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- https://math.libretexts.org/Courses/Irvine_Valley_College/Math_4A%3A_Multivariable_Calculus/01%3A_Multivariable_Precalculus/1.04%3A_Lines_and_Planes/1.4.03%3A_Practice_SetWe take the derivative with respect to s to get: d′(s)=(s+2−t)+(s+2t)+(s+1−t)√((s+2)−t)2+(s−(−2t))2+((s+1)−t)2=3s+s√((s+2)−t)2+(s−(−2t))2+((s+1)−t)2 We...We take the derivative with respect to s to get: d′(s)=(s+2−t)+(s+2t)+(s+1−t)√((s+2)−t)2+(s−(−2t))2+((s+1)−t)2=3s+s√((s+2)−t)2+(s−(−2t))2+((s+1)−t)2 We take the derivative with respect to t to get: d′(t)=−(s+2−t)+2(s+2t)−(s+1−t)√((s+2)−t)2+(s−(−2t))2+((s+1)−t)2=6t−3√((s+2)−t)2+(s−(−2t))2+((s+1)−t)2
- https://math.libretexts.org/Bookshelves/Geometry/Geometry_with_an_Introduction_to_Cosmic_Topology_(Hitchman)/05%3A_Hyperbolic_Geometry/5.02%3A_Figures_of_Hyperbolic_GeometryThe Euclidean transformation group, E, consisting of all (Euclidean) rotations and translations, is generated by reflections about Euclidean lines. Similarly, the transformations in H are generate...The Euclidean transformation group, E, consisting of all (Euclidean) rotations and translations, is generated by reflections about Euclidean lines. Similarly, the transformations in H are generated by hyperbolic reflections, which are inversions about clines that intersect the unit circle at right angles. This suggests that these clines ought to be the lines of hyperbolic geometry.
- https://math.libretexts.org/Workbench/FHSU_College_Algebra/01%3A_Linear_Equations/1.07%3A_Slope_of_a_Line_and_Graphing_LinesSlope is one of the most powerful concepts you can understand. For simplicity, we refer to it as rise over run, but the concept that slope represents a rate of change is where the real application co...Slope is one of the most powerful concepts you can understand. For simplicity, we refer to it as rise over run, but the concept that slope represents a rate of change is where the real application comes into play. You deal with slopes every day in your real life when you think about miles per hour, cost per bushel, or bushels to the acre. All of these, and many more, could be thought of as a slope. Go ahead and think about how you use slope in your life, you may be surprised that you use alg
