1. N

    Tangent line to a point?

    If x^2*y-3x=y^3-3 , then at the point (-1,2) what is dy/dx equal to? For reference, here is a pic of the equation:
  2. N

    Finding a point on a circle.

    I am trying to get a point on a circle (point C) and all I know is the center point of the circle A (let's say at 0,0), the radius (20), and a point outside of the circle B (let's say at 46,53). How would I go about finding point C?
  3. S

    Closest Point of Approach (CPA) mathematical formula

    Hello guys, I recently searching for mathematical formula to find closest point of approach (CPA) to be applied to my radar ship program and I can't find the correct ways to calculates it. anybody know what are the correct formula besides plotting in manually? any mathematical formula or...
  4. P

    Circle shared point

    I need to calculate a point 2 circles share when they collide in 2 dimensions. What's the easiest way to do this? Context: The circles are spaceships with a velocity; I have already calculated the estimated image when they collide, so I have both their x and y values and radius when they collide.
  5. T

    limit point of the special set

    Hi, i can't find the limit point of the set s={((-1)^n)+cos(45n)} the poins are comming repetedly.so i want to know the limit point.
  6. A

    Calculate reflection point in 3D

    Hi, I've been trying to solve the following for days now, and I just can't seem to get to a solution: We have a cone of which the apex-angle is 2\theta. The tip of the cone, with length z0, has been cut off, and the cone-height (length of its optical axis *before* the tip was cut off) is h...
  7. M

    What is the highest point or points (largest y value) on the

    I've played around with this a bit. Is it the points (0,5) and (3,5) right?
  8. I

    3d point to 2d point

    Hello, This is my first post on this forum. I would really appreciate your help. Input: 3D axis coordinate system: xyz Point in 3D: P1(x1,y1,z1) Plane defined by point P2(x2,y2,z2) (viewpoint center) and a vector n normal to the plane. This plane is the monitor(PC) plane. I also have 2 other...
  9. A

    point of discontinuity??

    a^[x^2] , where [ ] G.I.F
  10. J

    Need help with fixed point analysis

    I have come across this equation in (http://citeseerx.ist.psu.edu/viewdoc/su ... .1.87.1376) A D dimensional point X (vector) in gaussian mixture has probability of p(x) = Sum(m=1,M) p(m)*p(X|m) to find the stationary point he partially differentiates with respect to x and equates to zero...
  11. J

    Finding stationary point in Gaussian Mixture

    I have come across this equation in (http://citeseerx.ist.psu.edu/viewdoc/su ... .1.87.1376) A D dimensional point X (vector) in gaussian mixture has probability of p(x) = Sum(m=1,M) p(m)*p(X|m) to find the stationary point he partially differentiates with respect to x and equates to zero...
  12. R

    probability at a point for a continuous random variable

    Hello all, I am new to this forum, and also to the field of random variables. I have a doubt regarding the existence of the probability that a continuous random variable x to take a particular value X. I read that, this probability is equal to 0, which was proved by considering the probability...
  13. W

    Finding tangent lines on a curve through a point

    Hi guys can you please help me out with this question: Find tangent lines on the curve x^2+4y^2=36 which pass through the point (12,3).
  14. M

    A particle moving around a circle and a point

    Problem says: A particle is traveling around the cirlce x^2 + y^2 =25 where x and y are measured in inches. At the instant the particle is at the point (3,4), dx/dt = 7/sec. Find dy/dt at this time ??? :mrgreen:
  15. E

    Zero point numericals.

    Please tell me I am not a complete idiot in posting this: http://youtu.be/wNjteXknmDA. I have to the best of my ability controll checked the resolve and it is rational. Pi is rational. Before moving on from here I appeal for help. Using the dozenal numerical system without any zero confirm...
  16. H

    Calculate a point on a parallel vector

    Hi guys, I'm facing a problem in calculating a point on a vector which is parallel to known vector. http://i.imgur.com/CLf8m.jpg From the image above, the information I'm having is : 1) Two vectors V1 and V2. 2) Two known points 'A' & 'B' on Vector V1. 3) A point 'C' on vector...
  17. T

    Series solution near regular singular point

    So you have xy'' + y = 0 and at x = 0 is a regular singular point. Therefore you plug in the generalized power series y = \displaystyle\sum_{n=0}^{\infty} a_nx^{n+r} into the differential equation. You should get: a_0x^r*(r-1)r + \displaystyle\sum_{n=1}^{\infty} \[(n+r-1)(n+r)a_n +...
  18. A

    exercise problem IEEE 754 floating point

    Hi Everyone, I need some help on how to convert decimal numbers in to IEEE 754 (single) floating point notation. For example, given a number 1995,5, then I do: 1995 to binary is 111 1100 1011 0,5 to binary is 0,1 Together we have: 111 1100 1011,1 After standardising, we have 1,11110010111 x...
  19. P

    taylor series expansion about non-zero point

    hi, i am having this doubt from some time. any function say sin(x) can be expanded in power series in just one way, there is a single expression for this. we can expand sin(x) about 0 and get the usual expression of x - xcube/3! + xfive/5!... now, what does it mean to expand it around any other...
  20. M

    A moving point along a graph

    A point is moving along the graph of y = 1/(1+x^(2)) such that dx/dt is 2 inches per second. Find dy/dt for (a) x = -2, (b) x = 0, (c) x = 1 and (d) x = 3 If someone could show me how to set this problem up and solve for one of these above x's, I could take notes and to the rest...