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Given an equation of a hyperloola w asymptote 3 x-4y=!1, 3x +44 = A) Find the...
Tara Carpenter 7/30/2020 Sluent DO&2 5424 w/ asymptote 3 x-4y=11, 3x+4y= passed pont (5,-2)' A) Find...
Tara Carpenter 7/30/2020 Sluent DO&2 5424 w/ asymptote 3 x-4y=11, 3x+4y= passed pont (5,-2)' A) Find the equation of the given hyperbola B) Find the center iertices forci, eccentricist
y^2-3x-4y-1=0 3. Find the equation of the tangent line and the equation of the perpendicular line...
y^2-3x-4y-1=0
3. Find the equation of the tangent line and the equation of the perpendicular line to the curve y? - 3x - 4y - 1 = 0 at (-2, 1) at the given point. 2 marks.
#47 51. 52. 39. Vertices: (+1, 0); asymptotes: y = 5x 40. Vertices: (0, 3); asymptotes:...
#47
51. 52. 39. Vertices: (+1, 0); asymptotes: y = 5x 40. Vertices: (0, 3); asymptotes: y = 3x Finding the Standard Equation of a Hyperbola In Exercises 39-48, find the standard form of the equation of the hyperbola with the given characteristics. 41. Foci: (0, +8); asymptotes: y = +4x 42. Foci: (+10,0); asymptotes: y = +x 43. Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 - x 44. Vertices: (3,0), (3, 6); asymptotes: y...
Given an equation of a hyperbola 9x² - 4y? – 72x+8y+176=0. (i). Formulate the standard equation...
Given an equation of a hyperbola 9x² - 4y? – 72x+8y+176=0. (i). Formulate the standard equation of a hyperbola. (20 marks) (ii). Calculate the coordinates of the foci and vertices. Determine the asymptotes. (20 marks) (iii). Sketch the hyperbola by using information obtained in part (i). and (ii) (10 marks)
s. Find the standard form of the equation for a hyperbola with foci (5, -8) and...
s. Find the standard form of the equation for a hyperbola with foci (5, -8) and (3 and vertices (4, -8) and (-2,-8). Sketch its graph. Find the standard form of the equation for a hyperbola with vertices at (-2,-5) and (-2, 7), and asymptote y x+4. Sketch its graph. 9.
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C)...
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C) y - 1 B) y--3 D) None Sketch the graph of the rational function. Indicate the equations of the vertical and horizontal asymptotes and the y-intercept. 40) f(x)* Vertical Asymptote: Horizontal Asymptote y-intercept 36) gix) x2 + 8x - 5 x-5 A) y - 5 C) None B) y = 0 D) y - 8 37)(x) x2.5 A) y = 0 C) None B)...
An equation of a hyperbola is given. x^2/16 - y^2/64=1. (a) Find the vertices, foci, and...
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...
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.
The equation of a hyperbola is 4x -(y+3) 9 a) Find the center, vertices, transverse axis,...
The equation of a hyperbola is 4x -(y+3) 9 a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola b) Use the vertices and the asymptotes to graph the hyperbola a) The center of the hyperbola isType an ordered pair.) The vertices are Type an ordered pair. Use a comma to separate answers as needed.) The equation of the transverse axis is (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below b) Choose...
Question 1 1. Given the equation 3x + 4y = 5, answer the following two parts...
Question 1 1. Given the equation 3x + 4y = 5, answer the following two parts for 5 points each. a. Is the slope of the line positive or negative? b. Using any point (x, y), as x increases in value, describe the value change in y.
Tara Carpenter 7/30/2020 Sluent DO&2 5424 w/ asymptote 3 x-4y=11, 3x+4y= passed pont (5,-2)' A) Find the equation of the given hyperbola B) Find the center iertices forci, eccentricist
y^2-3x-4y-1=0
3. Find the equation of the tangent line and the equation of the perpendicular line to the curve y? - 3x - 4y - 1 = 0 at (-2, 1) at the given point. 2 marks.
#47
51. 52. 39. Vertices: (+1, 0); asymptotes: y = 5x 40. Vertices: (0, 3); asymptotes: y = 3x Finding the Standard Equation of a Hyperbola In Exercises 39-48, find the standard form of the equation of the hyperbola with the given characteristics. 41. Foci: (0, +8); asymptotes: y = +4x 42. Foci: (+10,0); asymptotes: y = +x 43. Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 - x 44. Vertices: (3,0), (3, 6); asymptotes: y...
Given an equation of a hyperbola 9x² - 4y? – 72x+8y+176=0. (i). Formulate the standard equation of a hyperbola. (20 marks) (ii). Calculate the coordinates of the foci and vertices. Determine the asymptotes. (20 marks) (iii). Sketch the hyperbola by using information obtained in part (i). and (ii) (10 marks)
s. Find the standard form of the equation for a hyperbola with foci (5, -8) and (3 and vertices (4, -8) and (-2,-8). Sketch its graph. Find the standard form of the equation for a hyperbola with vertices at (-2,-5) and (-2, 7), and asymptote y x+4. Sketch its graph. 9.
Find the horizontal asymptote of the given function. 35) f(x) - 4x2.3 4x2.3 A) Y-3 C) y - 1 B) y--3 D) None Sketch the graph of the rational function. Indicate the equations of the vertical and horizontal asymptotes and the y-intercept. 40) f(x)* Vertical Asymptote: Horizontal Asymptote y-intercept 36) gix) x2 + 8x - 5 x-5 A) y - 5 C) None B) y = 0 D) y - 8 37)(x) x2.5 A) y = 0 C) None B)...
The equation of a hyperbola is 4x -(y+3) 9 a) Find the center, vertices, transverse axis, and asymptotes of the hyperbola b) Use the vertices and the asymptotes to graph the hyperbola a) The center of the hyperbola isType an ordered pair.) The vertices are Type an ordered pair. Use a comma to separate answers as needed.) The equation of the transverse axis is (Type an equation.) Determine the equations of the asymptotes. Choose the correct answer below b) Choose...
Question 1 1. Given the equation 3x + 4y = 5, answer the following two parts for 5 points each. a. Is the slope of the line positive or negative? b. Using any point (x, y), as x increases in value, describe the value change in y.
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