Q2: A wooden cubic made from 150 cm? of boarding, as shown in the figure. By using the Lagrange method, find the maximum volume of this cubic? R M

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Q: Q1: A solid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is…

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Q: Q3: A rectangular container made from 54 cm? of fiberboard, as shown in the figure. If the container…

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Q: find the volume generated of the area bounded by x^2 = ay, the x-axis and x = b which is revolved…

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Q: Q1: A solid carton made from a 2700 cm of paperboard, as shown in the figure. If the carton is…

A: We are given the Total surface  of Cardboard = 2700 cm2 Now, the carton is uncovered from the top…

Q: 8) Fiad the volume of the solid gonereted by revelving the regien beunded by tue graphs of equetians…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the graphs…

Q: The solid below is made from cubes. Find its volume. 1 yd

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Q: Q3: Find the volume of the solid enclosed by the parabola y = x? + 22 and the coney = 32 — x? — z2,

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Q: What are the dimensions of the lightest open-top right circular cylindrical can that will hold a…

A: Here we have to find the dimensions of the lightest open-top right circular cylindrical can that…

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A: According to Questions Volume of Cylinder=27π in3

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Q: y = x*on[0, v2], about the y – axis.

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Q: Q1:A solid carton made from a 2700 cm' of paperboard, as shown in the figure. if the carton is…

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Q: Q3: Find the volume of the solid enclosed by the parabola y = x² +z? and the cone y = 32 – x² - z2.

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Q: .Ktd5 Sוו -CLושוIIש UIIIUשLO Niles used 16 blocks, each having a volume of 1 cubic unit, to build a…

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Q: Approximate the change in the volume of a sphere when its radius changes from r = 5f t to r = 5.1ft

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Q: (a) The total surface area of an open cylinder is 27 cm³ given that radius, rcm. i. Show that the…

A: Given that; Total surface area of am open cylinder is 27pi cm^3. Radius r cm.

Q: 160. Use the method of shells to find the volume of an ellipsoid (x²la?) + (y²lb²) = 1 rotated…

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Q: - y? + 7, and æ = y? + 5 Find the volume of the solid that results when the region enclosed by x is…

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Q: SA E. John covered a cylindrical can with paper for a school project. The can is 20 centimeters tall…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Q1: Aolid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is…

A: Given that: Surface area of the solid carton = 2700 cm2 Find the extreme volume of the solid carton…

Q: A closed cylindrical can is to have a volume of V cubic units. Show that the can of min- imum…

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Q: A spherical tank with radius R=5m is used to hold water from a small village. The volume of water in…

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Q: nd the volume of the solid that results when the region enclosed by 0, x = 7, and y = 0 is revolved…

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Q: Let the radius of the cylinder be r cm and the height of the cylinder h cm.

A: Consider the labelled diagram below for the cone with the largest cylinder underneath.

Q: Find the volume of the cylinder. Either enter an exact answer in terms of T or use 3.14 for T.

A: Given, Height = 6 unit Radius=3 unit

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Q: The volume (V) of a rectangular solid with square base with side length () and height (h) is given…

A: Given,  l = the side of the square base and h = height   V = volume = l2h   The surface area = 2l2 +…

Q: t.x:11] find the volume generated from rotate the Сигие y = 20- _X², about y-axis. Draw this 60…

A: Consider the curve y=20-x260 The curve is rotated about y-axis. Now,…

Q: Q1: Aolid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is…

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Q: Calala te the volume of the selid enclesed by the parabola z=x+y? and the sphere

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Q: A rectangular sheet of perimeter 39 cm and dimentions x cm by y cm is to be rolled into a cylinder.…

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Q: Jody is constructing a cylinder jar from a slab of clay with a surface area of 675 cm? ст What is…

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Q: Consider the formula to calculate the volume, V, of a right pyramid with the area of base, B, and…

A: Explanation of the solution is given below...

Q: Q2: A wooden cubic made from 150 cm' of boarding, as shown in the figure. By using the Lagrange…

A:

Q: Rotate the ellipse ( x 2 / a 2 ) + ( y 2 / b 2 ) = 1 around the x-axis to approximate the volume (in…

A: Rotate the ellipse (x2/a2)+(y2/b2) = 1 around the x-axis to approximate the volume of a football.

Q: Q1: A solid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is…

A: Prepare the problem as given: Volume covered: f(x,h) = hx2 Restrain: g(x,h) = x2+4hx = 2700 need to…

Q: the volume of container is given by V=pi/3(r2 + 36)(12-r) where r is the radius. if the volume is…

A: Ques  given volume of container V=1/3Π [(r^2+36)(12-r)] First find derivative of V with respect o…

Q: 135 Find the area of the surface generated by revolving x = 4V9 - y. 0sys- about the y-axis. 16

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Q: x2 + y? and the sphere Determine the volume of the solid enclosed by the paraboloid x² + 3y? + 2² =…

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Q: A storage shed is in the shape of a pentagonal prism. The front represents one of its two pentagonal…

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Q: The solid shown consists of a right circular cylinder od diameter d and altitude of h, surmounted by…

A: The solid shown consists of a right circular cylinder od diameter d and altitude of h, surmounted by…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.