Solve the problem. A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y = 27 – x². Find the maximum area of the rectangle 54 O 108 O 162 O 81

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: A rectangle is inscribed in a parabola y^2 = 16x with the side of the rectangle along the latus…

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Q: AB is the Midsegment of The Isosceles Trapezoid WXYZ. Solve for the Length of AB * A X+3 Sy 4x-7

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Q: 10 – x?. A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola…

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Q: y = 6-x? (x, y) What is the area of the largest rectangle that has its base on the x-axis and its…

A: The area of the rectangle is l ×w so find the area and differentiate is one time and find the…

Q: 40 80 100 120 20

A: Find a quadratic equation to fit the photo of positive parabola.

Q: Solve the problems. Show illustration. 1.A closed box, with a rectangular base,whose length is twice…

A: Note :-  These are multiple questions and according to our compnay law we can do maximum one…

Q: 15 A bridge has a parabolic span as shown, w? with equation d = - + 200 800 where d is the depth of…

A: Given that parabolic spanwith equation d=-ω2800+200Solution:a. if function is even than ω is replace…

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: The parabola is y=6-x2

Q: Given the general form of a parabola x2+6x-24y+4=0, what is the x coordinate the vertex? h=_____.

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Q: Which way does the parabola open? (x+ 3 =4 y + 5). h drwn e laft d ninht aun

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1 x.…

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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: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 10 –…

A: The rectangle has its base on the x axis, with the length of the base 2x, and height of the…

Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x…

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Q: 2. Complete the square to rewrite each quadratic equation in the form f (x) = a(x – h)² + k Find the…

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Q: 19. Find the total area between the parabola y = x2 - 4x, the x-axis, and the ordinates x = -2 and x…

A: We can use integration to calculate the area

Q: A rectangle is bounded below by the x-axis and above by the parabola 36 − x2. Find the largest area…

A: Let the base= 2x and height = y = 36-x2 So, area=A= 2xy=2x(36-x2)=72x-2x3

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7-.…

A: Topic:- application of derivatives

Q: A rectangle has its base on the x-axis and its two upper corners on the parabola y = 12 – x. What is…

A: THE GIVEN QUESTION CAN BE SOLVED AS SHOWN IN STEP 2. Area of the Rectangle = Length × Width .

Q: A parabola has an equation of x²-4y-2x+8=0. Find the length of the latus rectum.

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Q: G A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y =…

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Q: = 2 – x2. What are the A rectangle is inscribed with its base on the x-axis and its upper corners on…

A: Given,

Q: 5.The axis of symmetry of the parabola is O A. X=9 O B. X=-2 O C. x=-9 O D. x=2

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Q: What is the axis of symmetry of the parabola f(x) = -2(x + 1)2 + 4? %3! X = -2 x = 1 Ox = 4 Ox = -1

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Q: 1. A rectangle has its base on the x-axis and its two upper corners on the parabola y= 12 – x. What…

A: The diagram for the given condition is shown below. 'A' lies on the parabola, y=12-x2 Coordinates…

Q: The parabola y = mx- (m+ 1)x + 2m-1 passes through the point A(2, 9). Find the value of m. %3D

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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: 5.Find the point on the parabola x? = 4y nearest to (0,4).

A: Given:      x2 = 4y    Point : ( 0 , 4 )

Q: Which of the following is the maximum area for the rectangular which has its two vertices on are the…

A: Consider the vertices lie on the x axis and the coordinates are (x,0) and (-x,0). Also the other two…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 25 -…

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Q: III. Transform the equation of the parabola to the standard vertex form by completing the square.…

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Q: Area of the trapezium whose vertices lies on the parabola y = 4x and its diagonals pass through (1,…

A: Here  The vertices lie on the parabola y2=4x and diagonal pass through (1,0) and diagonal length…

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x²+2x+3. If there is…

A: Given :y=-x2+2x+3

Q: What is the maximum value of the parabola shown? a. -3 b. (-1,7) x c. d. 1 7

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Q: 4. Identify the vertex of the parabola y = x? + 4x + 3. O (-2, –1) O (-2,3) O (2, -1) (2, 3) z2 - 2r…

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x+4x-5. If there is…

A: The given parabola is: y=x2+4x-5...(1)

Q: 4. Find the attributes for the quadratic function. Graph the parabola on the given grid. y =, (x +…

A: Given: The quadratic equation y=19 x+32-3 To determine: Attributes for the given quadratic equation…

Q: Find the vertex of the parabola by applying the vertex formula. 2. f(x) = 4x - 16x +3 The vertex is…

A: We can find the vertex as below

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: Vhich of these quadratics results in the skinniest parabola? O y = 4(x – 3)² +7 O y = -6(x+ 1)² O y…

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a)…

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:…

Q: AABC AWYZ. Solve for ... then find the length of YZ and AB. X = YZ = %3D AB = %3D A 3x-2 x+3 x+6 C…

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Q: 01 Write the equation of the parabola that intersects the X-axis at (-2,0) and (4. 0) in…

A: Solution: The objective is to write the equation of parabola that intersect the given points

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: Consider the function:

Q: The value of th the parabola opens

A: answer is in next step

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 11 –…

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´-8x+12. If there is…

A: