Consider: 5x2-y’ds, C:r(t)=<2t, – 1), te[0,11 Which one of the following "regular" integrals represents the above...
Consider: S x2-yds, C: r(t) = (e"? 2, 1+e'), te[0,2] Which one of the following "regular" integrals represents the above line integral. dt O a. Ob. V 4 dt 0 S'Vertel dat O d.o Question 8 10 point Consider: | <x?,v/dr, C: r(t) = (sint, cost), te[0,1] Which one of the following "regular" integrals represents the above line integral. S". cost sint - cost sint dt O a. o П 1 sin2tdt 0 s "cost sin’t + cost sint dt...
Which of the following integrals represents the length of the parametric curve x = 1+e', y=t, -3 <t< 3, about the X-axis? A. Vet? + 4t2 dt 3 B. V2et + 4t2 dt Ve2t + 4t dt D. Vet + 4t2 dt U V2e + 4t dt 3 F. . Vet + 4t dt
Consider: S (x + 2 x + y)z ds, C: r(t)= (2+, 1-37, 57 +5), te[0,1] Which one of the following "regular" integrals represents the above line integral. -5/38 | 2+31 – Ide a. Ob och 2-33+ 101 -551-pat Od -s/38 1-10
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...