A rectangle is founded by the x-axis and the semicircle y = √ of 9 - x² what length and width should the rectangle have so that its area is a maximum? _______ smaller value _______larger value

Q: A piece of wire 110 meter long is cut into two. One piece of length z is bent into a circle while…

A: Xmin = 2420/29, For detail go through the solution...I have done in detail step by step

Q: 2. the field 3. The length of rectangle is 4 meters longer than twice its width. Its area is 70…

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Q: An open-top container in the form of a right circular cylinder has a surface area 3n square feet.…

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Q: A rectangular box with a square base is to have a volume of 20 cubic feet. The material for the base…

A: The rectangular box with a square base has the volume of 20 cubic feet. The material for base costs…

Q: A rectangular garden consists of a rectangular lawn of area 72m2. The pass is 2m wide at two longer…

A: let length of shorter side = x rectangle side = x+1+1=x+2 other side of lawn =72x rectangle's other…

Q: The roots of a quadratic polynomial are x1 = -1 and x2 = 3. The y-intercept of the function's graph…

A: Let the quadratic polynomial be y=ax2+bx+c Given: Roots of a quadratic polynomial are x1 =-1 and x2…

Q: 5. A rectangular tent is made to have a square base with two partitions inside that divide the tent…

A: Here the base of the tent is a square of base x units and the sides of the tents are of height y…

Q: XYZ is an isosceles triangle with base YZ. YZ=5cm; Height of triangle=10cm. A square is put into t

A: Solution of the problem as follows

Q: 15. The St. Louis Arch can be approximated by a quadratic function. Find the quadratic function f(x)…

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Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 49 - x2. What…

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Q: Given the quadratic function f(x) = 2x2 − 10x + 6 a. Find the minimum or maximum value of f. b.…

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Q: Consider the formula q ( x ) = x 2 + 6 x + 17 . In this formula x is a variable that can take on…

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Q: 6. For the quadratic function f (x) = 3x² + 7x – 8, %3D (a) Find the domain (b) Find the range (c)…

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Q: 7. The hypotenuse of a right triangle has one end at the origin and one end on the curve y = x²e-3x,…

A: I use first derivative test to find where area is maximum and minimum

Q: The axis of symmetry is a line that divides the quadratic graph into mirror images and passes…

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Q: An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a…

A: To compute the volume of a box, multiply the length of three sides of the box. The formula for the…

Q: A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x),…

A: (a) This is a quadratic function, it has maximum point at the vertex. So we find the vertex point of…

Q: Volume The measured volume of a pyramid with eachedge of the base equal to x units and with its…

A: Volume The measured volume of a pyramid with each edge of the base equal to x units and with its…

Q: 5. The general form of a quadratic function is f(x) ax2 + bx + c. a. Use the technique of completing…

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Q: Consider a quadratic function. Given that the x intercepts of the quadratic function are z = 2 and 4…

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Q: 725&tags3autosave#Q5 A Apps O YouTube N Netflix M MasterClass Outlook Stream TV and M.. T REL 101-17…

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Q: A. True or False 1. A quadratic equation has only one solution. 2. This polynomial function is of an…

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Q: A farmer is intending to build a rectangular fence alongside the edge of his barn using 200 feet of…

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Q: A rectangular garden consists of a rectangular lawn of area 72m2. The pass is 2m wide at two longer…

A: We use second derivative test to find out where area is minimum

Q: 5 A rectangular plot is enclosed by 200 m of fencing and has an area of A square metres. Show that:…

A: Given:-Perimeter=200 mArea= A m2Width=x m

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at a = 2 and a root of multiplicity 1…

A: Given: So, the possible form of p(x) will be p(x)=a(x-2)2(x+2). Now, we will find the value of a by…

Q: A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet,…

A: Given, f(x) = -0.8x2 + 2.4x + 6, where x is the ball’s horizontal distance, in feet, from where it…

Q: 0 4 From a square piece of metal of side length 6 m, four squares are removed as shown in the…

A: Given:  To be find: Expression for volume, value of x for maximum volume and maximum volume of the…

Q: POLYNOMIAN AND RATIONAL FUNCTIONSSeveral popular models of carry-on luggage have a length 10 in…

A: Calculation:Let x be the depth of the luggage. that is d = x.Since it is given that the length of…

Q: 11. The graph of a quadratic function is shown. 30 11a Write down thg equation of the axis of…

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Q: Find the vertex of the quadratic function f(x) = -6x² – 1x + 10 f(x) = a(x – h)²+ k then express the…

A: Given quadratic function is      f(x)=-6x2-x+10. We have to write given function into its standard…

Q: 14. A small, closed water tank is in the shape of a cuboid with a square base. The total surface…

A: Given :Total surface area of cuboid = 1500

Q: A delivery company requires that any box delivered must have a length plus girth (distance around)…

A: NOTE: Refresh your page if you can't see any equations. . girth is g=2x+2y and the length is z the…

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 64 – x2. What…

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Q: Consider the quadratic function f(x)=(x−4)2+2f(x)=(x−4)2+2 Which statement is true? Group of…

A: Put x = 4 ⇒y = (4-4)2+2 = 2 Put x = 2 ⇒y = (2-4)2+2 = 6 Therefore, this is false.

Q: A ball is thrown upward and outward from a height of 66 feet. The height of the​ ball, f(x), in​…

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Q: A box with a lid is to be made from a rectangular piece of cardboard measuring 22 cm by 70 cm. Two…

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Q: A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet,…

A: Given, f(x) = -0.8x2 + 2.4x + 6, where x is the ball’s horizontal distance, in feet, from where it…

Q: A certain type of candle is packaged in boxes that measure 42 cm by 17 cm by 10 cm. The candle…

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Q: 5. A box for teas is to be made from some cardboard with dimensions 1m by 40cm. It is folded along…

A: Given: Size of cardboard is 1m by 40cm. To determine: a) An equation that represent the volume of…

Q: 1. The polynomial function f has exactly one positive zero. Approximate the zero correct to two…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: A box with a lid is to be made from a rectangular piece of cardboard measuring 48 cm by 144 cm. Two…

A: The figure is given by To evaluate: The value of x such that the volume of the box is maximum.

Q: Existing Fence Cows Goats Sheep бх 4x 2x A farmer wishes to build rectangular enclosures against an…

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Q: 10x cm у ст y cm 13x cm 13х от The above diagram shows a polygon that is formed from a wire of…

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Q: 4) A rectangle in the first quadrant has can be made with its lower left vertex at the origin, one…

A: Consider the following figure:

Q: A rectangle is inscribed in a right triangle. The base of the triangle is 6 inches and height of 3…

A: Given:  Base of the triangle=6 inches, and Height of the triangle=3 inches To determine: The…

Q: A division of a certain company manufactures a pager. The weekly fixed cost for the division is…

A: Given  fixed cost = $20000 variable cost V(x) = 0.000001x3 − 0.03x2 + 70x Total cost  c(x) = fixed…

Q: 3. Triangle ABC is a right-angled triangle at Cand its area is 50m A rectangle is placed in this…

A: Given Triangle ABC is a right angle triangle at C and area of triangle=50m2and a rectangle is placed…

Q: The volume of a box shaped like a rectangular prism is given by the function V (x) = 3x° + 8x² – x +…

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Q: dimensions of the field with maximum area that can be enclosed with 1000 feet of fencing. You can…

A: Solution..