Express the polar equation \(r=\cos 2\theta\) in rectangular coordinates. Find the maximum height above the \(x\)-axis of the cardioid \(r=1+\cos \theta\text{.}\) Sketch the graph of the curve whose ...

In the world of mathematics, understanding how to calculate the slope of a line is an essential skill. The slope represents the rate at which a line rises or falls along the x and y axes on a ...

The Line-Line Intersection Calculator is a web application developed using JavaScript, HTML, and CSS that allows users to find the point of intersection between two lines in a 2D Cartesian coordinate ...

The straight line through two points will have an equation in the form \(y = mx + c\). Then, we can find the value of \(c\), the \(y\)-intercept, by substituting the coordinates of one point into the ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

As the tangent is a straight line, the equation of the tangent will be of the form \(y = mx + c\). We can use perpendicular gradients to find the value of \(m\), then use the coordinates of P to find ...

Abstract: It is a known fact that in a frame of the parabola based calculation for overhead line design the equation of the conductor curve in a span can be defined if the span length, the coordinates ...