# coordinates

1. ### Presentations of Imaginary Axis for different types of coordinates and dimensions.

Could you explain and depict geometrically imaginary axis for different types of real coordinates? I need it on order to understand their meanings both for physical applications IRL and further studying on pure mathematics. P.S. Are there any connections between imaginary axis on...
2. ### find the coordinates of the 2 sides of a chord

If I have the circle's equation including r and circle's origin coordinates. And I have the coordinates of a point M in the middle of a chord which splits the chord into 2 equal parts. Then how do I find the coordinates of each point in each side of the chord?
3. ### Change of how coordinates behave

I have three vectors that are coordinates of a product: X,Y,Z The combination of these three coordinateâ€™s together is an unique spot in my product. I want to calculate if the there is a change of how the spot changed compared to how the line of the previous spots behaved. How can I...
4. ### Making a formula that finds the horizontal and vertical distance between two points t

I am making a Scratch 3.0 game. The shooter sprite is holding a gun slightly off-centre (see images), and I need the bullet to go to the end of the barrel of the gun before travelling forward (as so it would appear the bullet it leaving the gun). The issue is, to do this, I need to find the X...
5. ### Problem involving a unit circle and two other coordinates

I have a little problem that I hope the community would be able to assist me with. I have a unit circle and inside that unit circle I have a point (A), outside that unit circle I have another point (B). Is there a way to find the coordinates of the point that intersects the radius of the unit...

7. ### Curvilinear Coordinates Volume Element

Given r=(x(u,v,w), y(u,v,w), z(u,v,w)) How do you get from dx=x_{u}du+x_{v}dv+x_{w}dw dy=y_{u}du+y_{v}dv+y_{w}dw dz= z_{u}du+z_{v}dv+z_{w}dw to dxdydz=\biggr\vert\frac{\partial (x,y,z)}{\partial (u,v,w)}\biggr\vert dudvdw Look up Jacobian
8. ### Coordinates where gradient is zero of trig functions

Hi everyone, I have two questions I am struggling with. They are: work out the coordinates when the gradient of these functions is equal to zero t=cos(theta) and Z=sin(2theta) I think I need to find the derivatives, but then what? Thanks in advance; have a nice day.
9. ### Coordinates where gradient is zero for t=cos(theta)

Hi everyone i'm doing a chemistry degree and trying to work out when the gradient of these functions is zero t=cos(theta) and Z=sin(2theta) I think i need to find the derivatives but then what? Thanks in advance have a nice day :)
10. ### Switching scalar field to polar coordinates

I am trying to take this scalar field $\phi$(r)=$\exp[x^2+y^2] * sin(x^2 - y^2)$ And switch to polar coordinates. But every time I do so I get trig functions sandwiched together. The $x^2 + y^2$ in the exp is simple as it's just r^2. However, the $x^2 - y^2$ in the sin function becomes a...
11. ### Orthogonal curvilinear coordinates

The question is in the attachment or image below. I have two questions. 1) In question c how can i do it and whats the solution ? 2)For question d , I got the volume as 2/3. Am I right or is there something i missed to get it wrong ?
12. ### Coordinate conversions (similar to polar coordinates)

I use a coordinate system that is very similar to polar coordinates, but has a unified reference. Basically, a point's coordinates is an angle and a distance. At the moment I'm just doing 2d. The coordinates help me build things easier programmatically. I know this has programming but it...
13. ### Solve for the Variables of the Coordinates

The point (15, 4) is the midpoint of C and D. Given that the coordinates of C are (9, s) and the coordinates of D are (t, 4), solve for the values of the variables s and t. Show your work to prove your answer. Any help with this question will be greatly appreciated. Thank you!
14. ### Find the coordinates of the point(s) at which the curve has the specified gradient

Hello. I come here because I am in need of help. I am desperate. I just started learning at a university, and I do not understand a lot of things here. I will just add a picture of what I do not understand. If someone would help me, it'd mean the world to me... I do not understand how to do the...
15. ### Triple Integral with Spherical Coordinates

Calculate the Integral bellow, where T is the region inside the cylinder xÂ² + yÂ² = 1 and xÂ² + yÂ² + zÂ² = 4. âˆ« âˆ« âˆ« (xÂ² + yÂ²)dV T I'm having trouble to convert the coordinates... I did it like this (feel free to correct me, after all, probrably I'm wrong) 0 < x <sqrt(1 - yÂ²) -1...
16. ### Triple Integral with Spherical Coordinates

See my post here.
17. ### Need help calculating coordinates for a tangent point.

So let's say I know coordinates for D (-10171.62, 490.26) angle at that point is 75.52. Also, line EF is a section of a line that starts at -10249, 0 and ends at -10094.8, 7615.2. How do I find the coordinates for A? BTW, the angle at A is 91.16
18. ### Tricky Spherical coordinates...

Consider the region S inside the cylinder x^2+y^2 = 1, outside the sphere x^2+y^2+z^2 = 1, and with z between 0 and 1. A view from above and a cross section (looking along the positive x axis) are shown below. Set up one or more triple integrals to integrate a function f(x; y; z) over S using...
19. ### Equation of sphere with spherical coordinates

Hello everyone, I am stuck on this problem where we are given a spherical coordinate equation and must find the cartesian equation. The cartesian equation represents a sphere and they want us to find the center and radius. I have my work attached and the problem written there. My plan of...
20. ### Point of intersection coordinates (Diff)

Hi, I'm revising for an upcoming calculus test and have a differentiation problem. A curve y=x^2 + x + 3 and line y = 2x + 5 are on a graph diagram (not to scale). I need to find the co ordinates for each two points of intersection on the graph. I'm not sure whether I'd use the turning points...