Find the domain of f(x)= 3/the square root of(25-x^2) Show all steps

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

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A: Consider the given information. From the given information Length  l=8−2x And w=10−2x Therefore, the…

Q: find two positive numbers with product 576 and who’s sum is a minimum

A: we have to find numbers

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Q: An international airline has a regulation that each passenger can carry a suitcase having the sum of…

A: In this question,  Concept of Lagrange multiplier is used. Lagrange multiplier The Lagrange…

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Q: A rectangle is bounded by the x- and y-axes and the graph of y = (5 - x) / 2 . What length and width…

A: Given, A rectangle is bounded by the x-axis and y-axis and the graph of y=5-x2

Q: Solve using optimization 2. Find a pair of non-negative number that have a product of 162 and…

A: Solved below

Q: 4. A farmer wants to fence in three sides of a rectangular field with 1500 feet of fencing. The…

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A: In question given that  farmer has 600m of fence to enclose a rectangular divided pasture adjacent…

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A:

Q: During the test, the smallest 'volume per breath' is 0.5 liters, and this first happens for a breath…

A: (a) Since we are assuming the patient's breath is steady, we can model the patient's breathing using…

Q: A box is to be constructed from a sheet of cardboard that is 20 cm by 60 cm by cutting out squares…

A: Volume of the cuboid , V= (length)(Breadth)(height)

Q: open box is to be constructed so that the length of the base is 2 times larger than the width of the…

A: We will find the dimensions of the box.

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Q: Find two positive real numbers whose product is maximum and the sum of the first and twice the…

A: let the two psoitive real numbers be x and y. As the sum of first number and twice the second number…

Q: 3. One side of rectangular field is adjacent to a river, for the other three sides 480m of fence are…

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Q: A rectangular field is to be fenced off along the bank of a river, and no fence is required along…

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Q: The monthly profit from the sales of x units of a product is P = 80x – 0.04x2 – 12, 000 dollars.…

A: This Que is related to field of Differential Calculus. In this question, we have to find the Maxima…

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Q: If an open box is to be made using a square sheet of tin, 20 inches by 20 inches, by cutting a…

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Q: Write down the algorithm.ic steps of finding out a real root of a nonlinear equation for…

A: Hey, since there are multiple subpart posted, we will answer first question. If you want any…

Q: A developer is planning a fence around a rectangular field. They are using three different types of…

A: The cost of fencing(per meter) on the: North side: $50 South side: $70 Other sides: $100. The…

Q: n open box is formed by cutting identical squares from each corner of a 10 inches by 10 inches sheet…

A: Given query is to find the maximum possible volume of the box.

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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: A farmer has 300 feet of fencing to enclose a pasture bordered on one side by a river. The river…

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Q: Find two positive real numbers such that the sum of the first number squared and the second number…

A: Here we use application of derivatives.

Q: During the test, the smallest 'volume per breath' is 0.6 liters, and this first happens for a breath…

A: (a) Since the patient breath is steady the volume per breath can be modeled by the sine function.…

Q: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

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Q: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

A: A rectangular chicken pen is bounded on one side by the wall of the house and the other three sides…

Q: rectangular pen with 1,500 feet of fencing. One side of the pen will not need fencing because there…

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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: Here we will use the area of rectangle.  Area of rectangle  , A = W×L ,  where W = width and L =…

Q: During the test, the smallest 'volume per breath' is 0.5 liters, and this first happens for a breath…

A: a)  Volume per breath increase and decrease over time can be modelled by sinusoidal function.…

Q: a rectangle can be drawn in the first quadrant bounded by the curve y= 8- x^3 , the x- axis and the…

A: Let the Length of the rectangle be x and width by y. Hence, Area of the rectangle(A) = xy For the…

Q: During the test, the smallest 'volume per breath' is 0.5 liters, and this first happens for a breath…

A: a)  Volume per breath increase and decrease over time can be modelled by sinusoidal function.…

Q: A superball is tossed across a room. The ball can be assumed to start at (0, 0). It travels along a…

A: The given problem can be stated in a mathematical equation with an equation of projectile motion of…

Q: A rectangular page is to contain 76 square inches of print. The margins on each side are 1 inch.…

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Q: A farmer plans to fence a rectangular pasture adjacent to a river. The pasture must contain 180,000…

A:

Q: Find the dimensions of the rectangle of maximum area that can be formed from a 10-m piece of wire.…

A: We have to find the dimensions of the rectangle of maximum area that can be formed from a 10-m piece…

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: Use the inequalities from Exercise 2 and adding the maximization function Z = 120 x1 + 160x2 solve…

A: Given that the maximization function is Z=120x1+160x2 Subject to 2x1≤103x2≤11x1+x2≤5 And x1,x2≥0…

Q: During the test, the smallest 'volume per breath' is 0.7 liters, and this first happens for a breath…

A: a)  Volume per breath increase and decrease over time can be modelled by sinusoidal function.…

Q: 8. A rectangular field is to be fenced off along a river. No fence is required along the river. If…

A:

Q: During the test, the smallest 'volume per breath' is 0.5 liters, and this first happens for a breath…

A: (a) Since we are assuming the patient's breath is steady we can model the patients breathing by a…

Q: A rectangular field is to be bounded by a fence on three sides and by a straight stream on the…

A:

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose by cutting equal squares out of…

Q: A rectangle has one side on the xx-axis and two vertices on the curve y=2/(4+x^2) Find the vertices…

A: Given information:A rectangle has one side on the x-axis and two vertices on the curvey=2/(4+x^2)