Use the Trapezoidal Rule to estimate the number of square meters of land in a lot, where x and y are measured in meters, as shown in the figure. The land is bounded by a stream and two straight roads that meet at right angles. m2 10 20 30 40 50 60 70 80 90 100 110 120 y 76 82 83 77 67 68 70 72 69 55 42 23 y Road 80 Stream 60 40 Road 20 20 40 60 80 100 120

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(2, 0, –1), Q(4, 1, 0),…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2,1,0) Q(2, 3, 2)…

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Q: Consider the right triangle withvertices (0, 0), (0, b), and (a, 0), where a > 0 and b > 0.…

A: Given right angle triangle has vertices  (0, 0), (0, b), and (a, 0), where a > 0 and b > 0.…

Q: Use the Trapezoidal Rule to estimate the number of square meters of land in a lot, where x and y are…

A: The given data is: ,,

Q: Let R be the region in the plane enclose

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Q: Sketch the region in the z-plane represented by the following set of points: |z+i|+|z-i|≤3

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Q: a =i +j +2k,b =i+k,č = j +k.

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Q: distance from vertex A to the centroid?

A: Answer: Given, ADis a median.andBC=1Q units15In A ADB,AB²= AD²+DB²GuseDB:BCDB2 २DB 102 2CADIS(…

Q: Find the volume of the parallelepiped (box) determined by u, v, and w while: u = 10i + 20j + 50k, v…

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Q: Determine the dilation scale factor that would partition the directed line segment AB into the given…

A: Scale factor will be equal to .

Q: Find the perimeter of isosceles ACAT if M and W are midpoints. A 3x 2x + 2 M W y – 2 2y T

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Q: Determine the dilation scale factor that would partition the directed line segment AB into the given…

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Q: Consider AABC with its centroid at point E and median at AD. What is the length of AE if AD=30? 10…

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Q: Find the points on the cone z? = x² + y? that are closest to the point (3,2,0)

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Q: 3) Prove that A is uniform pentagon and B is a half of a circle, also determine the areas of A & B.…

A: Here I am attaching image so that you understand each and every step.

Q: A space has the line element, ds? = v*du? +u*dv² . Determine whether this space is flat or curved.

A: It is given that the line element ds2=v2du2+u2dv2. it is required to determine that whether this…

Q: Use the Trapezoidal Rule to estimate the number of square meters of land, where x and y are measured…

A: The formula for Trapezoid rule is h2y0+yn+2y1+y2+y3+..... where h=b-an

Q: Consider the set A = {(u, v) E R? : u² + v² < 3} %3D Then, the area of the surface o : A R3 defined…

A: Introduction: Let us suppose that a surface is σ(u, v), then the area of this surface is given by,…

Q: Find the probability that a point (X, Y, Z) lands in a a hollow parallelepiped whose outer surface…

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Q: Classify the following quadrilateral below. O Rectangle O Right Triangle Trapezoid O Kite e Type…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2,1,0) Q(2,3, 2)…

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Q: A car laps a race track in 84 seconds. The speed of the car at each 6-second interval is determined…

A: Given that, A car laps a race track in 84 seconds. The speed of the car at each 6-second interval is…

Q: Evaluate (image) over the sphere D = { (x,y,z) | x2 + y2+z2 ≤ R2 }

A: Given integral is ∭x2+y2+z2xyzdxdydz over the sphere D = { (x,y,z) | x2 + y2+z2 ≤ R2 } Change…

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2, 1, 0) Q(2, 3,…

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Q: Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v =…

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Q: Find the local minimum value of f(x, y) = 4 + a7 + y – 7xy. %3D Tüulkee .7 vorel minim um değorin:…

A: Use double derivatives to check weather critical points is relatively minima or maxima.

Q: Use the boxing method as suggested in Exercise 33, to find the area of ARST, with R(-2, 4), S(-1, –…

A: Given: To find the area of ∆RST,  Using the boxing method      with  R(-2,…

Q: Find the perimeter of isosceles ACAT if M and W are midpoints. A 3x 2х + 2 M, W y – 2 2y T leonardy

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Q: Suppose that A, B, and C are thecorner points of the thin triangular plate of constant density…

A: we know that for a triangle medians intersect at center of triangle and centerC of triangle whose…

Q: Find the volume of a parallelepiped if four of its eight vertices are P(0,0,0), Q(3, 4, 0), R(0, –3,…

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Q: 2. Find the area of the rhombus. di - (6x + 4) cm 42 - (10x + 10) cm a. (200x') cm² b. (30x² + 50x…

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Q: Find the area of the parallelogram spanned by v = (1, 1, 1) and w = (0, 0, 2).

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Q: Using the data in the table below and the best combination of trapezoidal and Simpson's rules,…

A: Given table: Consider time as x and velocity as y x 1 2 3.25 4.5 6 7 8 9 9.5 10 y 5 6 5.5 7 8.5…

Q: Find the volume of the parallelepiped shown having    u = 3i − 5j + k ,            v = 2j − 2k and w…

A: Givenu=3i−5j+kv=2j−2kw=3i+j+k

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

A: Solution:-  The given vector is  u→=i+2j-kv→=-2i+0j+3kw→=0i+7j-4k

Q: Let C denote the boundary of the square whose sides lie along the lines x = ±2 and y = ±2 where C is…

A: Let     f(z) = z  is analytic within and on the square and z=-12 is interior to the square, so

Q: Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v =…

A: t =3j–4j–6k, u=3i–7j–7k and v=5i+ j+3kTo find the volume of the parallelepiped

Q: Evaluate ffp(4xy + 1) dA, where R is the region in the upper half-plane bounded by the circles a? +…

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Q: ...) The figure below shows contours of g(x, y) on the region R, with 9 < x < 15 and 2 < y < 8. 7 6…

A: Consider the provided question, R=x,y| 9⩽x⩽15 and 2⩽y⩽8Using ∆x=∆y=2, break the region R into 9…

Q: Let W = Span{u} where u -2. Let y = |1, find the distance from y to W L3]

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2,1,0) Q(2,3, 2)…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2, 1, 0) 2(2, 3,…

A: Follow next step

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(-2, 1,0) Q(2, 3, 2)…

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Q: (b) Prove the volume of a parallelepiped with a vertex at the origin and edges ü,v, and w is given…

A: In the question we have to prove the formula.

Q: Find the envelope of the plane 1, C + u + a + и b + u mere u is the parameter.

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Q: Draw AABC and label the midpoints of AB, AC, and BC as X, Y, and Z. respectively. Let P be the…

A: We shall draw the triangle, along with all other lines in order to visualise the problem better…

Q: The volume of the parallelepiped that has u, v, was adjacent edges u = 3i +j+ 2k , v = 4i + 5j + k,…

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Q: Construct a clamped cubic spline passing through the points d, e and fwith f(x)=x³ + 1 a= 0 . .b=…

A: Consider the given equation: fx =x3 +1

Q: Use the Trapezoidal Rule to estimate the number of square meters of land in a lot, where x and y are…

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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.