As given by the figure, above the packaging division of a company a rectangular box open and divided in half in the middle wants to do. The volume of the box should be 750 cm3. Find the dimensions of the box as (x, y, z) [cm] so that the material to be used in the creation of the box is the least.

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Q: 12. If KR= x +7, KM = 3x -5, and JL = 4x – 10, what is JR? %3D %3D

A: Given: JKLM is a parallelogram.

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Q: The convex surface area of a cylinder is at maximum. Determine its dimension in order to be…

A: The convex surface area of a cylinder is at maximum. We have to determine its dimension in order to…

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Q: Find the value(s) of c such that the area of the region bounded by the parabolae y = x² – c² and y =…

A: Given information:- Find the value(s) of c such that the area of the region bounded by the parabolae…

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Q: A cylindrical can Is to have volume 1600 cubic centimeters. Determine the radlus and the helght…

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Q: AB intersects CD at E. If the m AED = 6x - 20 and m ZCEB = 2x + 60, find the ZAEC. %3D

A: AB intersects CD at E. angle AED=6x-20 angle CEB=2X+60

Q: Find a,b and c so that the quadrature formula has the highest degree of precision | F(x)dx = af(0) +…

A: Given: The function is  ∫02 f(x) dx ≈ af(0)+ bf(1) + cf(2) To find: The value of a, b, and c.

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Q: An open-top box is to be made by cutting congruent squares of side length x from the cor- ners of a…

A: The box is in the shape of cuboid whose sides are x , 20-2x and 25-2x

Q: Find the value(s) of c such that the area of the region bounded by the parabolae y=x^2 - c^2 and…

A: Given: The given parabolas are y=x2-c2 and y=c2-x2. Determine the points of intersection.…

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Q: An open rectangular box is to be constructed by cutting square corners out of a 29- by 29- inch…

A: An open rectangular box to be constructed by cutting square corners out of a 29 by 29 inch piece of…

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Q: Find the area of a region enclosed by the parabolas f(x) 2 > 12 - 1 for all z in [0, 1]. = T and…

A: Topic = Area

Q: Find the number in the interval [0, 9] such that the number minus its square is as follows. (a) as…

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Q: A closed rectangular box witha volume of 81lft' is made from two kinds of materials. The top and…

A: Given, A closed rectangular box with a volume of 81 ft3is made from two kinds of materials. The top…

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A: Suppose that the box height is h=4 in. and that it is constructed using 156 in.^2 of cardboard…

Q: Find the value(s) of c such that the area of the region bounded by the parabolae y = x² – c² and y =…

A: Topic = Application of integration

Q: b) A window is being built in a such way that the bottom is a rectangle and the top is a semicircle…

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Q: Find the constants c0, c1, and x1 so that the quadrature formula Z 1 0 f(x)dx = c0f(0) + c1f(x1),…

A: Consider the given quadrature formula, ∫01fxdx=c0f0+c1fx1 here we need to determine the constants…

Q: ONotes Evaiuate A box with an open top is to be constructed out of a rectangular piece of cardboard…

A: topic - application of derivatives

Q: A right circular cylinder that is open on both ends is inscribed in a sphere of radius a . What is…

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Q: Pplied to y c) horizontal compression by the factor , vertical stretch by the factor. reflection in…

A: Horizontal compression by a factor of 14 is: f14x=x4y=x4

Q: EXAMPLE 6 Find the volume of the box (parallelepiped) determined by u = i+ 2j – k, v = -2i + 3k, and…

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Q: Solve the following maxima and minima problems: A silo consists of a right circular cylinder…

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Q: 1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of…

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Q: 5. Find the dimensions x, y, and z (in inches) of the rectangular box with the largest volume that…

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Q: An aluminum can is to be constructed to contain 2400 cm3 of liquid. Let r and h be the radius of the…

A: Given that the volume is:V=2400πr2h=2400h=2400πr2

Q: 39. Suppose that 1200 sq. cm of material is available to make a box with a square base and an open…

A: topic - application of derivatives

Q: A cone is to be constructed so that, if its radius is r, its height must be h = 100 – r2. We wish to…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.