# Tagged Questions

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### Straight lines - point of intersection

Question: Two rays in the first quadrant: $$x +y = |a|$$ $$ax - y = 1$$ intersect each other in the interval $a \in (a_0, \infty)$, the what is the value of $a_0$? I don't even understand where to ...
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### Find a projectivity to create a graph.

I have the tetrahedron {xyzt=0} in projective space with homogeneous coordinate (x,y,z,t). I need to create a graph but the tetrahedron in affine coordinate is {xyz=0} and I can't visualize the ...
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### Making y the subject of equation while maintaining the domain?

Because I am plotting the curve on a graphing calculator, I have to change the subject of the following equation to y. x=0.07(y+3)^2-4.7 I got: y=((x+4.7)/0.07)^0.5-3 But now the line is ...
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### Manually calculating variables for graph

I have the following data returned from database: Year | Fund 2008 | 26533.20 2009 | 25354.10 2010 | 36530.50 2011 | 24571.30 2012 | 42563.70 I am ...
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### How to approach sketching sine and cosine graphs with transformations

Any tips or suggestions in sketching these graphs quickly, and in ONE go? In exams, I don't want to spend ages re-drawing the original sine/cosine graph, one by one, following each new ...
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### Online 3D plotting tool for systems of linear equations in three unknowns

I was trying to visualize how systems of linear equations in three unknowns work but failed miserably and I started to look for an online tool which would allow me to plot all three equations but ...
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### find a common plane which contains two points (NP hard?)

In this problem the coordinates of 4 points are given. $p_{0}=(x_{0},y_{0},z_{0})$, $p_{1}=(x_{1},y_{1},z_{1})$, $p_{2}=(x_{2},y_{2},z_{2})$ and $p_{3}=(x_{3},y_{3},z_{3})$ I need to find the ...
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### Calculate base and coefficient for power curve through 3 non-linear points

I have a formula that takes a 0-based bounded single dimensional input and transforms it to a specific power curve. EDIT This is single dimensional. There is no $y$. In the image, I'm showing how ...
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### Approaching of area and perimeter of a regular polygon to that of a circle

When regular polygon approaches to circle its area and perimeter also approaches to that of a circle. Can you graphically show that ?
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### Graphing quadratic form, which eigenvalue should be chosen first?

I just graph a quadratic function, $-4x^2_1+4x_1x_2-7x_2^2=-8$, by: Find the eigenvalues of the function above, which are $\lambda_1=-8$ and $\lambda_2=-3$ Use the eigenvalues to make a new ...
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### Help me conclude a statement about two points given the following…

Two points on the graph of $y=kx^p$ are labeled $A$ and $C$. Point $A$ has coordinates $(a,b)$, where $0<a<1$ and point $C$ has coordinates $(c,d)$, where $1<c$. If we are told that that the ...
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### External division of a line - Find the ratio given the coordinates?

I need help with this question: "The point $P=(-3,8)$ divides the interval $AB$ externally in the ratio $k:1$. If $A$ is the point $(6, -4)$ and $B$ is the point $(0,4)$, find the value of $k$." ...
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### How to find the intersection of these two points graphically?

I have the following equations : 1) $3x-y=4$ 2) $4x-2y=2$ Now on paper, I did the following : 1) at $x=0$, $y=-4$ , at $y=0$, $x=1.333$ 2) at $x=0$, $y=-1$ , at $y=0$, $x=\frac{1}{2}$ Using ...
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### Can you plot a line without knowing the constant value?

A simple example : $Z=3x_1 + 2x_2$ Z is a constant with no given value. $x_1, x_2 >0$ $x_1 \leq 5$ $x_2 \leq 8$ The lecturer said that the slope is $-3/2$ , which I understand. However, ...
This is what i am given: $y=[3, 5, 5, 8, 10, 12, 15, 16, 18, 19]$ and $t=[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]$ experimental data Solve x=A\b Thanks got it