(b) Suppose we wish to estimate the area 4 i dr using the Trapezium rule. Furthermore, suppose we want to make sure that the error in our estimates is such that eT (n) <1 x 10 What is the smallest of n required to do this?

Q: 36 Calculate the area of cross section using numerical techniques for a rive 200 m wide. if the…

A: calculate the area of cross section using numerical technique for a river 200m wide. if the depth d…

Q: Question 5 > Set up the definite integral required to find the area of the region under the graph of…

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Q: Problem 3: Find the volume generated by rotating the region between the graphs of y = Vx, x = 0, x =…

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Q: 3 2. Find the area bounded by the two curves y = x°- 6x²+ 8x and y = x- 4x.

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Q: Question 10 Find the area enclosed between y = 3x and y = x3 -6-

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Q: 4. a. Draw a region R bounded by the curves y = x² +4 and y=x+2, then detemine its area. b. Find the…

A: We have to draw the region R bounded by the given curves. Then, we have to find the area, and then…

Q: PROBLEM 5.2: R is the region bounded by the following graphs: A1:y = /25 – x² x2 A2:y = - - 2 A3: y…

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Q: Question 12 Find the area of the shaded region. (3x + 2) (2x + 3) (x - 8) (4x - 5) O 5x2 + 24x +1 O…

A: Given that:  To find:  Area of Bigger rectangle-Area of Lower…

Q: In(7x) – 1 Find the area of the region lying between the a-axis and the curve y = to the right of…

A: We have to find the expression of the area of required problem.

Q: 4. Referring to problem 3 above, estimate the minimum number of subintervals needed to approximate…

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Q: If the area bounded by y = x²; x = k (k > 0); and the x-axis, is equal to 8/3, find k.

A: From the given problem:   y=x2;x=k And A=83   So, we can write as: y=k2 Now using double…

Q: 1. Find the area lying above the x-axis under the parabola y = 4x – x2.

A: The area lying above the x-axis under the parabola y=4x-x2

Q: QUESTION 4 Calculate the area between y = 7 - x² and x-axis from x = -1 to x=2 as shown in Figure 1.…

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Q: Question 4. Find the area enclosed between the graphs = x² +1 and y = x+ 3. %3D

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Q: Find the area bounded by y = x3 +6, y = x and y-6 www. -X.

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Q: Question 42 Solve the area of the region Bounded by y=x2 – 3x + 12 and by y=18+x-x2 199/3 63 c) -199…

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Q: Question 2 Find the area of shaded region bounded by 3y = x-3 and x = y² + 3.

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Q: Question 10 Find the area enclosed by the curves y = 2x √3- π ® ²-√√4-. (A) А Im 21/12-4/09/20 7x D…

A: The equation of curves are: C1: y = 11-9x2C2: y = 2 To evaluate: The area enclosed by the curves.

Q: Consider figure 1 from the previous question, find the area bounded by the curves on the interval -…

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Q: (In x) – 1 Find the area bounded by the curve y= and its asymptotes. A = ∞

A: Find the area bounded by the curve y=ln x-1xA=∞ and its asymptotes Given curve, fx=y=ln x-1x→ay…

Q: In(6z) – 1 Find the area of the region lying between the x-axis and the curve y = to the right of…

A: The area of the region lying between the x-axis and the curve yx=ln6x-1x2 to the right of the line…

Q: If L2 is the sum of the approximating rectangles for the area under the curve y = | cos x| from 2n…

A: Solve the following using left end points approximation

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value…

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Q: 1) Determine the area of the largest possible rectangle whose base is on the x-axis and the top two…

A: Given the rectangle whose base is lies on x axis and the top two corners lie on the curve y=9-x2

Q: 3 2 Find the area bounded by the two curves y = x³-6x²+ 8x and y = x² - 4x

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Q: Problem 5 a) Apply the composite trapezoidal rule to compute the following integral. Decompose the…

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Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value…

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Q: 5. Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the…

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Q: 17 1. Find the area between the curves y=- 9+x 13 and y=- 1+x

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Question 3: Find the area between the curve y = 4 – x² and the line y = -x + 2.

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Q: 2 3. Find the area of the unbounded region between the x-axis and y=- for x26. (x-4)

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Q: 4. Referring to problem 3 above, estimate the minimum number of subintervals needed to approximate…

A: We will use the formulas for the error upper bounds in case of Trapezoidal rule &amp; Simpson's…

Q: Problem 8. Find the area of the region bounded by the given curve and lies in the specified sector.…

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Q: 4) The area between y = In x and y = 2ln x up to x= e is:- = 7 A) B) = 1

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: Problem 3: Find the area of the region under the line y = 2x over the interval 0 <x< 2. %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In Problems 47 and 48, sketch the region whose area A is given by the formula. Do not try to…

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Q: Question 10 If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis,…

A: Horizontal element

Q: 2. Find the area bounded by the curve ay² = x³ and the line x = 4 a. 3. Find the area of half an…

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Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value…

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Q: 1. Find the area between y = - x² + 4x and y = x² - 6x + 5. Graph and shade the area required.

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Q: 17 1. Find the area between the curves y=- 9+x* 13 and y = 1+x*

A: Here we have to find Area bounded by the curves y=179+x2..................... (1) and y=131+x2…

Q: Question 2 Consider the curves y = mx and y = x³, where m is some positive real number. Find the…

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Q: Problem 1: Determine the area of the region bounded by y = x² and y = -x? + 6x. Problem 2: Determine…

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Q: 4. Referring to problem 3 above, estimate the minimum number of subintervals needed to approximate…

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Q: 1. Sketch the region el/x S = (x, y)|0 < x < 1, 0 <ys roughly. Find its area(if the area is finite).

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Q: Question 4 Compute for the area between z = ±1.43.

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Q: Question 16 Find the area of the region bounded by the curves y = 1 and y = x+ 12. **Note: You…

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Q: The rectangle shown here has one side on the positive y-axis, one side on the positive x-axis, and…

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Q: Find the area of the region bounded by the curve y = x³ – 2x² – x + 2 and the x-axis for -1 <x<2, as…

A: We will solve this question by using double integration. where,  y=0 and y=x3-2x2-x+2 and x lies…

Q: Problem 4 Find the volume generated by rotating the region between the graphs of x = , x = 0, and y…

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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.