How would you compare the relative merits of Simpson’s Rule and the Trapezoidal Rule?

Q: A farmer is building a new cylindrical silo with a flat roof and an earthen floor that will hold…

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Q: The incenter of a triangle is equidistant from its sides. true or false?

A: Ans--- TRUE  The incenter of a triangle is the point on the interior of the triangle that is…

Q: A gutter with trapezoidal

A: Given, a gutter with a trapezoidal cross-section is to be made from a long strip of metal that is 22…

Q: area of trapezoid b1=5,b2=7,h=4

A: detailed solution is given below

Q: The City Council proposed to utilize government-owned land with an area of 12,150 square meters.…

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Q: Why we use the minimum ratio test to find the column in the DUAL simplex method, what will happen if…

A: The dual simplex method minimum ratio test is used to determine the leaving base variable. Recall…

Q: (b) How do you differentiate between Brittle and ductile materials? Which materials are preferred…

A: Given: Difference between Brittle and Ductile materials

Q: Determine whether the following statements is true or false, and explain why. In the trapezoidal…

A: The given expression is In the trapezoidal rule, the number of subintervals must be even.

Q: 10

A: Evaluate the integral ∫4x4+310dx

Q: Y"+y=secxtanx by using variation of parameters

A: given that y''+y=secx tanx solve it by using method of variation of parameters

Q: The City Council proposed to utilize government-owned land with an area of 9,600 square meters.…

A: Here we solve the given problem.

Q: me circumference of a sphere was measured to be 75 cm with a possible error of 0.5 cm. Use linear…

A: Given query is to find the error calculating surface area using linar approximation.

Q: you have been asked to design 2000 cm cube can shaped like a right circular cylinder. What…

A: Sol :-          Given volume = 2000cm3                            V=πr2h = 2000…

Q: The trapezoidal rule and (ii) The Simpson's rule.

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Q: A worker is to construct an open rectangular box 3 with the square base and volume of 12 ft.³. If…

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Q: The circumference of a sphere was measured to be 83 cm with a possible error of 0.5 cm. Use linear…

A: The circumference of a sphere is: The surface area of a sphere is: Where r is the radius of the…

Q: How do you construct a Scalene Right Orthocenter?

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Q: When can I used the Disk/Washer Method and Shell method in different circumstances? When Can I also…

A: The Disk/Washer method and Shell method are all used to calculate the volume.

Q: Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: two verticle poles, one 6 ft high and the other 18 ft high, stand 32 feet apart on a flat field. A…

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Q: A manufacturer is Trying to find the best way to package the new rubiks ball. The best two options…

A: To find the volume of cylinder box  Radius , r = 2 inches  And height , h = 4 inches

Q: Two vertical poles, one 8 m high and the other 16 m high, stand 45 m apart on a flat field. A worker…

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Q: Use the trapezoidal rule with n = 8 to approximate

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Q: A trapezoidal gutter is to be made from a sheet of tin 22 cm wide by ending up the edges. If the…

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Q: Composite Trapezoidal rule with n 4

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Q: Two poles one 6cm tall and the other 15cm tall are 20m apart,the wire is attached to the top of each…

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Q: Trapezoid JKZM with vertic

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Q: You need to construct a cylindrical container with a circular base and no top, having a total…

A: Given Total surface area with no top =27π square inches Radius is r and height is h. We have to find…

Q: Are the two shaded triangles in the dilation (ruler method) below similar? If so, what is the scale…

A: the given figure is: we have to determine: are the two shaded triangles in the dilation (ruler…

Q: What is the degrees of freedom of the problem that we will use to look onto the t-table?

A: The degrees of freedom is, df=n1+n2-2=21+23-2=42

Q: What is the relationship between the disk method and the washer method?

A: What is the relationship between the disk method and the washer method?

Q: The cross-section of a trough is an isosceles trapezoid. If the trough is made by bending up the…

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Q: Why is the method of Lagrange Multiplies so helpful? Be specific

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Q: A rectangle field is formed using a building as 1 side. The other 3 sides are to be fenced with…

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Q: There is an urban legend that mothers have increased sensitivity to and awareness of noises, in…

A: According to answering guidelines, we can answer only first three subparts of a question and the…

Q: What are the two requirements necessary for a figure to have dilation?

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Q: Why does the process of Lagrange multipliers work for finding extrema?

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Q: According to Cavalieri’s sensible how would you compare the volumes of the stack of coins?

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Q: A horizontal trough is 16m and its ends are isosceles trapezoids with an altitude of 4m, a lower…

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Q: The Cones of Dunshire is a new board game in which all of the main play pieces are cones. If you…

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Q: We wish to empty a hemispherical tank full of water out the top. Which should entail the larger…

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Q: There is an urban legend that mothers have increased sensitivity to and awareness of noises, in…

A: As per guidelines we will only answer first question, please repost the question for other answers.…

Q: What is the least number of lateral edges of a prism?

A: Given that: A prism.

Q: You have been asked to design a 1L oil can shaped like a right circular cylinder with open top. What…

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Q: Explain and suggest factors at would make the simpson's rule better than the trapezoidal le

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Q: There is an urban legend that mothers have increased sensitivity to and awareness of noises, in…

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Q: top of the second post. How far from the shorter pole must the peg be installed so that the length…

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Q: a. What is the degree of precision of Trapezoidal rule?

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.