Find the area of the largest rectangle with one corner at the origin, the opposite corner in the first quadrant on the graph of the parabola f(x)=972-4x^2, and sides parallel to the axes. The maximum possible area is

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Graph the parabola y=(x^2-100x)/50

A: Graph the parabola y=(x^2-100x)/50

Q: If you are rowing a boat upstream, given the following equation that models your speed:…

A: f(x)=3x2-6x-13 Now, for any real value of x, this function(parabola) is defined. Hence the domain of…

Q: Find the Maximum height of h(x) = -4x^2 + 320x + 100.

A: The given height function is h(x)=-4x2+320x+100

Q: Given f(x)=-3x² + 12x-5. Find the following: a) The vertex ( b) The parabola opens ---Select--- Plot…

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Q: Determine the axis of symmetry of the graph of the following parabola. f(x)=5^x2+190x+19

A: To determine the axis of symmetry of the graph of the following parabola.

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: the area of the windscreen of a bus is 1.21m^2. In a photograph of the graph, the windscreen appears…

A: Given: The area of the windscreen of a bus is 1.21 m^2. In a photograph of the bus, the windscreen…

Q: A rectangle is inscribed in an ellipse given by the equation x^2/49+y^2/196=1. If (x,y) is a vertex…

A: NOTE: Refresh your page if you can't see any equations. . solve this equation for y the point…

Q: Please solve for the zeros in this equation as well as the vertex: h(t) = -4.5t^2 + 8.3t + 2.1. Show…

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Q: solve x^2-5x+6>=0 sketch the graph

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Q: rectangle with an area of (2x2-x2-30x+8) and width of (x-4)  finf the length?

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Q: The rectangular lot has a dimension of (3x+5) meters by (2x+4) meters. If the area is equal to…

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Q: the value of a in y=ax^2+bx+c and the vertex of the parabola are given. how many x-intercepts does…

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Q: How do I rewrite this quadratic function in the vertex form and what would be the vertex?…

A: Given:fx=5x2-25Vertex:h,k=-b2a, f-b2a