QUESTION 3 Which of the following represents the arc length of y=cosx on the interval OS...
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.
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...
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...
(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
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...
QUESTION 10 Solve cosxtanx + cosx = 0 O* 37 4 + 2n and x = 771 4 +2nIt where n is an integer 371 TT ox=+ + 2n and x = + 2n it and x = Al 57 + 2n and x = +2nIt where n is an integer 3 TT 771 o *= 2n 7 and X = TT + 2n it and x = + 2n and x = - SM 17 dx=77 +2nIt where n...
practice question, i was told that it should actually read as: y=c_1(cosx) + c_2(sinx) + xsinx+(cosx)ln(cosx) thank you in advanced 3. Show that y = cicos(x) + casin(x) + xsin(x) + (cos(x))/n(cos(x)) is the general - TT solution to y" + y = sec(x) on the interval ( -). 2 2
(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...
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
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...