y = x e^(-x) + 4
dy/dx = (1 - x) e^(-x)
(dy/dx)^2 = (1 - x)^2 e^(-2x)
1 + (dy/dx)^2 = 1 + [(1 - x)^2 e^(-2x)]
√ [1 + (dy/dx)^2] = √ {1 + [(1 - x)^2 e^(-2x)]}
Arc length = ∫ √ [1 + (dy/dx)^2] dx over [a, b]
= ∫ √ {1 + [(1 - x)^2 e^(-2x)]} dx over [0, 5]
Evaluating the above integral with n = 10 rectangles using Simpson's rule, we get
Arc length = 5.1158
Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with ...
Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to six decimal places.) x = y + y + 5, 13252
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) S 2 + cos(x) dx, n=4 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read Talk to Tutor
Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare your answer with the value of the integral produced by your calculator. (Round your answer to six decimal places.) y = x + sqrt(x) ,4 ≤ x ≤ 5
4 Compare these results with the approximation of the Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with integral using a graphing utility. (Round your answers to four decimal places.) 1/2 sin(x) dx Trapezoidal Simpson's graphing utility Need Help? Read Watch T alk to a Tutor Submit Answer Practice Another Version -/3 POINTS LARCALC11 8.6.505.XP.MI. MY NOTES | ASK YOUR TEACHER Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n=4. Compare these results...
4. -1 POINIS Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n Round your answer to four decimal places and compare the results with the exact value of the definite integral dx, 4 Trapezoidal Simpson's exact Need Help? Read Talkie Tur
10. [-/8 Points) DETAILS LARCALC11 7.4.019. Find the arc length of the graph of the function over the indicated interval. + 273/2, Osy54 Need Help? Read Talk to a Tutor 11. [-/8 Points] DETAILS LARCALC11 7.4.015. Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) x = \n (snew). (1 Need Help? Read it Watch it Talk to a Tutor 12. (-/10 Points DETAILS LARCALC11 7.4.013.MI.
(1 point) Book Problem 21 Use Simpson's Rule with n = 4 to estimate the arc length of the curve y = 2e-2x, 0 < x < 2. L = Sof(x)dx where f(x) = The estimation S4
(1 point) Book Problem 21 Use Simpson's Rule with n = 4 to estimate the arc length of the curve y = 0.5e-20, 0 < x < 2. L = Să f(x)d« where f(x) = The estimation S4 =
LarCalc11 7.4.013.MI -/1 points 3. My Notes Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) [1, 6 y У + 6x 10 Need Help? Master It Read It Watch It Talk to a Tutor My Note -/1 points LarCalc11 7.4.018. 4. Find the arc lenath of the graph of the function over the indicated interval. (Round your answer to five decimal places.) In(), Into yIn Need Help?...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.