Hi I am studing multivariable calculus and I am asked to write down the parametric equation for the conic sections. I know, you are probably thinking " just do a google search". However, it is not totally out there on the web for all the cases. I would please like it if you could write down form the parmetirc equation of a conic section for both the vertical and horizontal categories. Thanks should be an easy thing to do ;)

Hi I am studing multivariable calculus and I am asked to write down the parametric equation for t...
Determine if - - 1 is a hyperbola and if it is, which type it is. The transverse axis is 16 36 (z - h)2( - k) Horizontal or b2 (y - h)2( -k) Vertical: 9 Ca Horizontal Vertical Not a Hyperbola If it is a hyperbola, write the equation of the hyperbola in its standard form. If it is not a hyperbola, leave the rest blank. Sketch a graph of 4z2-y -6 15/18 Determine whether the given equation is...
3) Consider the equation of the conic below. (4 pts) a. Determine which conic This equation represents. State the conic and explain your decision 3x² + 2y? - 15x + 20y - 4 = 0 Rewrite this equation with a minor change so that the equation now represents the following conic b. circle c. hyperbola d. parabola 1) Use the animation mentioned earlier on page 910 to create two graphs of two ellipses using the instructions below. (3 pts each)....
Question 15 O pts Each equation below represents a conic section. Write the name of the corresponding type of conic. Explain how you know if it is a circle, ellipse, hyperbola or parabola. a) 1 25 9 b) y2 + 6y + x - 6 = 0 c) x² + y2 100 a) ? 9 b) y? – 6y + 2 – 6 – 0 c).x2 + y2 100
13. [-/1 Points) DETAILS LARCOLALG10 4.4.038.MI. Find the standard form of the equation of the parabola with the given characteristics. Vertex: (-6, 3); directrix: x = 1 14. [-11 Points) DETAILS LARCOLALG10 4.4.012. Identify the conic. Then describe the translation of the conic from standard position. (x + 5)2 + (y - 4)2 = 20 circle; horizontal shift 5 units to the left and vertical shift 4 units up circle; horizontal shift 4 units to the left and vertical shift...
PLEASE SHOW WORK
Question 15 O pts Each equation below represents a conic section. Write the name of the corresponding type of conic. Explain how you know if it is a circle, ellipse, hyperbola or parabola. a) y? 9 1 25 b) y2 + 6y + x - 6 = 0 c) x2 + y2 = 100
11. 4 12 Match each equation with the name of the conic, its eccentricity and equation of directrix: Your answer should contain one letter from each column. [18pts) H. 4 T. X=-3 12 (a) r= A. Circle 3 J. U. y = 6 2-3cos 3 B. Ellipse K. W. y= 2 6 C. Hyperbola L. X. x = -4 8-8sin 2 D. Parabola M. 3 Y y=-12 18 (c) E. Cardioid 3 Z. y. 4+3 sin 2 R 1 (b)...
2. (15) Give the standard form equation of the parabola with vertex = (1,2) and focus = (3, 2) b. the ellipse with center (-1,3), a focus at (-1,7) and a major axis point (1,8) c. the hyperbola with foci at (3,3), (3,-7) and vertices at (3,1), (3,-5). 3. (12) Identify the conic section and complete the square to give the standard equation given 3x2-10y +36x -20y+38 0 is 3 (24) Given the parametric equations x-Y-2, y-t,-2 4· a. Sketch...
1) Rewrite the following equation in standard
form
2) Which equation would represent a parabola opening
to the left?
3) Which of these best decribes the graph represented
by the equation above?
Rewrite the following equation in standard form: -16x2 + 160x +9y2 – 108y – 220 = 0 W (7-6) (x-5) = 1 9 16 (y-6) ² (x-5) o -1 16 9 (x-5)2 (y-6) 9 = 1 16 (x-5) (-6) 1 o 9 16 Which equation would represent a...
I need help doing this in MatLab please!
The parametric equation for an ellipse centered at (h, k), whose major and minor axes are parallel to the x and y axes, is x =h+a.cos 0, y =k+b.sin o . Create a function that will plot the entire ellipse, given the inputs h, k, a and b. Use the function to obtain the plot for the case h=-2, k=4, a = 1, b = 2.
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U!
1.) Which of the following parametric equations are equivalent to
the polar equation r(theta) = cos(theta) cot(theta)?
A) x = sin^2(theta) and y = sin^2(theta) cot(theta)
B) x = cos^2(theta) and y = cos^2(theta) cot(theta)
C) x = cos^2(theta) cot(theta) and y = cos^2(theta)
D) x = cos(theta) cot(theta) and y = cos(theta)
2.)Which describes the parametric equations x = 2t and y = 4sin
t?
A) y = x^2 + 2...