Use technology to find b so that the arc length of y = x^3 over the interval [0, b] where the integral is equal to 6. An approximate answer to three decimals is acceptable.
Use technology to find b so that the arc length of y = x^3 over the...
(a) Use a graphing utility to graph the curve represented by the following parametric 6. x y over the interval -2sts2. (b) Write an integral that represents -3t-1 the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically.) (c) Use the numerical integration capability of a graphing utility to approximate the value of this integral. Round your result to the nearest tenth. (Be careful with your notation, show orientation arrows on your...
what is the answer? (1 point) Finding the length of a curve. Arc length for y = f(x). Let f(x) be a smooth function over the interval [a, b]. The arc length of the portion of the graph of f(x) from the point (a, f(a)) to the point (b, f(b)) is given by V1 + [f'(x) dx Part 1. Let f(x) = 2 ln(x) - Setup the integral that will give the arc length of the graph of f(x) over...
6. (a) Use a graphing utility to graph the curve represented by the following parametric x=езі, over the interval-2sts2.(b) Write an integral that represents tions: the arc length of this curve over the interval -2sts2. (Do not attempt to evaluate this integral algebraically) (e) Use the numerical integration capability of a the value of this integral. Round your result to the nearest tenth (Be careful with your notation, show orientation arrous on your curve, and show your steps clearly.) utility...
Find the arc length of the curve y - x over the interval 1,12 (a) 8 points Using the Fundamental Theorem, Part 2 (b) 2 points Use your "DEFINT" program to find M,1, T1 and Sz2 (c) 2 points Using your TI-84's built-in Integral calculator using MATH >>> MATH >>9: fnlnt (d) 2 points In your text book, there are formulas that give the maximum er in approximations given by MN, T, and Sy for the integral A a f(x)...
a. Write and simplify the integral that gives the arc length of the following curve on the given integral. b. If necessary, use technology to evaluate or approximate the integral. z 8 y 2 sin x on 9' 9 a. Set up the integral that gives the arc length of the curve. Select the correct choice below and fill in the answer box to complete your choice. a. Write and simplify the integral that gives the arc length of the...
Find the arc length of the graph by partitioning the x-axis. {(x2 + 133/2, from * = 3 to x = 6 y = 4. [-/3 Points] DETAILS SULLIVANCALC2 6.5.029. For the function, do the following. y = 16 – x2, from x = 0 to x = 1 (a) Use the arc length formula (1), dx, to set up the integral for arc length s. SV 3+ [fc] 1) ox S = (b) If you have access to a...
Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) Y-(w) 6 )
Use at least 4 decimal places in your calculations. The arc length of a curve y = g(x) over interval as xsb is given as: sa 1+ (g'(x))2 da Approximate the arc length of g(x)= e " over osxs 1 using the composite Simpson's 1/3 rule with 5 points. At each point, calculate g'(x) using central difference formula of O(h2) and step size 0.1. Use at least 4 decimal places in your
Find the arc length of the graph of the function x=; = (-3) Vy over the interval 1 Sys36 7.6666666667E+16 1E+15 7.9333333333E+16 1E+15 O 115 3 119 3 230 9
Find the arc length of the curve on the given interval. x = x2 +8, y = 4x2 + 6, -15:30 432 216 0* (19/6-1 216 o cookies