QUESTION 1 Find r' (3) if r(t) = t3i+tj + tk A. 3i + 2+ 1k B. 18 i +6j+1 k C. 9 ii+ 3j+0k D. 27 i +6j+1 k QUESTION 2 Find r' (11/2) if r(t) = 2sin(t) i + 3cos(t)j OA. -2 i + Oj 01 – 3j c.2 i + 3j D. 01 + 1 j QUESTION 3 Evaluate S 3421- 4 të jdt A. 31 - 4j i cu B.31 +4j cli - 1j Da bit...
(1) 8ketch the graph of r(t) and show the direction of increasing t 2:r, c) r(t) -3costí + 3 sin tj + tk; d) a) r(t).-ti+3, b) r(t)-< 2cos t, 5 sin t >, О r(t)- ti+ t2j + 2k t Describe the graph of r(t) 3 cos ti+5sin tj+4 cos tk (1) 8ketch the graph of r(t) and show the direction of increasing t 2:r, c) r(t) -3costí + 3 sin tj + tk; d) a) r(t).-ti+3, b) r(t)-,...
Match each given vector equation with the corresponding curve. y4 0 b a (0, 1,0) (1,0,0 , 1,0 d C 2 A (0,0. 2 y- r(t)= (, ? r(t) (sin (t),t) r (t) (t, cos (2t), sin (2t)) ? v r (t) (1 +t,3t,-t) r (t) (t)i-cos (t)j+sin (t) k =COS r(t)=i+tj+k r(t) i+tj+2k r(t)= (1,cos (t).2sin (t) Match each given vector equation with the corresponding curve. y4 0 b a (0, 1,0) (1,0,0 , 1,0 d C 2 A...
c) public class Test { public static void main(String[] args) { T t1 = new T(); T t2 = new T(); System.out.println("t1's i = " + t1.i + " and j = " + t1.j); System.out.println("t2's i = " + t2.i + " and j = " + t2.j); } } class T { static int i = 0; int j = 0; T() { i++; j = 1; } } Why is t1's i = 2 ? It should be...
Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts] Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y +22)j + xk
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t<2n. (a) [5 pts] Show that this curve C lies on the surface S defined by z = 2.cy. F. dr (b) (20 pts] By using Stokes' Theorem, evaluate the line integral| " where F(t,y,z) = (y2 + cos z)i + (sin y+z)j + tk
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t<2n. (a) [5 pts] Show that this curve C lies on the surface S defined by z = 2.cy. (b) [20 pts] By using Stokes’ Theorem, evaluate the line integral| vi F. dr where F(x, y, z) = (y2 + cos x)i + (sin y + z2)j + xk
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t< 27. (a) [5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral F. dr с where F(x, y, z) = (y2 + cos x)i + (sin y + z2)j + xk
Table T1(A, B, C, D, E) functional dependencies: A -> B AC -> DE D -> C List candidate key(s), and how you found the key(s). Which functional dependency causes BCNF violation? Decompose T1 into BCNF tables. Please show all work here.
Referring to the figure, what price will the monopolist charge?A. LB. CC. AD. JE. KReferring to the figure, what area measures the monopolist’s profit?A. (L-A)*TB. (K-C)*WC. (K-B)*WD. 0.5[(K-C)*(Z-T)]