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 ...

The graphs above, \(y = 2x + 1\) and \(y = 2x - 2\) have the same gradient of 2. The lines are parallel. State the equation of a line that is parallel to \(y = 3x + 7\). To be parallel, two lines ...

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Modern tools like a point slope form calculator can simplify the process of calculations, allowing you to quickly obtain solutions and graph the equations. These calculators can often perform many ...

Image caption, Architects have to understand gradient to work out the slope of a roof. There are rules and regulations for how steep a roof can be. For example, if the steepest incline allowed for ...