5) do = E•dA, where E = (28 V/m²) xy î - (8.3 V/m) sin(2z/n) k, and the area element dA = 0.45 dxdz j - 0.89 dxdy k. Find the expression for do by taking the dot product.
5) dợ = E•dA, where E = (28 V/m?) xy î - (8.3 V/m) sin(2z/n) k, and the area element dA = 0.45 dxdz j - 0.89 dxdy k. Find the expression for dỏ by taking the dot product.
The velocity ofa particle is defined by v (-2i+(3-20A, m/s where t is in seconds. If r 0 when t 0, determine the displacement of the particle during the time interval t As (-8/-4A, m As (-6i+-6A. m As (-10/-2A.m As-(-4, m 1 s and t 4 s. A motor gives a disk A an angular acceleration of aA (2t+3) rads, where t is in seconds. If the inidal angular velocity of the disk is Dg 5 rads, determine the...
1 5. Let A = dz, (2 – 1)2(2 + 2i)3 where I is the circle [2] = 3 traversed once counterclockwise. The following is an outline of the proof that A = 0, justify each statement. Jo Tz – 1)*(x + 2133 (a) For R > 3 show that A = A(R) where A(R) Som 1 (z – 1)2(x + 2i)3 dz, and I'R is the circle (2|| = R traversed once counterclockwise. 21R (b) For R > 3...
© Examples: 1. Find the direction angles of for the vector v = 2i + 3j + 4k, and show that cos?a + cos?ß + cos2y = 1. 2. Find the direction angles of the vector v= 2i + 3j – k. O P1. Find the direction angle of line determined by the origin and the point P(2,-3,6) OP2. Find the direction cosines of the line directed from P1(1, -3,4) to P2(4,3,-2).
answer these questions plz!!!! ( 1 and 2)
1. Use any means to find Sc f(z)dz where C is the line segment from 0 to 1+2i and (a) f(2)=Imz; (b) f(2)=3z2 – 2z; (c) f(z)=(z –2i) ? 2. Redo Q1 where C is the polygonal curve from 0 to 1 to 1+2i.
the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds. If the particle is at the origin when t=0, determine the magnitude of the particle's acceleration when t=2s. What is the x,y,z coordinate position of the particle at this instant.
if
v=-4i+2j and w=2i-3j then find
a= v+w
b=b-w
c=3v
d=2v+2w
7. If v =-4i+ 2j and w = 2i - 3j. Then find (Section 7.6) a. vw b. v -w C. 3v d. 2v2w
vector u= 2i-j vector v= -2i+3J-3K find the component vector u perpendicular to v
6. Given u= 2 + 31, p= 1 - 2i and w= -3 – 6i where i = V-1 is the imaginary unit. Evaluate the following: A) (u + v B) u + 20 C) 4–3v + 2w D) U E ) uv F) (ulvt G) v/w