Mathematics, 28.10.2020 16:40, taylorbohr6823
Find an equation of a parabola that has curvature 6 at the origin. (Assume the parabola has its vertex at the origin, and opens upward.)
Answers: 1
.
.
(Eq. 1)
- Independent variable, dimensionless.
- Dependent variable, dimensionless. 
, 
, 
- Coefficient of the parabola, dimensionless. 
), dimensionless, is defined by the following expression: ![K = \frac{\left|\frac{d^{2}y}{dx^{2}} \right|}{\left[1+\left(\frac{dy}{dx} \right)^{2}\right]^{\frac{3}{2} }}](/tpl/images/0847/4620/4981a.png)
(Eq. 2)
and 
are the first and second derivatives of the function, respectively. Each expression is described below:
, 
, 
and 
, then the equation of curvature and polynomial are, respectively:
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Find an equation of a parabola that has curvature 6 at the origin. (Assume the parabola has its vert...
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