a) Using Simpson's rule with the "n" number of strips to calculate approximate area under a curve as shown by the following definite integrals. Where "n" must be even and positive integer between 4 and 10. 1+ x2 b) Using the above definite integral to calculate the approximate area under a curve by Trapezoidal rule with the "n" number of strips where "n" must be even and positive integer between 4 and 10. c) Compare your result of part (a) and part (b) that which answer is more accurate? Justify your answer with by valid reason.

Q: x= 3+ y^2,x=2- y^2, y = 1, y = -2 O 7 sq. units O 8 sq. units O 9 sq. units 10 sq. units

A: We have to evaluate the area bounded by the curves x=3+y2 and x=2-y2 and the lines y=1 and y=-2. We…

Q: 1 f(x) =; 1+ 7. Find the area under the curve

A:

Q: Approximate the area under the curve y = x² from x = 4 to x = 6.5 using a Right Endpoint…

A: The graph is shown.

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A:

Q: y = -x^2 + 4x, y = x^2 - 6x + 5, x=0, x= 1 O 2.012 sq. units O 2.022 sq. units O 2.032 sq. units…

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Q: Find the area inclosed between the curve y rom x = 0 to x = ? -(answer with dra 2

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Q: Follow the graph to answer the question in photo.

A: The objective of this question is to calculate the percentage error when approximating the area…

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A:

Q: y = -x^2 + 4x + 3, y = -x^3 + 7x^2 - 10x + 5, x = 1, x=2* 4.083 sq. units ○ 4.183 sq. units O 4.283…

A: We know that the area between the curves can be evaluated by double integration method. We will find…

Q: (8) Suppose m > 0. Find the coordinates of the points (in terms of m) where y = mx in- tersects y =…

A: Here we have to find the area.

Q: 10. (8x + 3) dæ

A:

Q: 5. Using n = 4 rectangles, estimate the area under f(x) = 2x² +5 to the x-axis on the closed…

A:

Q: The value of k so that the area under the curve of the function f(x)=ksinx from X= 2 to X= is equal…

A: To find the value of k so that the area under the curve of the function f(x) = ksinx from x = π/2 to…

Q: A 25-year-old woman burns 350 - 60t cal/hr while walking on her treadmill. Her caloric intake f…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1/ Find the area of the region enclosed between the curves y= 2x2+10 and y=4x+16 and ,x=-2 and x=5?…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Estimate the area under the graph of f(x)=5/x from x=1 to x=7. Approximate using 6 rectangles.A.) If…

A: There are 6 rectangles  So each rectangle is of width = (7-1)/6=6/6=1 So, endpoints are…

Q: Use finite approximation to estimate the area unde the graph of y = 3x² and above the graph of f(x)…

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Q: what is the area between the following using horizontal strip? y^2= 3x and y = x^3

A: Horizontal strip

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.