find the suprimum, in! infimum maximum and minimum of { c,1": (1+):ne w}, if t)ine w}

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Q: 5. Show that the rectangular box of maximum volume inscribed in a sphere of radius r is a cube.

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Q: Region bounded by y = x* +2, y = x+4 rotated about the x-aKis 2.

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Q: second denivafive method to conclude 1x-21 local minimum at

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Q: 3 - Find the bounded ly y=2x-2, x=-1, x= 2 3 area y=2X - 2, x=-I, x= 2 4- Find the anea bondol .

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Q: 13) Find an equation of the plane that is through the point (1,1,2) and makes minimum volume in the…

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Q: triangle with vertices (-4, 1) (-2,1) (-3,2), rotated about x=1, set up the integral using the shell…

A: Given vertices of triangle are (-4,1) (-2,1) (-3,2) & axis of rotation is x=1 we have to find…

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Q: The maximum number of new regions that are created when we add another line to a configuration of 15…

A: The maximum number of new regions that are created when we add another line to a configuration of 15…

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A: To find the dimensions to obtain minimum fencing

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Q: 2. A rectangular box has a square base with edges at least 10 cm long. It has no top, and the total…

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Q: 3. A rectangle with a fixed perimeter of 64 units is rotated about one of its sides, thus sweeping…

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Q: 4. The volume of an open box with square base is 256 cu. in. Find the dimension if the material used…

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Q: Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its…

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Q: A box is to be made where the material for the sides and the lid cost $0.20 per square foot and the…

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Q: 8 A rectangulaer garden with an area of 30m is Surrounded by a grass border Im wide on two Sides and…

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Q: An Inscribed rectangle Is bounded by the x - axls and the semicircle y =V25-x2. What length and with…

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Q: A cylindrical can without a lid is to be constructed to contain 800 ml of liquid. Determine the…

A: To find the dimensions that minimize the amount of metal needed to make the can.

Q: 7. Show that a closed rectangular box of maximum volume having a prescribed surface area S is a…

A: Let the volume function be V=lbh and the surface area is 2lb+bh+lh=S. Take the constraint to be gl,…

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A: GIVEN: y = 9 x2 x = 0 x = 1 y = 0

Q: For this exercise we will use the fact (see Exercise 32 in Section'6.5) that the moments of a…

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Q: Two factories are located at the coordinates (−x, 0) and (x, 0), and their power supply is at (0,…

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Q: A hydro-company wants to lay cables between sites A, B, and C. If they are drawn on a map xy -plane,…

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Q: 4 Set upinbegrl for th volume caboud x- -I y. 12 and

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Q: ) Find the regreesion line predicting Prioe from Copecity with tie hard drive added. (Round to two…

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Q: approximade the integra with, a-) Trape 20id Rule 6) simpson's Rule.

A: Given integral is ∫00.52x-4dx Take  ∫00.52x-4dx  =∫00.5fxdx Here, fx=2x-4

Q: 1. A rectangular field of fixed area is to be enclosed and divided into three lots by parallels to…

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Q: How would I go about solving ∭xzdV, where E is bounded by the planes z = 0, z=y, and the cylinder x2…

A: We will find out the limits first.

Q: 2. A closed right circular cylindrical tank is to have a capacity of 128rm³. Find the dimensions of…

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Q: 2) An open box constructed from a tin sheet has a square base and a volume of 216 in cubed. Find the…

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Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

A: Given: The region bounded by y=2x2, x=0, x=2 and y=0.

Q: 5. (a) A company manufactures cylindrical metal drums with open tops with a volume of lcubicmeter.…

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Q: A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to…

A: Let the dimension of maximum volume will be r1  and h1 answer  r1 = 3 unitsh1 = 2.166 units detailed…

Q: (13) If you rotate the area bounded by the line segment joining the points (0,0) and (r,h), the…

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Q: 4. A right and uniform solid cone C of mass M has a height 3R and a circular base of radius R. By…

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