Find the equation of any horizontal asymptote. x2 + 7x - 6 21) f(x) %3D X - 6 A) y = 6 B) None C) y=-7 D) y= 1

Q: (x – 2)² (y – 3)² Graph: = 1. Where are the foci located? What are the 16 equations of the…

A:

Q: 2x+ 10 What is the equation of the horizontal asymptote of Az) = - a) x= 0 O b) y = 0 c) x= 5 d) y =…

A: Given f(x)=-12x+10

Q: Find the horizontal and vertical asymptotes of the curve. x2 + 1 y = 9x2 - 26x – 3 (smaller x-value)…

A: From the given problem: y=x2+19x2-26x-3 To calculate vertical asymptote, equate denominator to zero…

Q: 3. f(x) = -0.25x+ 8x - 2 Sketch: Opens: Vertex: Equation for Axis of Symmetry:

A:

Q: Find the point on the parabola x= - 2t, y = - 2t, - o <t< oo, closest to the point (- 32, – 1).

A: Let the point (x, y)=(-2t, -2t2) on the parabola be the closest point to (-32, -1) So distance…

Q: Find the asymptotes of the hyperbeia y+9 = 0 x² - y? + 2x +

A:

Q: The horizontal asymptotes of the curve 3x y = (x4 + 1)'/4 are given by %3D Y1 = and Y2 = where y1 >…

A:

Q: y² For the hyperbola = 1, the asymptotes are 81 16 and

A: we have to fill in the blanks: For the hyperbola y216-x281=1, the assymptotes are ________ and…

Q: Suppose that / (3x+-x²) dx=Ax³+ Bx³ +C, for constants A, B, C. What is the value of C if the curve…

A:

Q: A parabolic arch has an equation of 7x + y- 260 0. Find the maximum height of the arch. units

A: The equation of parabolic arch is: 7x2+y-260=0

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-…

A: Solving two equations

Q: 13. The parabola y = x2 + x + 1 opens: A. To the right %3D B. To the left C. Upward D. Downwarč

A: y=x2+x+1 here parabola is in the form of y=ax2+bx+c which means it can be open up or down…

Q: Find a parabola with equation y = ax? + bx + cthat has slope 4 at x-1, slope -8 at x=-1, and passes…

A:

Q: A point moves on the parabola 10y = 5x² + 3 in such a way that when x = 6, the abscissa is…

A: Given: A point moves on the parabola 10y=5x2+3, when x=6 the abscissa is increasing at the rate of 2…

Q: A parabolic arch has an equation of 3x 2 + y – 300 = 0. a) What is the maximum height of the arch?…

A:

Q: In sketching In (x - 2)² y = ex² determine the intersection of the " curve and the horizontal…

A: Solve the following

Q: 2. f(x) = 2 - 5x + 2x Sketch: Opens: Vertex: Equation for Axis of Symmetry:

A: The quadratic function is f(x)=2-5x+2x2 Let the function of the form f(x)=ax2+bx+c, if a &gt; 0 then…

Q: dx, using two and three points Gauss Quadrature Q4 (a) Approximate the value of

A:

Q: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: 9) Find the point on the parabola y = 10-x² closest to the point (0, 5.5).

A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

Q: Graph it! 10 8 x y 9. = 1 16 9. Vertices: 2- -10 -8 -6 -4 -2 2. 4. 8 10 -2- Foci: -4 -6 -8…

A:

Q: Find the tangent line to the parabola x2-6y=10 through (3,5) (ILLUSTRATE SOLUTION)

A:

Q: 4x² + 9x + 1 3x² + 7x + 5 What is the equation of the horizontal asymptote for y= С. A. x= А. D. y=3…

A: Explained below

Q: Wrat is the equation in standard form of ahyperbola whose asymptotes are y=- うオー and y= -x- and a…

A: Given: y=32x-92         asymptote 1 to hyperbola                                         1y=-32x -32…

Q: dy Find dr - 6.3% +1-6x (а) () (ii) Hence find the maximum height of the tunnel.

A: The height of the tunnel, in meters is y = -0.1 x3 +0.8 x2,     2≤x≤8

Q: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

Q: Find the horizontal and vertical asymptotes of the curve. 2ex y = ex – 6

A:

Q: Find the horizontal and vertical asymptotes of the curve. 6x²+x- - 9 у x² + x - 56 X = (smaller…

A:

Q: find the intercepts and the equations for the asymptotes. 16x2 - y2 = 25

A: Standard form of a hyperbola whose center is origin, x2a2-y2b2=1 And the equation of asymptotes are…

Q: 3) What is the horizontal and vertical asymptote line? a) x =y b) x = 0, y = 2 c) x = -1, y = 2 d) x…

A: From the given function, we have to find its vertical and horizontal asymptote

Q: ind the vertex and the x-intercepts (if any) of the parabola. (If an answer does not exist, enter…

A:

Q: Find the asymptotes of the folium of Descartes given by the equationx3+y3=3axy.

A: We have given the equation of the folium of Descartes;

Q: Find a parabola with equation y=ax^2+bx+c that has slope 4 at x = 1, slope -8 at x = -1, and passes…

A:

Q: Q3// Does the parabola y = 2x2 13x + 5 have a tangent whose slope is (-1)? %3D If so, find tangent…

A:

Q: Sketch the graph of 4y2- 2x2 =1. Find the foci of the asymptotes. A 0,+ 3 B 3. 0, ± D 3

A: The standard equation of the  vertical Hyperbola is: y-k2b2-(x-h)2a2=1 Where the center is at (h,k)…

Q: Not so long ago, you learned in this course that the vertex of the parabola y = ax? + b bx + c…

A: iven equation of parabola, Y= ax2 + bx +c

Q: A point moves on the parabola 10y = 5x² + 3 in such a way that when x = 6, the abscissa is…

A: To find the increasing rate of ordinate at x=6, differentiate 10y=5x2+3 with respect to time, t,…

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

A:

Q: Given x2 = 4py with p&gt; 0, the parabola opens (upward/downward/left/right).

A:

Q: Fnd the x uterceptis) and the coordinates of the vertex for the parabola y=x+10x+25. If there is…

A:

Q: Classify the equation x2+y2+4x-12=0 Find its center, asymptotes, and radius.

A: The equation of circle is x-h2+y-k2=r2. where h,k is the center and r is the radius.

Q: The line x=C where C70 intersects the cubic y= 2x3 + 3x²-9 a七 the point P and parabola y = 4x+ 4x +5…

A:

Q: In the given equation 9x- 4y= 36. Find the foci and equations of the asymptotes.

A:

Q: Graph: 4x2 - 24x - 25y2 + 250y - 489 = 0. Where are the foci located? Whatare the equations of the…

A: Given equation, 4x2 - 24x - 25y2 + 250y - 489 = 0 we have to tell where are the foci located and…

Q: A parabola has an equation of x² = 6y + 10. Compute the equation of a tangent to the curve which has…

A: Given that a parabola has an equation x2=6y+10. Here we have to compute the equation of a tangent to…

Q: The graph of y = x2 on 0&lt;=0 x&lt;= 2 is revolved about the y-axis to form a tank that is then…

A: Work done will be :