.כ Find the ared of a parabola which is inscribed in a rectangle 40 cm long and 25 cm wide.

Q: Farmer Jones and his wife, Dr. Jones, decide to build a fence on their farm. Because Dr. Jones is a…

A: Given: The farmer and his wife decide to build a fence on their farm in the shapes of the parabolas…

Q: Find the vertex of the parabola Y= 6X^2.+24X + 18 O (6, 2) O (2, 6) O (2,-6) O (2, 6)

A: We have to find

Q: Find the length of a,b,c of the hyperbola: y^2-x^2=1

A: The given equation of hyperbola is: y2-x2=1

Q: Consider the hyperbola 85.3166x² – 4y² = 1365.07. -

A: We have to find the foci of the given hyperbola.

Q: Let P and Q be distinct points on the parabola y = 2r such that a circle with PQ as diameter passes…

A: The given equation of parabola y2=2x Let P and Q be points on the parabola  Parametric coordinates…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 12 –…

A:

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: Find the largest area possible for a rectangle inscribed between the parabola y = 9 – x² and the x-…

A:

Q: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

A: The intersection of a plane and a double napped cone is known as conic sections.If the set if…

Q: Find the vertex of the parabola by applying the vertex formula h(a) = 6a?+ 16 O (1/12, 385/24) (0,…

A: First I have written the formula of vertex of a parabola and then by using the formula find the…

Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A: General Equation of Parabola : y-k2=4p(x-h) --(1) Where (h,k) is the vertex of the parabola Focus is…

Q: Any point on the parabola can be labeled (x, y), as shown. 4 3 2 (*, y) ¢ -6 -5 -4 -3 2 - 1 2 3 4 5…

A: According to figure equation of parabola in standered form X2=4bYnew equation of…

Q: A rectangle is inscribed in the parabola y=8– x - such that one side lies on the x-axis and two…

A: Answer

Q: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

A:

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 9) are

A:

Q: Find the area of the s and the parabola

A: Given curves are: x2+y2=2xy2=x Then the points of intersection of the above curves are obtained…

Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

Q: In te ypane, the gaph of the eqation x*+4y + 4x + 24y + 24 = 0 is a circle O an ellipse O an…

A: The solution is given as

Q: Which of the following is an endpoint of the latus rectum of the parabola with vertex (4,-2) and…

A: Topic= Parabola

Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A:

Q: 26. Find the area of the largest rectangle that can be inscribed in the ellipse x²/a² + y°/b² = 1.

A: Topic- application of derivatives to find maximum area

Q: 1. The circle, the ellipse, the hyperbola, and the parabola are categories of sections.

A: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

Q: Find the length of the latus rectum of the parabola with equation x² – 4x – 16y +116 = 0. latus…

A:

Q: Find the shorted distance from the point A(2, to a point on the parabola y = x². And find the point…

A: Let (x,y) = (x,x2) point on the parabola is closest to A Distance between (2 , 1/2) and (x,x2) is:…

Q: Given the point P =,(a,b) in the first quadrant, find the downward-opening parabola that passes…

A:

Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A:

Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

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

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Q: Define the term parabola?

A: Given: The term parabola.

Q: Find the area of the ellipse given that the length of the semi-major axis of 99 and the length of…

A:

Q: of the parabola. (to 3 places If he +

A: We have to find the following given conditions

Q: 16. Which equation represents the given parabola?

A: We want to find the equation of given parabola.

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

A:

Q: ow that, the equation 3x -y + 5x – 2 = 0 repr ngent at the vertex, directrix, latus rectum, len…

A:

Q: What is the largest possible area of a rectangle inscribed in the region bounded by the parabola y =…

A: According to the figure, we have

Q: 19. State whether the graph of the equation below is an ellipse, circle, parabola, or hyperbola. 2x…

A:

Q: A rectangle is inscribed with its base on the ?x-axis and its upper corners on the parabola y=2−x^2.…

A: Given, The equation of the parabola is y=2-x2

Q: How long is the latus rectum of the parabola y? + 3x – 12 = 0? O 12 6. 3. 3/4

A: Converting the equation to standard form

Q: Find the length of the latus rectum of the parabola x2 = 4py. Then find the length of the parabolic…

A: Given , Equation of parabola  x2 = 4py     Comparing with the Standard Equation of Parabola  x2=4ay…

Q: 10) Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola: 4x2 + 25y2 +…

A:

Q: Show that the envelope of the family of circles whose diameters are the double ordinates of the…

A:

Q: 10. Find the area of the largest rectangle that can be inscribed in the ellipse 16x2 + 36y² = 576.

A:

Q: 5) Write the equation of the given parabola in VERTEX FORM.

A: Given that: Graph of a parabola.

Q: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…

A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…

Q: How long is the latus rectum of the parabola y? + 3x – 12 = 0? O 12 O 6 4 O 3

A: The given parabola is: y2+3x-12=0

Q: Find the shortest distance of the point (6,3) to the parabola y=x2

A:

Q: A pambolk is epening dowawarel bluays har ine a length of latus rectum cqual to 4. The Ventex of…

A: Given: The curve at  infinity is parallel  to  y- axis are the vertical asymptotes and vertical…

Q: Find the vertex and length of the latus rectum for the parabola. y = (x - 2)2 - 9 Vertex: (x, y) = (…

A: Topic = Parabola