Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y = 8 – x².

Q: Determine the general equation of a parabola opening downwards whose vertex is at (3,-4) with a…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=6−x2.…

A: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=6−x2.…

Q: Find the point on the parabola x= - 2t, y = - 2t, - o <t< oo, closest to the point (- 32, – 1).

A: Let the point (x, y)=(-2t, -2t2) on the parabola be the closest point to (-32, -1) So distance…

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

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

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Q: 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two…

A: 7) y=ax2+10x+1 ...................eq (1) For parabola to cross the x- axis put y=0 0=ax2+10x+1…

Q: Find the vertex of the parabola. f(x) = 2x + 16x + 39 (х, у) %3

A: We have to find vertex

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

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

A: NOTE: Refresh your page if you can't see any equations. . width of the rectangle is  and the length…

Q: ,2 The vertex of the parabola of f(x)=x²+x is

A: Equation of the parabola :y=a(x-h)2+kwhere (h,k) = vertex of the parabola

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

A: We need to find length and width.

Q: = A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y -4x²…

A: Maximize area

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

A: Given that the rectangle has its base on x- axis and its upper two vertices on parabola let us take…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 6 –…

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

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Q: Identify the x-intercept(s) of this parabola. 10 8- 6- 4- -6 -2 2. 6 -4 O (3. 0)

A: x-intercept is the point where the graph crosses the x-axis.

Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

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Q: Find the x intercepts and the coordinates of the vertex for the parabola y = x^2 + 4x -21. If there…

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

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Q: A rectangle has its two lower corners on the xx-axis and its two upper corners on the parabola…

A: Topic:- application of derivatives

Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x²-8x+7. If there is…

A: The given equation is;  y=x2-8x+7.

Q: The area bounded by the parabola y2 = 4ax, its axis, and its latus rectum revolves  about the x-

A: The given equation of parabola is y2=4ax. The objective is to calculate the area bounded by the…

Q: find the general equation of the parabola with horizontal axis which crosses the x-axis at x=2 and…

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Q: Let f (x) = 1x² +6x+8. Find the x-coordinate for the parabola's vertex. Round your answer to the…

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Q: Prove that if a parabola crosses the x-axis twice, the x-coordinate of the vertex of the parabola is…

A: Since, we have to prove that if parabola crosses the x-axis twice, the x-coordinate of the vertex of…

Q: 8. Find the function that will generate the points on a parabola that opens down, has a base of 4…

A: A parabola has base 4 and height 6

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

A: first we have to draw the sketch of y = 1-x2 and draw a rectangle beneath it From the graph we can…

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: 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: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: We have to find the coordinates of the vertex for the parabola defined by the quadratic function…

Q: 2. Find the dimensions of the rectangle of largest area that has its base of the x-axis and its…

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Q: find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: The equation for a parabola is written in vertex form as, In vertex form the vertex is given as…

Q: Find the point on the parabola y=x2 closest to (6,3

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

A: First derivative of a function gives us the critical points at which maxima and minima occur but it…

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)…

A: The quadratic function is given by fx = 2x-32+1 To evaluate : The vertex of the parabola defined by…

Q: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

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Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

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

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Q: Find the area of the enclosed by the parabola y=x2-8x+15 and the x-axis .

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

A: The rectangle has its base on the x-axis and its other two vertices above the x-axis and lying on…

Q: Find the x intercept(s) and the coordinates of the vertex for the parabola y = x^2 – 2x + 1. If…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 9 − x…

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

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

A:

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

A: The given parabola is: y=x2+4x+4 To find the x-intercept and the coordinate of the vertex for the…

Q: Find the equation of the parabola whose vertex lies at (0,-2) and directrix at x=2

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 12 - x2. What…

A: First draw the situation roughly

Q: A rectangle sitting on the x-axis has its upper two vertices on the parabola y 9. 12x2. Find the…

A: To calculate the largest possible area of the rectangle. If the rectangle is sitting on the x-axis…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 9 –…

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