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.
Mth 229, Calculus Computer Laboratbi The length of a curve defined by the graph of fx) from x-a to x b is givell U definite integral +dx shown below. Find the length of the sine curve from 0 to 2π as we can see that 7.44 is a Using the sum of the lengths of the selected sides of the upper bound for this of the selected sides of the three triangles Using the lengths lower bound for this arc...
1. For the curve defined by y=725 - r from x = 0 to x = 4 Set-up the integral that finds the length of the arc formed by the curve. You do not need to simplify the expression undemeath the radical. Do not integrate! b. [6 pts) Set-up the integral that finds the surface area of the solid generated by revolving the curve about the x-axis, You do not need to simplify the expression underneath the radical. Do not...
ili Quot 12.3.14 Find the arc length parameter along the curve from the point where t = 0 by evaluating the integral s - Sivce)| dr. Then find the length of the indicated portion of the curve. -jwel de r(t)- (5 + 3)i + (4 +31)j + (2-7)k, - 1sts The arc length parameter is s(t)=0 (Type an exact answer, using radicals as needed.)
Choose the correct integral for finding the length of the curve given by the vector equation, r(t) = 3i+(2+1)j + (1 +e')k, Ostsi Select one: 0 o S'V9+972 +ezi de o S' (312 +e')dt o S"(3/1 +82 +e') di 0 O No correct answer S'V914+e21 dt 0
Find each integral. 3/4 3. ſ12cos 2x dx 4. x cosxdx 0 5. Find the area under the curve y = sin’xcos x and above the x-axis from x = 0 to x = 1/2. [Hint: Use substitution to evaluate the integral representing the area.] she courseHero.com 70.5 This y resource waren 1/3 TT/2
Let the curve C in the (x, y)-plane be given by the parametric equations x = e + 2, y = e2-1, tER. (a) Show that the point (3,0) belongs to the curve C. To which value of the parameter t does the point (3,0) correspond? (b) Find an expression for dy (dy/dt) without eliminating the parameter t, i.e., using de = (da/dt) (c) Using your result from part (b), find the value of at the point (3,0). (d) From...
). Write the definite integral representing the length of the curve with parametric equations x=fl.y=g asi Sb. (a) [10]?dt [1+S'(12 de afv+00F4 va ant.5(e) de 109/1+ [8°(6)de in jur(e) +3'(6)]? de (0) $(1+[*()}) de miVirof +8"(t)?de
Find the integral that represents the length of the parametric curve defined by x = e' –t, y = 2e2, 0 <t < 1. Select one: o al. Vre! – 1° +1 dt ObſVe4 – 2e + 2 de o af Vibe' + e² - 2te + 1² de O d. ſ' vroeken? + e= nº di o of Vie + 1 di O !!! Vet – e' + 1 de o ' viel + 1) di on I' v2e...
SCalcET8 16.2.015. Evaluate the line integral, where C is the given curve. ∫c z2 dx + x2 dy + y2 dz, C is the line segment from (1, 0, 0) to (3, 1, 4)