The parobola ye=166 and the hyperbola is 2 x 36 20 the equation of common tangent.
12 marks] 8. Find the equations of both the tangent lines to the hyperbola x? - 4y2 = 9 that pass through the point (-3,3). Note that the point (-3, 3) is not on the hyperbola.
9.4.37 Write an equation for the hyperbola shown in the graph -20 The equation for the hyperbola above is 1. (Simplify your answer. Use integers or fractions for any numbers in the expression.)
2. The equation 20 = 86x2 + 140xy – 139y2 describes a hyperbola that is oriented so that it's symmetric about the lines 7y – 2x = 0 and 2y + 7x = 0. (a) Determine a symmetric matrix A so that the equation of the curve is 20 = r? Ar where r= 12). (b) Show that the determinant of A is negative. (c) Determine the minimum distance between the two branches of this hyperbola by describ- ing the...
36. [-/2 Points) DETAILS LARCALC10 2.1.035. Find an equation of a line that is tangent to the graph off and parallel to the given line. Function Line 3x -y +9 - 0 x) = x Y (smaller y Intercept) y = (larger y-Intercept)
Find the equation of the normal line to the hyperbola x^2 − 2y^2 = 1 at the point (− 3,2) . (Use implicit differentiation).
An equation of a hyperbola is given. x^2/16 - y^2/64=1. (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (b)Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
An equation of a hyperbola is given. x^2/16 - y^2/61=1. (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a comma-separated list of equations.) (b)Determine the length of the transverse axis. (c) Sketch a graph of the hyperbola.
22 +2 • Find an equation for the tangent to the curve y = 20-5 • Where else will a tangent be parallel to this one? at x = 4.
How do I find the equation of the tangent line? 2. x = cos 20 y = sin 40 a. r = 11
no calculator can be used 12. Use implicit differentiation to find the equation of the tangent line to the hyperbola x2 - y2 = 20 at the point (6, 4).