Use gradients to find the equation of the line tangent to the hyperbola x - y...
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Use gradients to find the equation of the line tangent to the hyperbola x² - y² = 9 at the point (5, 4). (b) Use gradients to find the equation of the line tangent to the hyperbola x² - y² = 9 at an arbitrary point (x0, yo) on the hyperbola. (c) Show that as to approaches infinity and yo> 0, the slope of the the line tangent to the hyperbola approaches 1 and that as xo approaches infinity and yo < 0, the slope, approaches -1. 62 (d) Show that the slopes of the tangent lines of a general horizontal hyperbola (h)² – (y-k)² = 1 at points (xo, yo) on the hyperbola, approach b/a as xo approaches infinity and yo> 0 and approach -b/a as to approaches infinity and yo < 0. Use gradients to find the equation of the line tangent to the hyperbola x² - y² = 9 at the point (5, 4). (b) Use gradients to find the equation of the line tangent to the hyperbola x² - y² = 9 at an arbitrary point (x0, yo) on the hyperbola. (c) Show that as to approaches infinity and yo> 0, the slope of the the line tangent to the hyperbola approaches 1 and that as xo approaches infinity and yo < 0, the slope, approaches -1. 62 (d) Show that the slopes of the tangent lines of a general horizontal hyperbola (h)² – (y-k)² = 1 at points (xo, yo) on the hyperbola, approach b/a as xo approaches infinity and yo> 0 and approach -b/a as to approaches infinity and yo < 0.
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To find the equation of the line tangent to the hyperbola x2 y2 9 at the point 5 4 we can use the concept of gradients a Equation of the line tangent at 5 4 First lets differentiate the equation of th... View the full answer
Related Book For
Fundamentals of Corporate Finance
ISBN: 978-0133400694
1st canadian edition
Authors: Jonathan Berk, Peter DeMarzo, Jarrad Harford, David A. Stangeland, Andras Marosi
Posted Date:
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