# Questions tagged [tangent-line]

For questions on the tangent line, the unique straight line that is the best linear approximation to a function at a point.

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### Constructing a tangent line to a point on the curve $y = x^3$ using a compass and straight edge?

There are number of ways of constructing a tangent line to the curve $y = x^2$ using a compass and straight edge. Does anyone know of way of constructing a tangent line to the curve $y = x^3$ using a ...
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### How to solve this geometry problem about circle?

On a circle w, we draw two pararrel tangents EA and FB where E and F are tangential point. Segment AGB is another tangent where G is the tangential point. If EA=84 and FB=189, find the radius of the ...
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### Distance between two intercepts of two tangents to a circle

A circle of radius $5$ is centered at $H(10,5)$. Tangents from $A(0, 16)$ are drawn to the circle as shown in the diagram below. Find the distance $d$ between their $x$-axis intercepts. Here is ...
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### Family of straight lines tangent to $e^x$

I just started to learn about Differential equations, I've been reading about families of curves, but I I just got stuck with this problem. I have been Trying to solve it, I have come to find the line ...
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### How can I calculate a smooth tangent wave that has no periodic delays?

I want to use a tangent function to create a waveform that always passes itself back to -1 at the end of each cycle to 1. When a tangent function only moves between -1 and 1, there is a gap left ...
Find a parameterization of a line tangent to the level surface S given by $e^{xy}+z^2+y^3=2$ at the point $P=(1,0,1)$ and orthogonal to $u=(0,-2,1)$. I found an equation for the tangent plane to the ...