12.21 a) Given that F(s)f(t)), show that d F(s) b) Show that d"F(s) ds" c) Use the result of (b) to find Ptt5), L(t sin Bt), and Pte cosh t
(a) Show that dB/ds is perpendicular to B 0 BI= 1-B-B- (b) Show that dB/ds is parpendicular to T B Tx N T' N' [(T'x N)(T * N Irtt) rit) [(TTT (Tx N rt) (c) Doduce from parts (a) and (b) that dB/ds -risN for some numbar ria called the torsion of the curve, (The torsion meacures the dearoe of twisting of a curve.) TIN. P LT and BI N. So B T and N torm -Select set of vectors...
Let Ds be the group of symmetries of the square. (a) Show that Ds can be generated by the rotation through 90° and any one of the four reflections. (b) Show that Dg can be generated by two reflections. (c) Is it true that any choice of a pair of (distinct) reflections is a generating set of Dg?
. Write the elements of Ds in cycle notation. Find all the distinet left cosets of Ds in S. Then find all the right cosets. Is Ds a normal subgroup?
. Write the elements of Ds in cycle notation. Find all the distinet left cosets of Ds in S. Then find all the right cosets. Is Ds a normal subgroup?
If x(s)*y(s)=s^3 for all s, and when s=3, dx/ds=(7,1,1) and y=(5,2,4). What is x*dy/ds when s=3?
Please show work
Page 1 10. Use Stokes Theorem to evaluate S. curl F. ds F = (x, y, z) = z² i + 2xj + y2k, S:z = 1 - x2 - y2, z 20
present, partial fraction descompotitions.
ds s-(s – 1)
koo the duain DS Which +12V 2.7kn S-53 Ip (mA)
koo the duain DS Which +12V 2.7kn S-53 Ip (mA)
If s follows the geometric Brownian motion process ds - S dt+oS dz what is the process followed by (a) y = 2S, (b) y S 5.
If s follows the geometric Brownian motion process ds - S dt+oS dz what is the process followed by (a) y = 2S, (b) y S 5.
Show C_v=T(dS/dT)_v (Lowercase v's are the subscripts)