# cartesian

1. ### Convert Cartesian Distance to Sperical

I apologize if this is posted in the in the wrong place (i figure either here or calculus) Assume unit radius this is what i know - I have a latitude and longitude and I can convert these to Cartesian coordinates like this first convert lat and lon to radians by multiplying by pi/180...
2. ### Finding the Cartesian equation for a set of parametric equations

I'm trying to solve this problem, but I am having trouble. Can someone give me some pointers? A curve is defined by the parametric equations: x = 2t / (1 + t^2) y = (1 - t^2) / (1 + t^2) By considering the expression x^2 + y^2, eliminate the parameter t to obtain the Cartesian (x-y) equation...
3. ### Basic Set Theory (Cartesian Products): a simple exercise.

Hey guys! I'm brand new to set theory; I just started learning it as a hobby. I just finished the section on cartesian products, and I'm a bit hung up on one of the exercises. Let A,B,X, and Y be sets. A contains X, and B contains Y. Prove that C(XxY) = AxC(Y) U C(X)xB Mendelson's Intro to...
4. ### Help with Cartesian product of power sets please

I hope I'm not breaking any rules by posting this, but just came across a homework problem that I was unsure on. What is the Cartesian product of A and the power set of B if A={1} and B={}? I know that the Cartesian product of A x B under these cases is the empty set, but it's not the same...
5. ### When is a Cartesian Product of Two Groups A Group?

Hi Everyone, My problem is stated as: "Determine the groups G such that \{(g,g^{-1})\mid g \in G\} is a subgroup on G\times G." To me, appears that if G is a group, then this should always define a subgroup. Going through the subgroup test: Identity: All of the resulting subgroups will have an...
6. ### Cartesian product question

Okay, I have this problem from a maths textbook and its along the same lines as If S and T are sets the Cartesian product S x T of S and T is defined [(s,t) : s ∈ S, t ∈ T} Prove if S and T are convex sets in ℝ^n and ℝ^m then ℝ^(n+m) is convex also --------- I have the answer but I'm...
7. ### Countable Cartesian Product

Let A_1, A_2, A_3, . . . be countable sets, and let their Cartesian product A_1 x A_2 x A_3 x ..... be defined to be the set of all sequences (a_1, a_2, . . .) where a_k, is an element of A1. Prove that the Cartesian product is uncountable. Show that the same conclusion holds if each of the sets...
8. ### Change from cartesian to polar spherical coordinates?

Hi, I'm having a bit of a problem changing from cartesian to polar spherical coordinates, as the expression contains derivatives. This is what I have to change: L_x=-i\hbar \left(y\frac{\partial}{\partial z}-z\frac{\partial}{\partial y}\right) L_y=-i\hbar \left(z\frac{\partial}{\partial...
9. ### Cartesian Equation of Plane

Find the cartesian equation of a plane which passes through the point (3,-4,1) and is parallel to the plane containing the point (1,2,-1) and the line r=t(1,1,1). The answer is 3x-2y-z=16. I don't know how to find the normal vector of the plane. I know that the fixed point is (3,-4,1). Please...
10. ### Polar coordinates to spherical cartesian

Hi guys, I may have bitten off more than I can chew at work. I measured a wireless device output signal at intervals around 360 degrees. I then rotated the router on a vertical axis and repeated the same. I now have 4 sets of polar coordinates (angle,distance) and I want to display this as a...
11. ### Cartesian Coordinates on Spherical Helix

I'm a Manufacturing Engineer that is a little rusty on my math skills needing some help for a problem concerning a helix on a sphere. I first asked my question in the pre-university math geometry section but have not received any responses so here I am asking again and hoping someone can point...
12. ### Cartesian equation of Luroth's quartics

Hello! I'm in search of the Cartesian equation of Luroth's quartics, i.e. of those curves passing through the 10 vertices of a pentalateral complete. I have found in Internet a formula of the type 1 / L0*l0 + 1 / L1*l1 + 1 / L2*l2 + 1 / L3*l3 + 1 / L4*l4 but I can't obtain from this...
13. ### is it possible to convert equation variable (polar to Cartesian coordinate)?

hi everyone!! my project is related spur gear and i draw the involute profile by using matlab program . this is the program only for better understanding (graph also attached with post) is it possible to make such kind of equation Y=f(x) for involute profile? because i want to use this equation...
14. ### is it possible to convert equation variable (polar to Cartesian coordinate)?

hi everyone!! my project is related spur gear and i draw the involute profile by using matlab program . this is the program only for better understanding (graph also attached with post) is it possible to make such kind of equation Y=f(x) for involute profile? because i want to use this equation...
15. ### finding cartesian equation of curve

Hello, I am trying to find the cartesian equation of the curve in general form. The curve is 'y=1-12t'. I know the final answer is (1-y)^2-24x+48=0 but I only know the first step: i.e. separate to 't= {1-y} / 12' I do not know how to proceed. Can someone show the method for completing this...
16. ### from parametri to cartesian for ellipse pedal curve

from parametric to cartesian for ellipse pedal curve Hello!(Evilgrin)For a pedal of the ellipse i found the parametric and the corresponding Cartesian equation (see annex).Who knows a algebric method not too complicated to go from the parametric to cartesian?To me at a certain point I must...
17. ### cartesian equation

Find a cartesian equation for the plane containing the point (3, 1, 5) and perpendicular to the line with parametric form x = 5t + 1, y = 6t − 2, z = 8t, t 2 R.
18. ### Circle in cartesian and polar

I have a circle whose center is at point (5,-2) and goes through (1,1) Circle formula: (x-h)^2+(y-k)^2=r^2 h=5 k=-2 r=\sqrt((x_1-x_2)^2+y_1-y_2)^2) r=\sqrt((5-1)^2+(-2-1)^2) r=\sqrt(25)=5 so, (x-5)^2+(y+2)^2=25 I can't tell for sure if this passes through (1,1) or not from the wolfram graph...
19. ### Conversion of polar to cartesian

I'm getting pretty frustrate with polar coordinates and I can't find any videos online that are very helpful. So I have this and a few other questions I'm posting. The first problem, I thought, would be simple but my graphs dont match: Convertr=sin(2 \theta) into cartesian 1. I changed it to...
20. ### Cartesian coordinate help

Hi guys, I have a question. Lets say i have cartesian coordinate of X1 = (1,3,1), X2 = (3,2,1) andX 3 = (5,2,4) , X4 = (10,1,2) and there is Y has equal distance to each of the X. how can i find the cartesian coordinate of Y? thanks.