A rectangle has its base on the x-axis and its two upper corners on the parabola y = 12 – x. What is the largest possible area of the rectangle? A (x) = A' (x) = Maximum Area is

Q: What is the nearest distance from the point P(6,0) to the parabola? y^2=8x

A: GivenP(6.0)y2=8x To find nearest distance

Q: The projected population of a small city t years from now is given by P(t) = 40t^3 - 270t^2 + 18000.…

A: The projected population after t years is given by,P(t)=40t3-270t2+18000

Q: If the total cost for a lamp is C(x)=250+33x+0.1x^2 dollars, producing how many units, x, will…

A: If the total cost for a lamp is C(x)=250+33x+0.1x^2 dollars, producing how many units, x, will…

Q: X, Y interceptes and graph the function  f(x)=-(x-2)^3+1

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Q: 13) Find the points of intersecti on of the parabola and the line. y=2x^2-3x-1 and y=x+5

A: Equate the equations with each other and solve for x to find the point of intersection .

Q: Sketch the graph of quadratic surfaces. Y=(x^2+3z^2)^(1/2)

A: We need to plot the surface: y=x2+3z2.

Q: I need to find the vertex, y-int, x-int, a maximum/minimum and sketcha graph of this equation:…

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Q: LL' is the latus rectum of the parabola y a double ordinate drawn between the v rectum. Show that…

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Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b…

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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: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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Q: f(x)=-4x+2/(x+1)^2(x+5) Sketch the graph label the xintercepts and the y intercept.

A: Given that, the function is fx=-4x+2x+12x+5.

Q: Two variables x and y are related by the equation x+y=2.Find the maximum value of z where z=3xy^2

A: Given x+y=2x=2-y We need to find the maximum value of z=3xy2z=3(2-y)y2z=6y2-3y3 It has a maximum…

Q: Determine all the points, nearest to the point (0.0.2) on the following graph: 3x^2 + 2y^2 -z = 0

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Q: A rectangle is constructed with its base on the x-axis and two of its vertices on the the parabola y…

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Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: A rectangle is bonded by the X axis and the Parabola f(x)=16 - 0.25x^2. What length and width should…

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

Q: Evaluate dx. Do not include +C in the answer.

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: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…