(1 point) Let С be the intersection curve ofthe surfaces : = 3r+ 5 ar d z. +Zu t i, oiented cla kvint astenitoi 15 mputeFdr (o) directly as a lihe inteal AND (b) a double egral by uwsing Stokes Th...
15. (1 point) Let C be the intersection curve of the surfaces z = 3x + 5 and x2 + 2y2-1, oriented clockwise as seen from the origin. Let F(x, y, 2) (2z - 1)i +2xj+(-1)k. Compute F.dr (a) directly as a line integral AND (b) as a double integral by using Stokes' Theorem
question #6 1. Sketch the following surfaces: (a) z-+y2/9 (b) a2 =y2 +22 (c) 2/4+(y-1)2+(z+1)/9 1 (d) r2+y-22+1 0 (e) -y2+-1 0. 2. Find an equation for the surface consisting of all points that are- point (1,-3, 5) and the plane r = 3. 3. Sketch the curve F(t)<t cos(t), t sin (t), t > 4. Find a vector equation that represents the curve of the intersec r2y =9 and the plane y + z = 2. 5. Find a...
-1-1 arctan n n" n!5* (c) Find the interval of convergence and radius of convergence for )0301 i )e-3r) (d) Use the geometric series to write the power series expansion for i. f(1)- 2-4r, centered at a = 0. i.)4 centered at a-6. (e) Write the first 4 nonzero terms of the Maclaurin expansion for i, f(z) = z2 (e4-1) ii. /(x) = cos(3r)-2 sin(2x). (0) Use the Taylor Series definition to write the expansion for f(a)entered at (8) Use...