Find the largest possible area of an isosceles triangle with two vertices in the curve y=4-x^2 and the final vertex at the origin

Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = x2 - 4x + 3, 0 ≤ x ≤…

A: We first sketch the region using a graphing calculator.

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A: We will find the slope

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A: The given curve is y=9-x2

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Q: There is a line through the origin that divides the region bounded by the parabola y=4x−6x2y=4x-6x2…

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Q: A 10 meter long ladder is placed against a tall vertical wall to make a right-angled triangle. Find…

A: Maximum value of perimeter will be

Q: There is a line through the origin that divides the region bounded by the parabola y = 2x and the…

A: Answer

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A:

Q: A poster of area 6000 cm2 has blank margins of width 10 cm on the top and bottom and 6 cm on the…

A: Let x and y be the length and width of poster in cm.  Area of poster is 6000 cm2 ,so we have

Q: A fence is to be built around a rectangular area of 36 square metres beside a building where one of…

A: Let x be the length and y be the width of the rectangle One side of the rectangle have no fence. So…

Q: is this question talking about a rectangle within a rectangle?

A: Find the dimensions for the whole poster.

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A: Given that  sheets of aluminum that are 12 inches wide by using a machine that turns up the edges to…

Q: A rectangular field of fixed area is to be enclosed and divided into five lots by parallel to one of…

A: To find the dimensions to obtain minimum fencing

Q: There is a line through the origin that divides the region bounded by the parabola y = 3x – 4x² and…

A: The given equation of the parabola is,

Q: A right triangle whose hypotenuse is sqrt3m long is revolved about one of its legs to generate a…

A: In the question it is given a right angled triangle with the length of the hypotenuse as 3m. The…

Q: A farmer wants to secure a certain part of his land. Calculate the maximum area of a rectangular lot…

A: Given: total length of fencing material of rectangular plot = 1000m

Q: 3. What is the height of the right circular cylinder with greatest volume that can be inscribed in a…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the triangle whose perimeter is constant and has the largest area using Lagranges Multiplier…

A: Perimeter of triangle = Constant  Area of triangle = maximum

Q: A rectangular piece of paper with a perimeter of 100 cm is to be rolled to form a cylindrical tube.…

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Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 16 and with its…

A: A rectangle is constructed with its base on the diameter of a semicircle with radius 16 and with its…

Q: piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 30 and with its…

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Q: A rectangular garden is to be constructed using a rock wall as one side of the garden and wire…

A: Fencing = 76m, Since, perimeter of the given rectangle=2x+y and, fencing = perimeter Then,…

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Q: A one compartment vertical file is to be constructed by bending the long side of an 8 in. by 14 in.…

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Q: There is a line through the origin that divides the region bounded by the parabola y 7z 5x and the x…

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Q: Find the area between the curves -4x + y = 16 and -2x2 = -y+ 10.

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Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - √x, 0 ≤ x ≤ 4

A:

Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 21 and with…

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Q: A poster of area 6000 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

A: SOLUTION-

Q: Find the dimensions of a rectangle of maximum area inscribed in a circle of radius 4. (Must show…

A: Let ABCD be the rectangle inscribed in the circle of radius 4. AC and BD are the diameters of length…

Q: What is the minimum average cost if total cost is TC = Q - 12Q2 + 640 ?

A: The given total cost  TC = Q3 - 12Q2 +640

Q: . Find the maximum area of a rectangle inscribed in a semicircle  of radius 5 inches if its base…

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Q: A rectangle is to be inscribed between the parabola y = 4 -x² and the X- axis, with its base on the…

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Q: A parkway 20 meters wide is spanned by a parabolic arc 30 meters long along the horizontal. If the…

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Q: You have 2,400 yards of wire fence material and you wish to enclose a rectangular region to form a…

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Q: . A window consists of an open rectangle topped by a semicircle and is to have a perimeter of 288…

A: It is given that the perimeter, P of the window is 288 inches and we have to radius of semicircle…

Q: An open box is to be constructed from a 12x12-inch piece of cardboard by cutting away squares of…

A: Let the cut away squares side is of x in. So, the dimension of the open box with height x, length…

Q: There is a line through the origin that divides the region bounded by the parabola y=8x−4x2y=8x-4x2…

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Q: A piece of wire 5 meters long is cut into two pieces. One piece is bent into a square and the other…

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Q: You have been asked to design a 1L oil can shaped like a right circular cylinder with open top. What…

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Q: Find the minimum cost of a rectangular box of volume 170 cm³ whose top and bottom cost 5 cents per…

A: Given: V=170cm3

Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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Q: A line with negative slop X-axis and y-axis and passes through the point (2, 2). What is the sum of…

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