How do you find the equation of the pedal of a parabola? r = d 2 sec θ, that is, the pedal curve is the tangent line to the parabola at the vertex; see Figure 1.2. What is node in curve tracing? Singular point and multiple points: Since the changes from concavity to convexity or...
Let's say you have a function, y = f(x), where y is a function of x. It doesn't matter what the specific relationship is. It could be y = x^2, for example, a simple and familiar parabola passing through the origin. It could be y = x^2 + 1, a parabola with an identical ...
In order to find the slope of the line and you are given the coordinates for its two points, what you need to do is to use and follow this formula: m=...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts can ...
How to find where a parametric equation crosses itself? The Parametric Representation of a Curve A curve represented by f(x, y) = 0 can be represented in parametric form using the equations : x=X(t)y=Y(t) Where t is a parameter. If we vary the parameter t between point t = a an...
The roots of a function are the points on which the value of the function is equal to zero. These correspond to the points where the graph crosses the x-axis. So when you want to find the roots of a function, you have to set the function equal to zero. For a simple linear function...
To find the intersection of two lines, set the expressions as equal and solve for x. Then determine y by filling in the x you found.
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Is a tangent line to a circle infinite? Does it go on forever or just sometimes? Compute the exact value of the following sum: \sum_{k=1}^{\infty} \frac{2^k}{5^{k+1 Find the derivative of f(x) = 2\cos(3x+2) How can one develop and execute a closure plan for a project...
2π is equal to a complete revolution around the unit circle, or 360°. What are the trig functions and how do they relate to the unit circle? The primary trig functions are sine, cosine and tangent. On the unit circle, sine corresponds to the y-value, and cosine to the x-...
Tangent Spaces: a generalization of a two-dimensional curve tangent line to manifolds. Tetration Functions: iterated exponentiation. Should I Take Calculus or Non-Calculus Based Statistics? Which course you take largely depends on what your future goals are. Few disciplines really need calculus based...