If we partion [1, 23 ] into 80 subintervals of equal length and [14, 40 ] into 45 subintervals of equal length, what is the value of AA for any subrectangle Ry?

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to - 6x +24x2- 2x 5) da…

A: The integral value of this function is 687.5.

Q: Let ∫51ex2dx (image) (a) Calculate by the Repeated Trapezoidal Rule and by the repeated Repeated…

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Q: 1Triangte with points (2.0-0-and R(or2-)find 2-Area of the ttiongle?

A: Given:  Triangle with points P1, -1, 2, Q2, 0, -1 and R0, 2, 1 is given. To Find:  1 Area of the…

Q: If the interval [4, 18] is partitioned into n = 28 subintervals of equal length, what is Δx?

A: Total length of [4,18] is (18-4)=14  Given that, n= number of partitions= 28

Q: Explain why the sum of the work over n subintervals is only an approximation of the total work.

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Q: The sides of a base and the hight of a triangular prism are measured and measurements are known to…

A: In this question we will use basic of mathematics i.e volume of triangular prism is 1/2*b*h*l and to…

Q: The hypotenuese of an isosceles right triangle is 9 inches. The midpoints of its sides are connected…

A: Given: In isosceles right-angled triangle, hypotenuse is 9 inches and the midpoint of each sides…

Q: Let 1-ff Sysin(r' dvdy . By reversing the order of integration of 1,

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Q: 3) A piece of sheet metal is rectangular,5ft wide and 8ft long. congruent squares are to cut from…

A: Given that a piece of sheet metal is rectangular,5ft wide and 8ft long. Also, congruent squares are…

Q: What are the right and left endpoints if [2, 5] is divided into six subintervals?

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Q: The distance between the centers of the 3 circles which are tangent to each other externally are 50,…

A: Here given option is different from my answer.  this question asked for area bounded by the 3…

Q: Find the VolUme oG a= (1,5,2), b= .

A: The given vectors are a=1,5,2, b=0,-2,6 and c=4,8,-1. The volume of parallelepiped is c·a×b. Now,…

Q: An open-topped box is constructed from a rectangula piece piece of cardboard that is twice as long…

A: An open-topped box is constructed from a rectangular piece of cardboard that is twice as long as it…

Q: 38. A rectangular ostrich pen that is divided into six equal sec- tions by two interior fences that…

A: The rectangle is a quadrilateral with two pairs of equal and parallel sides and four right angles. a…

Q: 3. Show that the volume of a truncated prism whose right section is a paral- lelogram is the product…

A: As per the question we have to prove that the volume of a truncated prism is : (Area of its right…

Q: The sum ofthe measures of the intenor angles of a convex quadnlateral 18

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Q: use midpoints from [1,5] with n = 4 to approximate the area

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Q: A real estate company wants to build a parking lot along the side of one of its buildings using 500…

A: In the given question we have to find sides parallel and perpendicular to the building.

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by…

A: Four square pieces at the corners of a square cardboard of size 3 × 3 feet.  And it was made into a…

Q: Compute the circumradius of a cube whose inradius is equal to 2, without using the fact that the…

A: This is a geometry problem

Q: Eight identical balls were placed inside a cubical box of side 84 such that every ball is in contact…

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Q: Twelve equally Space holes are to be drilled in a metal strip 3 1/4in.long, with 2 in. Remaining of…

A: Length of metal strip is L=314 inch 12 holes equally spaced are to be drilled with 2 inch remaining…

Q: A wire of length L is available for making a circle and a square. How should the wire be divided…

A: In the question we have to find the length of wire where it should be divided to maximize the area…

Q: the trapezoiclal rule to calculate (2x+3) ck using just one Compane with amalytical answer?

A: ∫ab f(n) dxh = b-ann for n division of interval (ab)here n =1 h = (b-a)  the trapezoid rule for…

Q: An open-topped box is constructed from a rectangula piece piece of cardboard that is twice as long…

A: An open-topped box is constructed from a rectangular piece of cardboard that is twice as long as it…

Q: Generalize Exercise 42 to the case of an n-sided polygon inscribed in a circle of radius r. Express…

A: An n-sided polygon inscribed in a circle of radius r.

Q: What are all the possible dimentions of a right rectangular prism with a volume of 108 cubic inches?

A: Given the volume of a rectangular prism is 108 cubic inches.

Q: The base of the right cylinder with r = 5.00cm and h =12.00cm is glued to the base of other right…

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Q: Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as…

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Q: In circle P with MZNPQ= 82 and NP = 3 units find area of sector NPQ. Round to the nearest hundredth.…

A: The area of the sector is, 6.44 square units  The detailed solution is as follows below:

Q: Suppose the area of the region enclosed by f(x) = x - 1, y = 0, x = 2, x = 7 is approximated by…

A: Consider the given:  fx=x3-1y=0x=2x=7 Consider the graph:

Q: O Find Valume bounded by %3D

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Q: Find 2 pOsitive real numbers x and y such that their s um is 40 and their product is as large as…

A: SOLUTION-

Q: By cutting a wedge from paper disk of radius r, a cone shaped water cup can be made by joining the…

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Q: b) Estimating the shaded area with the Composite Trapezoidal Rule with n=4 yields lunits2, while the…

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Q: A circle having an area of 530.93 square meters is cut into segments by a chord which is 5 meters…

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Q: 2 Use Bisection methed to fnd soletons acCurete within 10 3D0

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Q: ) three students have ordered a 14 m pizza. Instead of sliung it in the tradi Hional wall, they…

A: (c) is correct Three students have ordered a 14 inches pizza. They sliced the pizza by parallel…

Q: 3. Two posts, one 16 feet high and the other 32 feet high, stand 36 feet apart. They are to be…

A: Let L be the total length of wire, x be the distance of the stake from the shorter post, y be the…

Q: What is the largest absolute difference between the areas of two of the right triangles that can be…

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Q: Calculate [image] by  i) Repeated Trapezoidal Rule using 4 divisions of the interval [1, 4]. ii)…

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Q: For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular…

A: Given that an aluminium box container is in the shape of right circular cylinder and has capacity of…

Q: Show that of all n-gons having the same perimeter, the regular n-gon has the greatest area. Show…

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Q: Use the substitution method to evalu ate the integral. /2

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Q: How do I find the epxression for the perimeter of a rectangel with a length of x2 - x + 4 and a…

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Q: A DOK with a square base and no top has a volume of 200 cutic cm In the matertal for the 4 sides…

A: The side length of the cube is given as x The volume of the cube is given as 200 cubic cm. The cost…

Q: Find the area of the laigest rectangle that can be ineribed in a semicirele of radius 9 uniit. -9 ->

A: In this question we have to find area of largest rectangle that can be inscribed in a semicircle.…

Q: If an open box is made from a tin sheet 9 in. square by cutting out identical squares from each…

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Q: NP=3units find area of sector N

A: It is given that,  In a circle having center P and and NP = 3 units.  We have to find the area of…

Q: A certain pyramid has a volume of 451.6680729 cubic meters. If one side of the base is 6.5m and the…

A: It is given that one side of the base is 6.5 m and the perpendicular distance from the base to the…