17.When the plane intersects a circular cone at an angle that is parallel to the edge of the cone, the shape formed is a circle. A.False B.True 18. A parabola with the equation  (y−k)2=4p(x−h)  has an axis of symmetry y=k , vertex at (h,k) and  p  as directed distance from the vertex to the focus. A.False B.True 19.  The circle represented by the equation  x2+y2=1 passes through the origin. A.False B.True

Q: The vertex of the parabola is (4, 0), and the directrix is x = 0.25. Which form does the equation of…

A: Solve the

Q: b) Consider now the portion of the parabola which is below the line y = 2. Which points have the…

A:

Q: What is the point on the parabola y = x? that is closest to the point (6,3), and what is the minimal…

A:

Q: Choose the equation that represents the graph of the quadric surface below 3. 21 O z = 4 - 5y2-92 O=…

A: From graph we see that the quadric surface represents a paraboloid whose axis is y-axis Here 1st…

Q: 2. Circle the parabolas that are stretches of the graph y = x². а) у3 1.25х? c) y = – x? b) y = 0.25…

A:

Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). If the parabola is…

A: According to question given that  y=x2, vertex is (5,-4)

Q: A line r will be tangent to a hyperbola H if the intersection between r and H consists of a single…

A: Given the equation of hyperbola    25x2-16y2=400 and the equation of a tangent line is  y=mx-1

Q: Show that the center of the osculating circle for the parabola y = x2 at the point (a, a2) is…

A: We need to show that the centre of the osculating circle for the parabola y = x2 at the point (a,…

Q: Q- fiad theare eaclosed by the given curve 1- The parabola x = —y? and the line y = x + 2 2 The…

A:

Q: Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. 1 O f(x) -(x –…

A: Given query is to find the equation of parabola.

Q: Find the minimum distance from the point (2, 4, 10) to the paraboloid given by the equation z = x +…

A:

Q: Q3) Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z2…

A: Given that: Equation of hyperbola is-             x2-y2=1

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A:

Q: Match the equations of the surface with the graphs below. D 1. z2 + 4y? + 922 = 1 |2. z2 – y? +22 =…

A: We need to match graphs.

Q: 4.The parabola opens O A. upward O B. forward O C. backward O D. downward

A:

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A: Centerville is located at (15,0) in the xy-plane, Springfield is at (0,3), and Shelbyville is at…

Q: Show that line d:3x-4y-5=0 is tangent to hyperbola H:x2-4y2=5 and find the point of contact of the…

A:

Q: The graph of x2+y2+z2-14y=0 is a sphere. what are the center and radius of the sphere?

A: Given    Equation of sphere  x2+y2+z2-14y=0To calculate:-     Center  and  radius  of the sphere.

Q: 6. In Section 12.5, you learned that the distance from a point (ro, Yo, zo) to a plane ax+by+cz = d…

A:

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A: The given data: Distance of the point (x, y) from (3, 4) = Distance of the point (x, y) from the…

Q: 1. Find the minimum and maximum values of f(x,y) : = x²y on the ellipse 4x? + 9y? = 36. %3D

A:

Q: 3. Fit a second degree parabola y = ax? + bx + c to the following data %3D 3. 4 y 1 1.8 1.3 2.5 6.3…

A:

Q: 5. What is the standard for equation of a parabola with its vertex at (0,0) and a directrix of x-3?…

A: Given: A parabola has vertex 0, 0 and directrix x=3      ……1   To find: Equation of parabola

Q: Let F(r, y) = (x + 1)7, and let C be the portion of the parabola y = x² that starts at (0,0) and…

A:

Q: 4 SKetch the parabola and label the foces , ventees and dineder 2. 4 -6y -2utl=0

A: To find- Vertex, focus and directrix of a given parabola.

Q: c. Choose the correct description of the level curves of f(x,y) = In (3x? + 3y?). O A. Circles B.…

A: To find the level curves of the function fx,y=ln3x2+3y2.

Q: 2. Consider the equation r = 4 – y². (a) Find a parameterization of the segment of this parabola…

A:

Q: The equation of the sphere with center (9,-6, 10) that touches that -axis is OA (x - 9)? + (y +6)* +…

A: The general equation of the sphere with center (a, b, c) is given by (x-a)2 + (y-b)2 + (z-c)2 = r2…

Q: ... 17 classroom.google.com @ Trainl 7. A cross-section of an irrigation canal is a parabola. Ifthe…

A:

Q: Consider the diagram below in a two dimensional Cartesian x-y plane. The parabola is given by the…

A: we will use symmetry of given figure about y-axis and condition of quadratic equation to find…

Q: 1. Which is the equation of a parabola that is concave down with a y-intercept of 5? 1. y -+ 5x +1…

A:

Q: 1. If y varies indirectly as a, and y = 3 when a = 4, what is y when a = 6? %3D y = 2 y = 1 y = 4 y…

A:

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: 4. Find the equation of the parabola P with focus F = ( 1,1) and the directrix D: x + y = 0 shown in…

A: --------------------------------------------------------------- dQ,F = dQ,DWhere, dQ,F =…

Q: Which of the following represents a parabola with vertex at (4, -2) and focus at (4, 4)? O A. (x -…

A:

Q: The filament lightbulb is a thin wire that glows when electricity passes through it. The filament of…

A: Given: The given reflector is 7 inches wide and 2 inches deep i.e. (x,y)=(2,3.5)

Q: The value of y dæ – x dy where C is the portion of the parabola y = x² – 1 from (0, –1) to (-2, 3)…

A:

Q: Choose the equation that represents the graph of the quadric surface below 3 O y = 4 – 5x² – 922 O I…

A: We have given a quadric surface. It is asked to find the equation of the surface from the given…

Q: Evaluate y ds, where C is the parabola r (3t2, 3t), for 0 <t< 1. %3D

A:

Q: 9. Find the center and radius of the sphere given by 3x + 3y? + 3z2 = 10 + 6y + 12z.

A:

Q: At what point does the normal to y = 2x2 – (3 + 2x) at (1, –3) intersect the parabola a second time?…

A: Given: y=2x2-3+2x Point: 1,-3 Objective is to find the point where the normal to y=2x2-3+2x at…

Q: 3- The parabola y= ax'+bx+c, mean that the cquation y = ax is .........

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A:

Q: 1. Which of the following best describes the graph of y = x? – 4x + 2? a parabola with a vertex at…

A:

Q: Two parabolas are given: - C₁ is the curve of intersection between y = 1-2² and 2 = - C₂ is the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 10. Draw the parabola with the following conditions a) A zero at (1, 0) the vertex at (3, -4) and y…

A:

Q: I For the parabola -2x = 16y + 4y² + 13, for what value of y does x have a minimum? 3. If the

A:

Q: Considering the statements below, classify them as true (V) or false (F): I. About the parabola of…

A:

Q: 13–16 Show that the equation represents a sphere, and find its center and radius. 13. х2 + у? + z? —…

A:

Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). I If the parabola is…

A: Let's see a concept of stretch of function y=f(x). Say y = f(x) is parent function.