x(t) = 1 + 2cos(t) y(t) = 2sin(t) t = [0, 2π] x(t) = -2- 7t y(t) = 6 + 4t te R x(t) = -2 + 5t y(t) = 6 - 2t t = [0, 1] 3. Parabola Opens Down 4. Parabola Opens Up 5. Parabola Opens to the Right 6. Parabola Opens to the Left 7. Right Hand Branch of a Hyperbola 8. Straight Line Segment 9. Straight Line

Q: 7(t) = a cost i + b sint j,0 <t < 2n is the parametric representation of... (a)circle (b)ellipse…

A:

Q: Find the vertex and directrix of the parabola. y2+14y+ 4x +45= 0…

A: Consider the equation of parabola, y2+14y+4x+45=0 To write the equation in standard form,…

Q: Tangents are drawn from the point 3,2 to the ellipse x\power {2} +4y\power {2}=9. Find the equation…

A: Given: Tangents are drawn from the point (3,2) to the ellipse x2+4y2=9

Q: 2) Foci: (2, –5 + V61), (2, –5 – V61) 20 5 Asymptotes: y ==x- 6 3 y-- 5 10 ソ=ーーX 6 3

A:

Q: 5) Find the unique quadratic curve (i.e. parabola) which passes through the following three points:…

A: We have to find the unique quadratic curve which passes through the following points:…

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: Find the value of Y for the hyperbola defined by the equation y² – x² = 7 at the point (3, 4). dx2

A: The equation is y2-x2=7. First find the value of dydx as follows.…

Q: 7. The level curves of f(x,y)=√36-4r² - 9y² are f(x₁80= √36 6- A. Sometimes parabolas and…

A:

Q: The parabola shown in the figure has an equation of the form y = ax² + bx + c -5 y 5 (2, 4), -5 -10…

A: The parabola shown in the figure has an equation of the form .The parabola passes through the points…

Q: Find the point on the hyperbola x²-9y² 9 where the line 5x + 12y = 9 touches it.

A: Solving                  5x+12y=9  or            y=9-5x12   and   x2-9y2=9  We have…

Q: What is the equation of the parabola that opens to the right and with vertex at (4,-2) and a latus…

A: Prabola

Q: (0,7) (12,14) (20,0), create a parabolic model H(x) in the standard form H(x)=ax+bx+c for the path…

A:

Q: The equation of the parabola y' = 4ax is in the standard form. FALSE O TRUE

A: The given equation of parabola is -  y2 = 4ax

Q: The vertex of the parabola given by the equation x2 = 20 y is O (0,0) O (4,5) O (0,5) O (4,0)

A: Vertex of the parabola

Q: Find the equation of the hyperbola centered at the origin with vertices (6,0) and (-6,0) and…

A:

Q: formed by points of intersection of ellipse (B) Area of quadrilateral 2 2 x² + y² - xy + x - 4y - 12…

A: Given,  x2+y2-xy+x-4y-12=0 We have to find the area of quadrilateral formed by points of…

Q: 2. Where do the asymptotes intersect for the hyperbola y = -3 / (x + 2 ) -6 %3D O (-18, 6 ) O(-3/2,…

A: A rational function will have a vertical asymptote where the denominator of the rational function is…

Q: Excercise 77 Find the equation of the tangent line y? = 1 at P(2, –3), 12 r2 (i) to the ellipse 16

A: Since you have asked multiple questions in a single request, we would be answering only the first…