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Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
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the slope field is an array of slope marks in the phase space (in any number of dimensions depending on the number of relevant variables; for example, two in the case of a first-order linear ODE, as seen to the right). Each slope mark is centered at a point (,,, …,) and is parallel to the vector
l = slope length α = angle of inclination. The grade (US) or gradient (UK) (also called stepth, slope, incline, mainfall, pitch or rise) of a physical feature, landform or constructed line is either the elevation angle of that surface to the horizontal or its tangent. It is a special case of the slope, where zero indicates horizontality. A ...
In horizontal curves, the cross slope is banked into superelevation to reduce steering effort and lateral force required to go around the curve. [1] All water drains to the inside of the curve. [ 2 ] If the cross slope magnitude oscillates within 1–25 metres (3–82 ft), the body and payload of high (heavy) vehicles will experience high roll ...
A 100% slope is a 45-degree angle. In general, beginner slopes (green circle) are between 6% and 25%. Intermediate slopes (blue square) are between 25% and 40%. Difficult slopes (black diamond) are 40% and up. Although slope gradient is the primary consideration in assigning a trail difficulty rating, other factors come into play.
This is an accepted version of this page This is the latest accepted revision, reviewed on 21 January 2025. Active volcano on the east coast of Sicily, Italy "Mongibello" redirects here. For the fictional location, see The Talented Mr. Ripley. Mount Etna Etna with the city of Catania in the foreground (December 2007) Highest point Elevation 3,403 m (11,165 ft)(varies) Prominence 3,403 m ...