If the mth term of an AP is 1/n and the nth term is 1/m .show that the sum of mn terms is 1/2 (mn+1)

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: "An engineer is using a machine to cut a flat square of Aerogel of area 144 sq. c.m. If there is a…

A: Square have an area of 144 cm2, hence the side is 12 cmGiven that ε=8, a=12 and L=144The engineer…

Q: A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in.…

A: A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in.…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 203 – 96a? - lx - 2)…

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Q: an open box is to be made from a 16cm by 30 cm piece of cardboard by cutting out squares of equal…

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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…

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A: To Determine: find the largest diameter for which the process can be used. Given: the diameter of a…

Q: A regular hexagonal shaped target with sides of length 14 cm has a circular bull’s eye with a…

A: Area of Bull's Eye a=π4×d2=π4×32a=π4×9a=227×94a=9914 cm2 Area of Hexagon A=332s2=332142A=2943  cm2

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: onvert 9.8cm to kb (kilobytes) se Diminutional anylsis ( show work)

A: We want to convert 9.8 cm to kb

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Q: The area of a triangle with sides of lengths a and b and contained angle θ is A = 1 2 absinθ (a) If…

A: The area of a triangle with sides of lengths a and b and contained angle θ isA = 12absinθ   (a)…

Q: 3) Find the tangent of 15° using the sum/difference formula

A: Given, tan15∘ This can be written as tan15∘=tan45∘-30∘

Q: is expanding with time. If = 5 cm2/s, what is at =6? 6. A circle with area A =

A: Answer and explanation is given below..

Q: Suppose there are approximately 2.0 x 10 asteroids in the asteroid belt that have a diameter larger…

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Q: (7) The radius of a sphere was measured and found to be 20 cm with a possible error in measurement…

A: Given:                      Radius (r) = 20 cm                                    ∆r = ±0.05 cm

Q: It has been found from experience that an average of six customers use the drive- through facility…

A: Introduction to Poisson distribution: A random variable X is said to have a poisson distribution…

Q: When a diprotic acid, H2A, is titrated with NaOH, the protons on the diprotic acid are generally…

A: Since you have asked a question with the multiple subparts we will solve the first 3 subparts. If…

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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: A ball returns two-thirds of its preceding height on each bounce.  If the ball is dropped…

A: Here, the ball is dropped from a height of 6 m., it will rebound to a height of 23rd of initial…

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Q: A pizza is being divided into three unequal slices (sectors). The largest slice has an arc measuring…

A: An Arc of a circle is any portion of the circumstance of the circle.…

Q: = Boosi 28

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Q: Find the volume of the th

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Q: The width of an irregular curve is 1 mm, the initial leftmost height of the rectangle is 49 mm and…

A: It is provided that the width of the curve is 1mm and the total number of rectangles under it is…

Q: 4. a. Explain how to decompose the large rectangle in Figure 12.5 into 4 groups with 5 squares in…

A: To obtain the required decomposition and to determine the value of the area (hence the required…

Q: 2. A printer needs to make a poster that will have a total area of 200 in? and will have 1-inch…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Consider a square based pyramid with a height A and a base length I, as shown below. If we slice the…

A: Let us draw the figure and name it

Q: ' If there are 1 4 cu. ft. in a capacity ( in bushels ) of a hopper in the shape of an inverted…

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Q: There is a rectangle whose shape is changing over time. In the initial time to, it is a perfect…

A: Solution: Let length = l and width = w At initial time to it is perfect square. Area of square = 100…

Q: A 3-ply core/sheath yarn consists of a 250 denier (core) yarn, and two 200 denier (sheath) yarns.…

A: Given:   3-ply core/sheath yarn consists of a 30/1 (core) yarn and two 20/1 (sheath) yarns.   From…

Q: If we partion [1, 23 ] into 80 subintervals of equal length and [14, 40 ] into 45 subintervals of…

A: IDEA: Length of interval (a,b) is b-a. if we want n sub intervals of equal length divide b-a by n…

Q: 4- If the leng th of the edge of a cube IS Thcreasmg atarate of sem/s, hemtast is the volume of the…

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Q: The dimensions of home plate at a random baseball field in the United States are shown. Find the…

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Q: if an open box is made from a tin sheet 7 in. square by cutting out identical squares from each…

A: Given that a open box made from a tin sheet 7 inch.and determine largest box that can be made. Here…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to L. (- a* – 14a³ – 60x²…

A: The formula for error bound for the trapezoidal rule is E≤kb-a312n2 Error bound formula for…

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A: Polya's four step method says: Step 1: Understand the question. Step 2: Form a solution. Step 3:…

Q: . A cylinder (not shown) has radius 2.5 cm and lateral area 20n square centimeters. What is the…

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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: How many subintervals are needed to get an approximation by the trapezoid method that is accurate…

A: How many sub intervals are needed.

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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: 7. Use the trapezoid rule with n = 60 to approximate the sum in addition to providing the…

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Q: The volume of a cube is reduced by how much if all sides are halved?

A: Volume is the space covered by the object or any geometric figure in a three dimensional space. It…

Q: What is m∠MNT?

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Q: The dimensions of home plate at a random baseball field in the United States are shown. Find the…

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Q: If =1 cu cm (not actual size), how many cu cm will be needed to fill each bo 1. 2. 3. volume = cm3…

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Q: 3 cm 14 cm

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Q: 11) In the right regular hexagonal pyramid, suppose that each base edge measures 8 m and the apothem…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.