The solar electric generating systems at Kramer Junction,California,use parabolic troughs to heat a heat-transfer fluid to a high temperature.This fluid is used to generate steam that drives a power conversion system to produce electricity. For troughs 7.5 feet wide, an equation for the cross-section is   16y2=12x-225.                                                                                                                 .  (a) Find the intercepts of the graph of the equation. (b) Test for symmetry with respect to the x-axis,y-axis,and origin.

Q: Find the equation of the parabola and the length of the latus rectum with directrix y = -2 and focus…

A:

Q: Find the equation of the line tangent to the ellipse x + 3y 19 at the point (4,1). (Type an…

A:

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A:

Q: Find the standard form of the equation of th parabola with: and Focus (-2, 6) Directrix X = 8

A:

Q: An ellipse has the equation 16x² + 25y = 40O. Determine the equation of the tangent of the curve at…

A:

Q: Find an equation of the parabola whose graph is shown. y Directrix X = 4

A: Equation of directrix is  X=a

Q: How can we find the slope of the parabola y?

A: You can’t find the slope of the parabola y , because a parabola is not a line. You can find the…

Q: Find an equation of the parabola with vertex (-1, 3) and directrix y = -3. ローロ

A: Topic:- parabola equation

Q: Find an equation for the curve traced by the point P(x, y) if the distance from P to the vertex of…

A: First find the vertex and focus of x^2=4y

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: 2. Sketch and identify the graph of the equation a + y? – 2y –- 3 = 0 in 3D.

A: x2+y2-2y-3=0x2+y2-2y+1-4=0x2+(y-1)2=4The equation represents circle in 2D,but a cylinder of radius 2…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: First we have to calculate distance from directix to vertex. I.e P Then insert values of center and…

Q: Find the equation of a parabola having directrix y = -5.

A: if given equation of the directrix y= -a then equation of the parabola is  x^2 = 4ay

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3.

A: Given :          The equation of directrix of the parabola is x + 1 = 0          The length of the…

Q: A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does…

A: We have to find the value of k for which the line intersect the parabola at two distinct points. To…

Q: 2. Sketch and identify the graph of the equation a+y? - 2y-3 0 in 3D.

A:

Q: 6. What is the equation for the slope of the ellipse+-1 at 1 at (x₁, ₁)? A. B. C. D. E. y' = -21 y'=…

A:

Q: Find the equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: find an equation for the the parabola has its vertex at the origin and satisfies the given condition…

Q: 4. The equation of a family of circles with center an the y-axis is 5. The equation of a family of…

A: Topic:- geometry  Note:- as per our guideline if more than one question uploaded than only first…

Q: Sketch the parabola and line on the same graph. y = x2 + 5  and  y = 2x + 1

A: The equation of curves are  y = x2 + 5  and  y = 2x + 1

Q: Find equations for two lines through the origin that are tangent to the ellipse a- 8x +y + 3 =0.

A: We are asked to find the equation of two lines that are tangent to the ellipse.

Q: 3. Find the equation of the parabola with focus at F(3,2) and with the line x = -4 as directrix.

A: Topic- equation of parabola from focus ans directrix.

Q: Find the equation of the plane perpendicular to the y-axis and passing through the point (3,2,-2)

A:

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given: The parabola has its vertex at the origin and  Directrix has y - intercept 8. We have to find…

Q: A parabola has an equation of y² = 4x. Find the nearest distance from the point (-3, 6) to the %3D…

A:

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: We have Vertex=(0,0)Directrix x=-15

Q: 5. Find the equation of the hyperbola whose asymptotes are the straight lines x = 0 and y = 0 and…

A:

Q: Find an equation of the parabola that satisfies the conditions. a) Focus (0, -) and directrix, y =…

A: Given  Focus (0 , -1/2)  Directrix ,y = 1/2   Equation of parabola with focus at (x0 , y0) and…

Q: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

A: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…

A: Given parabola y=x2-10x+16                  ....(1)

Q: Find the point(s) of intersection of the parabola with equation y = x2 - 5x + 4 and the line with…

A: Given equations are,

Q: Graph the two parabolas y = x2 and y = −x2 + 2x − 5 in the same coordinate plane. Find equations of…

A:

Q: Suppose that two microphones 1500 m apart at points A and B detect the sound of a rifle shot. The…

A: We have the figure as:

Q: Write an equation for a parabola with focus of (-1,1) and directrix at y =-7

A:

Q: Find the equation for the parabola that has its vertex at the origin and has a focus at (18.1, 0).…

A:

Q: Suppose a golf ball is driven so that it travels a distance of 200 feet as measured along the ground…

A: Given:A golf ball travels a distance of 200 feet as  measured along the ground and reaches an…

Q: Find an equation of the parabola in standard form with focus at (3,0) and directrix x=-3

A:

Q: The equation of the line touching both the parabolas y = 4x and x' =-32y is x-2y+1 = 0, then a is

A: Introduction :

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.

A:

Q: Find the standard form of the equation of the parabola with the given characteristic and vertex at…

A: equation of parabola  (x - h)2 = 4p (y - k) where (h,k)=(0,0) vertex ordinates directrix y=3 , y= k…

Q: Assume the equation of a parabola and a line are given by y = x +2 x and y =3 x +6, respectively.…

A:

Q: Find an equation of the parabola with vertex (5, – 1) and directrix y = -4.

A:

Q: Find an equation of the paranola in standard form: with the vertex at V (2,-4) and directrix y= -5

A: Find an equation of the parabola in standard form: with the vertex at V (2,-4) and directrix y= -5

Q: Does the parabola y=2x^2-22x+3 have a tangent whose slope is -2? If so, find an equation for the…

A:

Q: find the orthogonal trajectory of family of parabolas represented by the equation…

A: To find orthogonal trajectories of  y2=4ax.

Q: Which is the equation of an ellipse with direcrices at x = =-4 and foci at (2,0) and (-2,0)

A: Center is the midpoint of the foci  midpoint of (2,0) and (-2,0) is : Directrix = -4

Q: Suppose a golf ball is driven so that it travels a distance of 200 feet as measured along the ground…

A: