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- What is the difference between equation and formula?
An equation is meant to be solved, that is, there are some unknowns A formula is meant to be evaluated, that is, you replace all variables in it with values and get the value of the formula Your example is a formula for mpg But it can become an equation if mpg and one of the other value is given and the remaining value is sought
- simple geometry question- equation of cylinder
All points on it have x=0 and y=0 Clearly it is a line with any z-allowed You could write the equation of the axis as x2 +y2 = 0 x 2 + y 2 = 0, because in the reals the only solution to this equation is x = 0 x = 0 and y = 0 y = 0 This shows you that the z-axis is like an infinitely thin cylinder (with a point cross section 0 radius)
- General formula for solving quartic (degree $4$) equations
For cubic equations of the form , there is a set of three equations, one for each root Is there a general formula for solving equations of the following form [Quartic Equations]?
- Normal vector to plane - Mathematics Stack Exchange
Suppose we have the plane with equation 3x − 7z = 12 How to find its normal vector? The plane with equation Ax + By + Cz + D = 0 has the normal vector n = (A, B, C) Using this we get that above plane has normal vector (3, 0, − 7), right? Let's apply another method
- How to calculate a heart? - Mathematics Stack Exchange
I want to get her to notice me by graphing a heart on my TI calculator but I don't know if there's a single mathematical equation that can draw this when it graphs the line
- Ellipse in polar coordinates - Mathematics Stack Exchange
The second angle is used in polar coordinates in the standard ellipse and is measured from center of the circles We call it θpolar as usual Green radial line For an ellipse axes (a, b) along (x, y) coordinate axes respectively centered at origin given Wiki expression is obtained in polar coordinates thus: Plug in x = rpolarcosθpolar; y = rpolarsinθpolar;
- Reflection of a line in a plane - Mathematics Stack Exchange
The line l1 l 1 has the equation r = (6i + 2j − 2k) + λ(4i + 5j − k) r = (6 i + 2 j − 2 k) + λ (4 i + 5 j − k) and the plane π1 π 1 has the equation 2x − y + 4z = 4 2 x − y + 4 z = 4 The line l2 l 2 is the reflection of l1 l 1 in the plane π1 π 1 Find the exact vector equation of line l2 l 2 So the line intersects the plane when λ = −2 λ = − 2, giving the point (−2
- How can I find the points at which two circles intersect?
EDIT1 If the discriminant of this quadratic equation that is the real guide is (> 0, 0, <0) then the intersections are respectively (2, 2 coinciding points at tangent,2) in number which are the required ( real,real,complex) points
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