5. A ball is thrown upward from the top of a building. The Batt height above ground can be modeled by the equaron H(t) = -12t2 + 60t+40. Whến will the ball reach thee maximum height? What he maximum height.of-the bal?

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

A: Let the length of the rock garden = x meters breadth of the rock garden = y Fencing available = 34…

Q: 8) A rectangle has a perimeter of 8 inches. What should be the dimensions so that its area is a…

A: Given query is to find the dimensions for maximum area.

Q: Q#3 A rectangle has length x m and its perimeter is 20 m What is the maximum area of such a…

A:

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: The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the…

A: Given :- The back of Dante's property is a creek. Dante would like to enclose a rectangular area,…

Q: 3. Jennifer has 26 m fencing to surround her rectangular vegetable garden in her backyard. a) What…

A: I am going to solve the given problem by using some simple geometry to get the required result of…

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with…

A: According to given question we have where AB = 14 , BC = 12EF =BD = x and FD=EB = yArea of the…

Q: The profit from producing n rocking chairs per year is given by the function P(n) = – 105n² + 1365n…

A:

Q: 4. The bottom of the legs of a three-legged table are the vertices of an isosceles triangle with…

A: In the question 4 it is asked to calculate the minimum wire length required to make a brace of of…

Q: 5.Find the maximum of Q=xy if x+y=42. The maximum value of Q is Q=?

A:

Q: 6. The diagram below shows a rectangle inscribed in a right triangle having a base of 12m and a…

A:

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

A:

Q: A ball is thrown into the air and its position is given by h(t) = - 5.5ť + 31t + 7 where h is the…

A: Given: h(t)=-5.5t2+31t+7

Q: 2. A rancher from above needs two equal adjacent rectangular pens that share a fence in the middle.…

A: Given that ,Rancher needs two equal adjacent rectangular pens with a fence in middle. this can be as…

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: Suppose that |(3x4-x2) dx=Ax+Bx³+C, for constants A, B, C. What is the value of C if the curve…

A:

Q: The ife expectancy for females in a certain country born during 1980 -1985 was approximately 74.2…

A: We have 3 unknowns, we will make 3 equations with given data.

Q: A rectangle is bounded by the x-axis and the semicircle y = √(25 − x2). What length and width should…

A: Given, A rectangle is bounded by the x-axis and the semicircle y=25-x2. The figure,

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

A:

Q: 8. The area of a rectangle whose perimeter is a fixed 80 feet is given by A 40w – w² , where w is…

A: Perimeter of rectangle is 80 feet p=80 2(l+w)=80 l+w=40l=40-w Area of rectangle:- A=lw =(40-w)w…

Q: Q8) A 2 feet piece of wire is cut into two pieces .One is bent into a square and the other is bent…

A: Given: A wire of 2 feet cut into square and equilateral triangle

Q: The shaded region between the graphs of y = – 2x´ + 20 and y = 3x – 15 is displayed below in orange.…

A:

Q: Lynbröók Wést, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars)…

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Q: It costs a company $15 to purchase an hour of labor and $20 to purchase an hour of capital. If L…

A: Let the function denoting number of machines produced is fL,K=0.075L2/3K1/3 for the constraint…

Q: A ball is thrown into the air and its position is given by h(t) = -5.3t² +22t+21 where h is the…

A: Note to student :   Thanks for posting your queries. But there are multiple questions given. As per…

Q: Two Canadian bicyclists are training for the Summer Olympics. On their initial locations, one of…

A:

Q: 8. The area of a rectangle whose perimeter is a fixed 80 feet is given by A= 40w– w² , where w is…

A:

Q: A rectangle is bounded by the x-axis and the semicircle  y = square root of (49-x^2)  (see figure).…

A: Let the length along the x axis is = 2x So the height= 49-x2 So the area is: A=2x49-x2

Q: 1. A rectangle with horizontal and vertical sides has one vertex at the origin, one on the positive…

A:

Q: dy Find dr - 6.3% +1-6x (а) () (ii) Hence find the maximum height of the tunnel.

A: The height of the tunnel, in meters is y = -0.1 x3 +0.8 x2,     2≤x≤8

Q: A window has perimeter 10 m and is in the shape of a rectangle with the top edge replaced by a…

A:

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

A: Maximization of area

Q: 8. A box is to be made with an open top from a sheet of cardboard by cutting four equal squares out…

A:

Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A:

Q: A box is constructed from a square piece cardboard with sides of 4 feet by cutting equal squares…

A: The volume of the box is V=4x3-16x2+16x

Q: 4. (§4.6, Q16) What is the maximum area of a rectangle inscribed in a right triangle with legs of…

A:

Q: 1. A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

A: The solution is given in the next steps.

Q: A sheet of paper 62 cm-by-62 cm is made into an open box (i.e. there's no top), by cutting x-cm…

A: Given that, A sheet of paper 62 cm-by-62 cm is made into an open box by cutting x-cm squares out of…

Q: A city government is considering renting space in an all day parking garage for its 100 employees.…

A: (a) a.). Demand function for parking: Q = 150 – 50P 100 = 150 – 50P 50P = 150 – 100 50P = 50 P = 1…

Q: 1. Find the maximum/minimum value of y = 10 - 4x - 3x² and where it occurs using completing the…

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Q: The profit from producing n rocking chairs per year is given by the function P(n) = –105n² + 1365n –…

A:

Q: 6) A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

A:

Q: A farmer wishes to make a rectangular chicken run using the existing wall as one side. He has 16…

A:

Q: 6. The path of a ball is given by y =- tx2 + 3x + 5 where y is the height (in feet) of 20 the ball…

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Q: A rectangle is founded by the x-axis and the semicircle y = √ of 9 - x² what length and width should…

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Q: Suppose (P,Q) is the point on the graph of y= square root of x closest to (1,0). What is the value…

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Q: 1. A rancher has 6100 feet of fencing with which to enclose three adjacent rectangular corrals (see…

A: A rectangle having dimension 3x and y.

Q: A customer has a circular pool that is 20 feet in diameter. They want to plant bushes completely…

A: Given that: Diameter of circular pool=20 ft

Q: The cables on a suspension bridge can be modeled by h = 0.0076s2 − 0.76s + 40, where h is the height…

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Q: The back of Jake's property is a creek. Jake would like to enclose a rectangular area, using the…

A: