4. Identify and sketch the conic sections and quadratic surfaces of equation Q(x) - 1, when Q(x) ...
4. Identify and sketch the conic sections and quadratic surfaces of equation Q() when Q(r) is a quadratic form defined by one of the following matrices (b)1 2 1 (c)0 0 0 3 0 -1 2 4-3 (d)4 1 3 3 3 -1 2 4
1.) Put the conic in standord form by completing the square, please identify which conic it is, and then graph the conic section. Also label each relevant point or asymptotes. Sketch your x - y axis and the conic, and labl the scale on the axes. example sketches: 2.) c. -9x2 + y2 – 72x – 153 = 0 Ex. 1 Sketch (x-5) V =2 center: (5,2) radius: 2 Center , horizontal: 2 units left/right 3 units up/down (1,3) 13,0)...
Would really appreciate your help with this question. I thumbs up always 7) Conic sections stuff! a Sketch the following conic section AND find an equation of the conic section that satisfies the given information Ellipse, center(1,3), vertex(1,0), focus(1,5) b. Find the eccentricity, identify the type of conic, find the orientation (vertical or horizontal), and give the equation of the directrix. 3 2 + 5 sin(0)
1. Identify the conic section, convert to standard form, and then give a rough sketch (a) x? - 9y2 - 2x - 36y - 44 = 0
CONIC SECTIONS Graphing a hyperbola given its equation in standard form v + Х Graph the hyperbola. please box where to put points (y+4) (x-5) 1 25 16 14 0 3 UN P 12
Investigation 4: Quadratic Equations The quadratic equation is typically written in the form and has the solution 2a In this Investigation, we will look at a number of equations, rearrange them to be in this form, and identify which variables correspond to a, b, c, & x in the definition above. Activity 1-8: For each of the expressions, do the following Is it absolutely necessa ry to use the quadratic equation to solve the expression? . egardless of whether you...
6. Consider the function Q(z) = Az[+ B2:1x2+ Cr where A, B, and C are numbers not all zero, = 0 and the level sets of the associated quadratic form; and recall the well-known classification rule for conic sections by the discriminant (B2 -4AC): if B2 - 4AC < 0, then the conic is an ellipse; if B2-4AC = 0, then the conic is an parabola; and if B2-4AC > 0, then the conic is a hyperbola. (a) Complete the...
10.(5 points) a). Find the eccentricity; b) identify the conic; c) give an equation of the directrix; d). sketch the conic. 7+5 sine
8) 4 Complete the square to transform the quadratic equation into the form (x - p)2-q. x2-12x-5=7 A)(x-36)2-9 B) (x 6)2-48 (x 36)2 -9 D) x-6)2 - 48 D)
1(a) Find the square roots of the complex number z -3 + j4, expressing your answer in the form a + jb. Hence find the roots for the quadratic equation: x2-x(1- 0 giving your answer in the form p+ q where p is a real number and q is a complex number. I7 marks] (b) Express: 3 + in the form ω-reje (r> 0, 0 which o is real and positive. θ < 2π). Hence find the smallest value of...