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- Use the Factor Theorem to show that x- cis a factor of Px) for the...
Write down the equation of given parabola x? +8x+4y+12 =0 in standard form. State the vertex,...
Write down the equation of given parabola x? +8x+4y+12 =0 in standard form. State the vertex, focus and the equation of the directrix. Hence, sketch its graph. 4. Show that y² + 4y +8x + 12 = 0 represents a parabola. Hence, determine its focus, and directrix. [4 marks]
9. A parabola is modeled by the general equation (y-n)2 = 4p(x -k). Which statement below...
9. A parabola is modeled by the general equation (y-n)2 = 4p(x -k). Which statement below is not true about the parabola? The distance from the vertex of the parabola to the directrix of the parabola is equal to the distance from the vertex of the parabola to the focus of the parabola. The vertex of the parabola is located midway between the focus and the directrix of the parabola. A unique parabola can be defined by a line segment...
Write an equation of the parabola shown Ау directrix 5 N x = -3 vertex 10...
Write an equation of the parabola shown Ау directrix 5 N x = -3 vertex 10 -4 2. 4 X N -4 An equation of the parabola is
63 only Using the Factor Theorem In Exercise use synthetic division to show that x is...
63
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Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
5. Use the Factor Theorem to determine if - 3 is a root of h(x) =...
5. Use the Factor Theorem to determine if - 3 is a root of h(x) = x3 – x2 + 27. Do not use synthetic division 6. Write a fourth-degree polynomial f(x) that has roots -2, -5,3 7. Without using your calculator, but by using the change of base equation, show me step by step how to find log, 200 in terms of logarithms with base 10
For the given Parabola (y-5)=16(x+2)^2 , determine: a. vertex b.P c. focus d. equation of directrix
For the given Parabola (y-5)=16(x+2)^2 , determine: a. vertex b.P c. focus d. equation of directrix
Use the remainder theorem to find the remainder when f(x) is divided by x - 3....
Use the remainder theorem to find the remainder when f(x) is divided by x - 3. Then use the factor theorem to determine whether x -3 is a factor of f(x). f(x)#3x3-12x2 + 10x-3 The remainder is
o1 points 1 Previous Answors LarPCalc8 10.2.012. 1. Describe in words how a plane could intersect with the...
o1 points 1 Previous Answors LarPCalc8 10.2.012. 1. Describe in words how a plane could intersect with the double-napped cone shown to form the conic section. (Select all that apply.) Hyperbola e The plane intersects both the top and bottom of a double-napped cone. The plane is perpendicular to the axis of the cone. e The plane intersects only the top or bottom half of a double-napped cone. The plane is parallel to the axis of the cone. The plane...
1. Rewrite the given equation in standard from, and then determine the vertex (V), focus (F),...
1. Rewrite the given equation in standard from, and then determine the vertex (V), focus (F), and directrix (d) of the parabola. a. b. x==y2 36 c. y2 - 6y + 12x - 3 = 0
PLEASE ANSWER ALL PROBLEMS CORRECTLY. THANK YOU! PROBLEM 1 PROBLEM 2 PROBLEM 3 PROBLEM 4 Write...
PLEASE ANSWER ALL PROBLEMS CORRECTLY.
THANK YOU!
PROBLEM 1
PROBLEM 2
PROBLEM 3
PROBLEM 4
Write a polar equation of a conic with the focus at the origin and the given data. parabola, directrix x = 7 Write a polar equation of a conic with the focus at the origin and the given data. hyperbola, eccentricity 5, directrix y = -4 Consider the equation below. 1+ sin(0) (a) Find the eccentricity. e = (b) Identify the conic ellipse parabola hyperbola...
Write down the equation of given parabola x? +8x+4y+12 =0 in standard form. State the vertex, focus and the equation of the directrix. Hence, sketch its graph. 4. Show that y² + 4y +8x + 12 = 0 represents a parabola. Hence, determine its focus, and directrix. [4 marks]
9. A parabola is modeled by the general equation (y-n)2 = 4p(x -k). Which statement below is not true about the parabola? The distance from the vertex of the parabola to the directrix of the parabola is equal to the distance from the vertex of the parabola to the focus of the parabola. The vertex of the parabola is located midway between the focus and the directrix of the parabola. A unique parabola can be defined by a line segment...
Write an equation of the parabola shown Ау directrix 5 N x = -3 vertex 10 -4 2. 4 X N -4 An equation of the parabola is
63
only
Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
5. Use the Factor Theorem to determine if - 3 is a root of h(x) = x3 – x2 + 27. Do not use synthetic division 6. Write a fourth-degree polynomial f(x) that has roots -2, -5,3 7. Without using your calculator, but by using the change of base equation, show me step by step how to find log, 200 in terms of logarithms with base 10
Use the remainder theorem to find the remainder when f(x) is divided by x - 3. Then use the factor theorem to determine whether x -3 is a factor of f(x). f(x)#3x3-12x2 + 10x-3 The remainder is
o1 points 1 Previous Answors LarPCalc8 10.2.012. 1. Describe in words how a plane could intersect with the double-napped cone shown to form the conic section. (Select all that apply.) Hyperbola e The plane intersects both the top and bottom of a double-napped cone. The plane is perpendicular to the axis of the cone. e The plane intersects only the top or bottom half of a double-napped cone. The plane is parallel to the axis of the cone. The plane...
1. Rewrite the given equation in standard from, and then determine the vertex (V), focus (F), and directrix (d) of the parabola. a. b. x==y2 36 c. y2 - 6y + 12x - 3 = 0
PLEASE ANSWER ALL PROBLEMS CORRECTLY.
THANK YOU!
PROBLEM 1
PROBLEM 2
PROBLEM 3
PROBLEM 4
Write a polar equation of a conic with the focus at the origin and the given data. parabola, directrix x = 7 Write a polar equation of a conic with the focus at the origin and the given data. hyperbola, eccentricity 5, directrix y = -4 Consider the equation below. 1+ sin(0) (a) Find the eccentricity. e = (b) Identify the conic ellipse parabola hyperbola...
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