I hope you are well. Stay safe stay at home.dear friend.. take care i hope you like it..
3. Show that if S, and S2 are Jordan measurable, then so are Si U S2...
Show that if there is two sets S1 and S2, S1 and S2 are Jordan regions so is S1 \ (S1 ∩ S2).
1. Let Sị and S2 be bounded sets in R”, and let f : Si U S2 + R be a bounded function. Show that if f is integrable over S, and S2, then f is integrable over Si S2, and lang 1-1 - long
(h) Suppose that Si and S2 are subspaces of R6 and that Si is a subset of S2. If the (i) Suppose that ửi, 귤2.귤3, 귤4 are linearly dependent vectors in R. Is it true or false (j) Find the change of basis matrix from the basis B dimension of Si is 4, then what are the possible dimensions of S2 that the matrix A-lui u2 u, is invertible? 2to the standard basis. (kanlarvert the cordinate vector(RI"-ffroun the basis 65...
7. (10) a) Find F(s) 1) if f) -tet [u(t)-u(t-4)] 2) iffit) d/dt [t sin (at )] u(t) (15) b) Find f(t) 1) if F(s)-10 s/[(s+1)(s+5)] 2) İfF(s) 10 (s+3)/[s2 (s+2)] 3) if F(s) - 10/(s2+s+ 1) 7. (10) a) Find F(s) 1) if f) -tet [u(t)-u(t-4)] 2) iffit) d/dt [t sin (at )] u(t) (15) b) Find f(t) 1) if F(s)-10 s/[(s+1)(s+5)] 2) İfF(s) 10 (s+3)/[s2 (s+2)] 3) if F(s) - 10/(s2+s+ 1)
QUESTION 11 The SI unit of the angular acceleration is rad/s2 rad/s m/s m/s2
1 point Let S be the boundary of the solid enclosed by the sufaces y4z2 622 and y 1 with positive orientation. Let Si be the portion of the paraboloid and let S2 be the portion of the plane so that S Si U S2. Si and S2 are oriented so that S has positive orientation. Let F =< 0,-dy, z > Evaluate the flux of F across S F-dS = Evaluate the flux of F across S2. F.ds The...
1) What are the oxidation numbers of (1 pt each): Si in SiO2 S in HS Sin S2 S in H2S S in SO42- As in AsO43- Se in Se042 Fe in FeOOH Mn in MnO2 Mn in MnOOH C in CH20 C in CO2 C in CH4 U in U022+ U in UO2 Ca in Ca2+ Al in Al(OH)3 Al in Al- H in H H in H2O
9. For the state space model s2 where (sI - A)-1- 0TRIs(s+1) , B = | 0 | , and C = 1-1 0 ] Find the transfer function from U to Y. (5 pnts.)
5. Let ф: S1 S2 be a diffeomorphism. a. Show that S is orientable if and only if S2 is orientable (thus, orientability is preserved by diffeomorphisms). b. Let S, and S2 be orientable and oriented. Prove that the diffeomorphism ф induces an orientation in S. Use the antipodal map of the sphere (Exercise 1, Sec. 2-3) to show that this orientation may be distinct (cf. Exercise 4) from the initial one (thus, orientation itself may not be preserved by...
2.21 The series and parallel configurations of systems Si and S2 are shown in Fig. P2.21. The two systems are specified by the following input-output relationships: Si : y[k]- x[k] - 2x[k - 1] +x[k - 2]; (i) Show that Si and S2 are LTI systems (ii) Calculate the input-output relationship for the series configuration (iii) Calculate the input-output relationship for the parallel configuration (iv) Show that the series and parallel configurations of systems Si and of systems Si and...