Find the arc length of the graph by partitioning the x-axis. {(x2 + 133/2, from *...
(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...
(10pts) Find the arc length of the curve y = (x2 +1)3/2,0 5 x 51 using Formula L = S V1 + (f'(x))2 dx
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...
Please show your work. 3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l to x = 4 . What method do you think you would need to use to 2 evaluate this integral analytically? Do not evaluate this integral. 3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l...
QUESTION 3 Which of the following represents the arc length of y=cosx on the interval OS XST? 7T $* V1-9sin®x dx " V1 +3sinxcos?x dx °S. "VI V1 +9cos4x dx TT O S 1- 3sinxcos2x dx 0 S" 1+9sin?x cosºx ox
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
4. Determine the integral which computes the arc length of the curve y = sin(x) with 0 < x <. TT A '1 + sin2(a)dx so $." .TT B 1 + cos2(x)dx С [* V1 – cos? (7)dx D| None of the above.
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)...
(2 points) Find the exact length of the curve y = In(sin(x)) for #/6 <</2. Arc Length Hint: You will need to use the fact that ſesc(x) dx = In|csc() - cot(3) + C.
1. Find the arc length of the graph of the function over the indicated interval. (x2 + 2)3/2 3 -;[0,1]