1) Find the maximum area of a rectangle ABCD (in the first quadrant) whose the vertex C lies on the graph of the function 4 the vertex A is the origin (0, 0), B is on the x-axis and D is on the y-axis.

Q: 4. The graph of f(x) = -3(x – 2)² – 6 is a parabola that %3D opens with its vertex at (L, ), and…

A: Given: The function fx=-3x-22-6, To determine: The given blanks in the following statement, "The…

Q: 2. An orange grower has 400 crates of fruit ready for market and will have 20 m day the grower…

A: We will create function and use derivative to maximize it

Q: 22: A rectangle is to be constructed that has a height of x and a length of 30 – x2. Determine the…

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Q: The goal of this problem is to find the maximum area of a rectangle whose lower-left vertex is at…

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Q: The pair of numbers whose sum is 22 and whose product is as large as possible is (Use a comma to…

A: Let, x be one of the number from the pair who's sum is 22 and whose product is as large as possible.…

Q: Among the specifications of a company, which requires packing its product in boxes, it is found that…

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Q: Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area…

A: Given: A farmer with includes the 950 ft of fencing that results in enclosing the rectangular area…

Q: 10.1. A wire of length 12m is cut into two parts, one of which is bent into a square and the other…

A: Given query is to fimd the Maximum area can be made with the wire.

Q: *3.7.32 (3.3) A rectangular plot of farmland will be bounded on one side by a river and on the other…

A: Let x and y be the length and width of the rectangular plot of farmland respectively.Since the…

Q: Solve for d,e,f

A: (d)Given that a farmer with 750 ft of fencing wants to enclose a rectangular area and then divide…

Q: The pair of numbers whose sum is 10 and whose product is as large as possible is. (Use a comma to…

A: The objective of the question is determine the possible values for maximum product and the product…

Q: 10. A wire of length 20m is cut into two parts, one of which is bent into a circle and the other…

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Q: Consider a parabolic arch whose shape may be represented by the graph of y = 9 - x2, where the base…

A: Pick a point P at the considered arc,  that is                         p = x , 9-x2…

Q: 3. The sides of the base of a rectangular cardboard shoe box are 3x and 2x cm respectively. The…

A: Let's find.

Q: 4) A farmer has 2000 feet of fence and wants to build a rectangular enclosure along a straight wall.…

A: Given:-rectangular fence along a straight wallthere is no fence along the walltotal length of…

Q: Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular…

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Q: A rectangular box of height y having a square base with sidelength x is to be made. If the area of…

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Q: 7) A piece of sheet metal 20 cm x 12 cm is used to make an open box. To do this, squares of side x…

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Q: 3. The graph of f(x) = 3(x – 2)² – 6 is a parabola that opens %3D with its vertex at (L, -), and…

A: The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If…

Q: Question 9 A farmer wishes to fence in a rectangular plot of land with one side running along a…

A: topic - application of derivatives

Q: Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area…

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

A: Given informationRectangle base is on x axisTop on parabola

Q: a rectangle is delimited by the x axis and the semicircle, y = v2 25 -X^2 how long and wide the…

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Q: Q#4: (i) What is the projected level of revenue in 3 years for a company with current revenues of…

A: (i).       The present value is the value of the sum received at time 0 or the current period.  It…

Q: To graph the maximum domain of the function f(x, y) = Vy – 2 - In [(y – 1)² + x – 1] The green…

A: Solve the given problem.

Q: A farmer has 350 feet of fencing to enclose 2 adjacent horse corrals. What dimensions should be used…

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Q: Is it possible for the graphs of two different quadratic functions to each have x = -3 as its line…

A: Given

Q: 1. Find the absolute maximum and minimum of y = x³-3x² + 2, [-1, 3]. Sketch the graph.

A: Given function is y=x3-3x2+2

Q: A new design for a rectangular table place mat has been implemented by a company manufacturing…

A: Maximization of area

Q: The graph of f(x) = 5(x - 3)2 - 2 is a parabola that opens upward with its vertex at (x, y) = | and…

A: We have to find the vertex of the parabola and its minimum value.

Q: A point on a curve is said to be an extremum if it is a local minimum or a lo maximum. The number of…

A: Given that: f(x)=3x4-16x3+4x2+37

Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

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Q: Solve without the use of a calculator

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Q: A rectangular box of height y having a square base with sidelength x is to be made. If the area of…

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Q: 2) Find the equation of a quadratic function with a maximum value at (2,5) and a vertical intercept…

A: We have to find equation

Q: A rectangle is bounded by the x- and y-axes and the graph of y = (6 – x)/2 (see figure). What length…

A: Given y=6-x2  ......1 and length of rectangle=x units width of rectangle=y units

Q: The graph of f1x2  31x  222  6 is a parabola thatopens , with its vertex at 1 , 2, andf122  is…

A: to find the vertex of the parabola

Q: A farmer is is building a fence to enclose a rectangular area against an existing wall, shown in the…

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Q: 1. Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle…

A: From the given problem:   Perimeter=P=1000 m   Let the length of the rectangle 'abcd' is 'X' and…

Q: 1. Find the maximum point of the following curve. <press your answer in this form (#,#) or N/A if…

A: Differentiate the given function with respect to x and then solve y'= 0 to obtain the critical…

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 16…

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Q: Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area…

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Q: with 850 ft of fencing wants to enclose a rectangular area and then divide it into four pens with…

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Q: The graph of f(x) = -3(x – 2) – 6 is a parabola that орens with its vertex at ( ,), and f(2) = value…

A: fx=-3x-22-6 Comparing with fx=ax-h2+k, we get a=-3, h=2 &amp; k=-6. Now since a&lt;0, therefore the…

Q: A rectangle is bounded by the x- and y-axes and the graph of y = (6 − x)/2 (see figure). What length…

A: The area of the rectangle is given by the formula, A=x·y Since the point x,y lie on the line so it…

Q: The graph of f1x2  31x  222  6 is a parabola that opens, with its vertex at 1 , 2, and f122 is…

A: To find the graph of the given function                         f(x)=3x-22-6 and to find the vertex.

Q: constructed from a piece of cardboard 20cm by 40cm by cutting squares of side length x from each…

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Q: Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area…

A: NOTE: Refresh your page if you can't see any equations. .