Use Simpson’s Rule with n = 10 to estimate the arclength of the curve. Compare your answer with the value ofthe integral produced by your calculator. y= x sin x  , 0 ≤ x ≤ 2π

Q: Find the length of the curve using formula.  y= ln (cosx) bounded by 0 and pi/4

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Q: Find the arc length of the graph of the function f(x) = 9√³ from z = 5 to z = 7. arc length=

A: The formula to find the arc length of a curve y=f(x) from x=a to x=b is given by

Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 Preview 5/3…

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Q: Approximate L Ve sin.xcos 2xdx Using trapezoidal rule. Use h = 10 . (Do calculation in 4 decimal…

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Q: Find the arc length of the graph of the function over the indicated interval. x=(1/3) (square root…

A: Arc length formula L=∫ab1+dxdy2 dy first we take derivative with respect to y x=13y(y-3) apply…

Q: 8. Find for y=√√4x (arcsin(x²+2x)) dx

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Q: Use a computer algebra system to plot y2 = x 3 - 4x for x and y between -4 and 4. Show that if dx /…

A: y2=x3-4x

Q: Find the surface area of revolution of 7 cos(5θ ) between - π/10 and  π/10, about the x-axis using…

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Q: The derivative du forthe funchion 4=cot vi4-x

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Q: Find the arc length of the graph of the function f(x)=5√x3 from x=3 to x=7.

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Q: A gauge at the end of a pier measures and tracks the water depth d (in feet) over time. Regression…

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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.