1) Find the arc length for the following curves. a. y2 = 4(x + 4)3, b....
Find the arc length for the following curves a. y2 = 4(x + 4), b. x = + OSxs2 1<ys2 Sticky N o Cisco W... Inbox S Pulse Sele Agile Pro
Find the arc length of the curves on the given interval 1 17. x = + for 1 Sys2 4 8y2
Assignment 4: (Arc Length and Surface Area - 7.3) 1. Consider the plane curve C defined by y=e" between y-1 and y-e. (a.) Set up, but do NOT evaluate, an integral with respect to y for the arc length of C. (b.) Set up, but do NOT evaluate, an integral with respect to x for the arc length of C. Set up, but do NOT evaluate, an integral for the area of the surface obtained by rotating C about the...
arcsin x dx Hint: Use integration by parts. 2. Find the arc length of the portion of the parabola y = 10x - x that is above the x-axis. Find the volume of the solid of revolution if the region between the curves 3. 4. y = x and y = 4x is rotated about the x-axis. Find the area under the curve defined by the experimental data below by using Simpson's rule. MAT2691/101/3/2019 5. Simplify 3 -2 7 4...
1. For the following equation, find the center, vertices, foci, transverse axis, and asymptotes, and sketch the graph: 2. Consider the set of parametric equations (a) Graph in the following window: TMIN--3.74, TMAX- 3.74, TSTEP = 0.02, XMIN =-10, XMAX = 10, YMIN =-7, YMAX = 7, Sketch the graph. (b) At, find (x, y) and dy/dx. Write the equations of the lines tangent to and normal to the graph at (c) Find the length of the curve from to...
#2 & #3 #2 Find the length of the curve y = In (sinx), II sx = 7 #3 Find the area of the surface obtainer by rotating the carve about the x-axis, x=1+24² , l=y=2
Consider the curve y = 4 + (2x - 1)3/2 on the Interval 0.5 5 * 5 1. The graph is shown below. 4.5 0.4 0.6 0.8 1 1.2 [4] (a) Find the arc length of this curve on the interval 0.5 SX S1. [3] (b) Set up but do not evaluate an integral for the surface area obtained by rotating this curve on the interval 0.5 SXS l about the x-axis.
9. Find the area of the surface by rotating the curve y2 -1 = x; 0 < x < 3 about the X-axis.
(1 point) Find the length of the curve defined by y=18(8x2−1ln(x))y=18(8x2−1ln(x)) from x=4x=4 to x=8 (1 point) Find the area of the region enclosed by the curves: 2y=4x−−√,y=4,2y=4x,y=4, and 2y+1x=52y+1x=5 HINT: Sketch the region! (1 point) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=2+1/x4,y=2,x=4,x=9;y=2+1/x4,y=2,x=4,x=9; about the x-axis. (1 point) Find the length of the curve defined by y = $(8x? – 1 In(x)) from x = 4...
2: Consider the curve with equation x2/3 + y2/3 = 1. -0.5 0 -0.51 a: Find the exact length of the curve. (Make good use of the symmetric property of the graph. ) b: Find the surface area of the solid obtained by rotating the curve about y-axis. (Watch out for the symmetric property of the graph.)