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Find the limit by direct substitution. A. lim x-> 5 square root cubed of x^2 -2x - 23. I replaced all of the x's with 5 and got -2. B. lim x-> -2 (4x^2 - 7x) / (6x + 10). I replaced all of the x's with -2 and got -15. Here's a link to the problem. It's 3A and 3B. Thanks. http://pic20.picturetrail.co...

Find the center, vertices, foci and eccentricity of the ellipse given by the following problem. x^2 / 11 + y^2 / 36 =1. Did I do it right? Thanks My answers. Center: (0,0) Vertices: (0,6) and (0,-6) Foci: (0,5) and (0, -5) eccentricity= 5/6 a^2=36 a=6 b^2=11 b=square root of 11 = 3.32 a^2=b^2+c^2 36...

Sketech the graph of the equation y^2+4y+2x+10=0. Identify the vertex, the focus and the equation for the directrix. Use the completing the square to put the equation into standard form as your first step. This is what I did. y^2 + 4y = -2x-10 y^2 + 4y + 4 = -2x-6 (y+2)^2= -2(x+3) vertex: (-3, -2) F...

Please determine the following limits if they exist. If the limit does not exist put DNE. lim 2+6x-3x^2 / (2x+1)^2 x-> - infinity lim 4n-3 / 3n^2+2 n-> infinity I did lim 2+6x-3x^2 / (2x+1)^2 x-> - infinity (2+6x-3x²)/(4x²+4x+1) (2/x² + 6/x -3)/(4 + 4/x + 1/x²) as x-> - infinity. My answer is -3/4 l...

Please determine the following limit if they exist. If the limit doe not exist put DNE.

lim 2x^3 / x^2 + 10x - 12

x->infinity.

Thanks.

Consider the rational function f(x)= 3x^2 - 12 / x^2 - 3x + 2
A. Give the equation of the horizontal asymptote.

B. Give the equation(s) of any vertical asymptotes.
Thanks