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Search Results for “Polar-function”

By Phil Todd
Hyperbola Polar Line
The polar line is the locus of the intersections of tangent lines at the ends of chords of teh parabola through a fixed point. Turns out to be conceptually important - not just a curiosity.

Tags: polar, conic, hyperbola

By Phil Todd
Polar Point Ellipse
The polar point of a line in an ellipse is a common point to the chords defined by the common tangents through the points on the line. Play with it and the meaning will be clear! (Go to Full Screen if the green points won't drag)

Tags: ellipse, polar

By Phil Todd
Polar Point Parabola
The polar point of a line in a parabola is a common point to the chords defined by the common tangents through the points on the line. (Go to Full Screen if the green points won’t drag)

Tags: polar, parabola

By Phil Todd
Parabola Polar Line
The locus of the intersection of tangents at the ends of chords of a parabola through a given fixed point is a straight line. This is called the polar line of the given point

Tags: parabola, polar

By Phil Todd
Polar Line
The locus of the intersections of the tangents at the end of chords of an ellipse which pass through a common point is a straight line. A bit of a mouthful, but play with the diagram and it will become clear.

Tags: locus, polar, ellipse, conic

By Duncan
Function Composition
Define g(x) and h(x).  Now try and define f(x) so that f(g(x)) = h(x).

Tags: function, function-composition

By Duncan
Function composition challenge 1
Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: function-composition, algebra-2

By Duncan
Function composition challenge 2
Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: function-composition, algebra-2

By Duncan
Function composition challenge 4
Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: function-composition

By Duncan
Function composition challenge 3
Can you find the function f, so that f(sin(x)) matches the grey curve?

Tags: function-composition, algebra-2


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