2 x^2 - 2xy + y^2)(x^2 - 2xy + y^2) = x^4 -4x^3y + 6x^2y^2 - 4xy^3 + y^4 I am still

*asked by James on August 12, 2015* -
## Algebra

Simplify (2xy^2+3)((2xy^2)^2-(2xy^2)(3)+(3)^2) This reminds me of (U+a)(U^2- aU + a^2). When mulipltiplied out, one gets a cubic equation. Do you remember the formula for factoring the sum of two cubes? a^3+b^3= ????

*asked by Juri on August 9, 2007* -
## Calculus

How can I convert polar coordinates to rectangular coordinates?

*asked by Josh on July 29, 2011* -
## pre-calc help

Convert the rectangular coordinates to polar coordinates with r > 0 and 0 ≤ θ < 2π. (9, −9) (r, θ) = ?

*asked by Kate on November 27, 2013* -
## precal

convert from rectangular coordinates to polar coordinates x=y

*asked by Anonymous on May 31, 2015* -
## calculus

for what value of r=4sinè have vertical tangent? In polar coordinates? Theta=90 deg is vertical. I do not know if you know how to differentiate polar coordinate equations so I changed your equation from polar to rectangular form, I don't know if that is

*asked by mary on April 26, 2007* -
## Math (Calculus)

Given any Cartesian coordinates, (x,y), there are polar coordinates (r,theta) with –pi/2< theta < pi/2. Find polar coordinates with –pi/2 < theta < pi/2 for the following Cartesian coordinate: If (x,y) = (11,–7) then (r, theta)=( ____, _____ ) I was

*asked by Amy on June 2, 2011* -
## calculus

The equation x^2 y+2xy^3=8defines y as a function of x,y=f(x), near x=2, y=1. a) Find dy/dx. b) Now, find the slope of the curve x^2y+2xy^3=8 when x=2, y=1.

*asked by ibo on September 29, 2010* -
## maths help sir steve

sir steve what about these i just solved it now i didnt get it if x^2+2xy+3y^2=1 prove that (x+3y)^3d^2y/dx^2+2(x^2+2xy+3y^2)=0 i solve with implicit derivative like these 2x+2(xdy/dx+y)+6ydy/dx=0 2x+2xdy/dx+2y+6ydy/dx=0 2xdy/dx+6ydy/dx=-2y-2x

*asked by practising and need help on November 12, 2016* -
## Trig

Find three additional polar representation of the point (-3, pie over 6) given in polar coordinates,using -2 pie

*asked by Sasha on May 20, 2010* -
## calculus

A) How do you prove that if 0(

*asked by Sarita on April 1, 2010* -
## calculus

A) How do you prove that if 0(

*asked by Sarita on April 3, 2010* -
## Calculus

A) How do you prove that if 0(

*asked by Sarita on April 2, 2010* -
## math

the limit of cuberoot((-3x^3+5x+2)/(x^2-1)) as x approaches 3 is the problem. how could (-3x^3+5x+2) so it would be factored out with denominator? thanks! If you read the answer I gave for the previous question, then you can take the limit inside to get

*asked by . on September 3, 2006* -
## Math

Suppose line GH is congruent to line JK, line HE is congruent to line KL, and angle 1 is congruent to angle L. Can you prove that triangle GHI is congrunet to triangke JKL, abd if so, how? A. You can use SAS to prove the triangles are congruent. B. You can

*asked by Bettey on October 8, 2018* -
## trig

The rectangular coordinates of a point are given (0,-6). Find polar coordinates of the point such that r greater than 0 and 0 less than or equals theta less than 2pi. how to solve this damon please help me

*asked by Asfand on November 28, 2016* -
## Math

A point in polar coordinates is given, Find the corresponding rectangular coordinates for the point. (r,Q) = (4, 3pi/2) I know that you are suppose to use x=r cos Q and y=sin Q but I do not know how to plug this in.

*asked by Abbey(Please help) on April 17, 2010* -
## pre calculus

in the equation (x-4)^2+y^2=16 the letters x and y represent rectangular coordinates. Write the equivalent equation using polar coordinates. solve for r

*asked by Meredith on December 19, 2016* -
## Math

The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ). Given equation: y=x I chose: r=cosθ

*asked by Jolyne Kujo on March 20, 2019* -
## Calculus 2

If n is a positive integer, prove that integral[(lnx)^ndx=((-1)^(n))*n!](lower limit=0, upper limit=1) Thanks Again,

*asked by Hector on July 23, 2008* -
## Math

The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ). xy=1 possible solutions: 2rsinθcosθ=1 r²sinθcosθ=1 rsin2θ=2 r²sin2θ=2 I chose: r²sinθcosθ=1 Am I wrong?

*asked by Jolyne Kujo on March 20, 2019* -
## Algebra

I thought number 4 on this list was incorrect but didn't know how to fully explain it here is the list that I have. Please look at the following simplification of an algebraic expression. Which line contains the mistake and why? Line 1: (2x + 6x) + 4y + 3x

*asked by Linda on March 8, 2013* -
## Pre-Calc

2. The polar coordinates of a point are given. Find the rectangular coordinates of each point. a. (5,(π / 4)) b. (-2,(π / 6)) NOTE: I tried to do these myself and got that: a= (4.99,0.27) b=(-1.99,-0.11) Which I know these are wrong, so I don't know how

*asked by Katie on June 7, 2014* -
## Math

plot the point given in polar coordinates and find the corresponding rectangular coordinates for the point. (-1 , -3pi/4) I do not understand.

*asked by Abbey(Please help) on April 30, 2010*