Use the trapezoid rule with n = 70 to approximate | Væ4 + 1dx. You need to carefully write out -3 the sum in addition to providing the approximation. Round to five decimal places.

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Q: Use a linear approximation to approximate √48.

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A: we have to approximate the value of integral by using trapizoid rule

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Q: he method Of undetermined cients to Solue 4e- X So

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Q: Approximate 22 dr with six intervals and the trapezoid rule.

A: The trapezoid rule can be defined as: ∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn), where h=b-aNand N is…

Q: 28, g6) = 2x2 [,3],8 reclanyles

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A: Ans: The length of the curve is 77

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A: The given integral is ∫02xe-xdx here b=2 , a=0 the error formula for the composite trapezoidal rule…

Q: 5. Use the trapezium rule with 6 ordinates to estimate the value of da

A: Using Trapezoidal Rule We have to find Value of Given Integral using 6 ordinates.

Q: • Use the trapezoidal rule with n = 14 to estimate: -dx √√1+x²

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Q: Eind to approximation to Jas corect decimal an three places

A: The given expression is 253. Let y=x13, where x=27,∆x=-2 as 25=27-2. That is, y=2713=3 Obtain ∆y:…

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A: we have to use the graph to find the approximate solution of ex=4.

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A: Given, function and interval

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Q: The vertical distance covered by a rocket from t = 5 to t = 30 is given by 30 150000 2000 In 9.8t dt…

A: Consider the provided question, x=∫5302000ln150000150000-2100t-9.8tdt                   ......1here…

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A: Note : - As per our policy we can answer only three sub-parts, please make a new requests for other…

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Q: The vertical distance covered by a rocket from t 5 to t 30 is given by %3D 30 150000 2000 In 2100r -…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.