PART C: You wish to maximize the volume of an open-topped rectangular box with a square base x cm by x cm and surface area 900 cm2. Over what domain can the variable x vary? A. 0

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Q: consider a right circular cylinder open top tin can with volume 1000cm3. Suppose R and H are the…

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Q: 1. Given: y 3x Assuming the box has a fixed volume. What is the value of y in terms of x that will…

A: First find the volume then differentiate on both side .

Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

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Q: An open box with a square base is to have a volume of 18 ft3 Find the box dimensions that minimize…

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A: The Volume of an open box with a square bottom x length and h height is given by V = x2h…

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Q: Please

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Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

A: Find the dimension of the box when the surface area is minimum

Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

A: We have to find largest valume that a such box hve.

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Q: The cost of producing .r units of a product is modeled by C =120+45.x-180 ln x, r21. Find the…

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Q: Given a closed box with surface area = 16 and a square bottom, what value of x will maximize the…

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Q: Copy and complete the table for spheres.

A: The radius of the sphere is 7.

Q: The table to the right shows the volume discounts offered by a company, where x is the volume of a…

A: topic- piecewise function

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A: Given: The base of a three-dimensional figure is bounded by the line y=x+2 on the interval -2,2. The…

Q: A company is constructing an open-top, square-based, rectangular metal tank that will have volume of…

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Q: A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

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Q: the production level that minimizes the average cost per unit.

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Q: The options for part A are... minimum mass (in g), initial mass (in g), or initial time (in…

A: Given

Q: The volume of a sphere is increasing at the rate of 6 cm3/hr. at what rate is its surface area…

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Q: Express h in terms of r. b) Express the surface area of the can in terms of r. c) Approximate the…

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Q: An open rectangular box is to be constructed by cutting square corners out of a 16 by 16 cm piece of…

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Q: A rectangular container that will be twice as tall as it is wide is to be constructed. The volume of…

A: Let the width of the rectangular container be x ydThen the length of the rectangular container will…

Q: A state legislature is debating two proposals for eliminating the annual budget deficits after 10…

A: Let f(x) represents the curve of proposal 1 and g(x) represents the curve of proposal 2. The graph…

Q: Find a formula for the volume of the box in terms of æ V(x) = Find the value for æ that will…

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Q: 000 is budgeted for production of the product, determine how that amo ion will be maximized when…

A: We are asked to find the maximize the profit

Q: 4. tinl the dbsolule marimum and minimum value

A: 4. The function is given by fx =-x2+8x+1 ; 6, 9 To evaluate : The absolute maximum and minimum value…

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Q: A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is…

A: We will use derivative test to solve this.

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: Container A: radius= 12 feet height=15 feet    Container B: radius=8 feet  height=17 feet

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Q: A square is to be cut from each corner of a piece of paper which is 8 cm by 10 cm, and the sides are…

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Q: 9) A manufacturer wants to use 108 square inches of material to make an open topped box with a…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Determine the volume of the function f(r,0,z) in a complete…

A: Volume can't negative so neglect negative sign.

Q: 3. A container in the shape of a right circular cylinder with no top has surface area 3n ft2. What…

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Q: A trough with trapezoidal cross sections is formed by turning up the edges of a 30-inch-wide sheet…

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Q: Find the values of and y Maximised that the volume can be

A: Since y is not clearly mention what is it, so we are taking it as radius of cone. According to the…

Q: A can of Campbell's soup has a height of 10.2 cm, a radius of 3.2 cm, a circumference of 20.1 cm,…

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Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: Please

A: If we fold it we will get a cuboid with l=10-2x cm, b=8-2x cm and h=x cm Volume V for a cuboid = lbh

Q: An open-top cylindrical container is to have a volume 2744 cm3. What dimensions (radius and height)…

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Q: An open-top rectangular box is to have a square base and a surface area of 100 cm 2 . What…

A: Here we have to use the concept of derivatives

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given,

Q: The edge x of a cube is measured with an error of at most 0.5%. What is the maximum corresponding…

A: Given:

Q: I am solving a related rates problem and it is saying if a cone has a fixed slant height what radius…

A: Given that: Slant height of the cone, L=12

Q: (Dido's problem) Given a rope of a fixed length L, what shape should the rope take so that the…

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Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

A: Note: There are multiple sub-questions. No specific question has been asked. So, We will solve the…