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 a parameterization c(t) for the curve y=x^2 where c(0)=(3,9) I recognize this as a parabola…

A: y = x2Let's assume x = t + aThen y = (t + a)2

Q: 4. Which line is the horizontal asymptote for the hyperbola y = 6/ ( x - 5 ) + 9 y = 9 X = 5 y= -6/5

A: given,     the parabola y=6x-5+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: 1. (a) Suppose u = 3î+2j-1k and v= 0î+ 55+7k. Simplify the single expression: (u.v) (ux v) (b) Write…

A: We have to solve one question Please repost other questions again

Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

A:

Q: The family of parabolas with vertex and focus on the y-axis. A B C D y'- xy'' = 0 xy'-y "=0 xy"'-…

A: The general equation of the parabola with the vertex and focus on the y axis can be defined as:…

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: 12.) For the parabola y=-- -x², determine the focus. 4. a) (-1,0) (b) (0,–1) (c) (-4,0) (d) (0.-4)…

A: We can find the coordinate of center from the equation of parabola as below

Q: 17. If the focus of the parabola is (-2, 1) and the directrix has the equation x + y = 3 then the…

A: Given Focus of parabola f (-2, 1) Equation of directrix is x+y =3   Here the objective is to find…

Q: 3 X -2 -1 0 1 2 y = 2x² - 4 y 12 X ^ -4 12. sy Is the point (5, 46) on this parabola? Justify your…

A: Given:Parabola, To Find: To complete the table and to graph the parabola.To determine whether the…

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: How would you convince someone that y = (x + 3)2 is the basic parabola moved 3 units to the left but…

A: we have to tell how would we convince someone that y = (x + 3)2 is the basic parabola moved 3 units…

Q: Find the y-intercept and any x-intercept(s) of the parabola with equation y = -(x + 7) + 16. If the…

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: A parabola has a focus of F(2,−0.5)F(2,−0.5)and a directrix of y=−1.5y=−1.5. P(x,y)P(x,y)represents…

A: Let (x, y) be any point on the parabola. So, the distance between (x, y) and the focus will be :

Q: Find an equation of the hyperbola with vertices (0, -4), (0, 4) and asymptotes y = ±x. Select one:…

A:

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…