38. The ATCF Formula is: a. (R-E) (1-t) t(D) b. (R E) t-t(D) c. (R-E)t +(1-T)D
The symbol "t" in the ATCF formula stands for: a. State, Local and Federal Income taxes b. Part "a" plus real estate taxes c. Part "a" plus Inventory taxes 5.
Y(z) c(t), C(s) r(t), R(S) + - et), E(S) E*(s), Ez To- D(z) G (s) = (1-e-STºys H(s) 32. If the system above has Y(z)R(z)= 1+z), and if the input is the unit step r(t)=u(t), then the signal y[n]= u[n]-e-Tou[n-1) | u[n]+u[n-1] a) c) u[n] + u[n-1) d) none above 33. If the system above has Y(z)/R(z)= 1+z), the dc gain of the system is C(z)/R(z)= b) 1/2 c)2 d) none above a) o 34. If the system above has...
2
Match the next three definitions to a formula A, B, C, D or E. 1. mv 2. mv2 3. -mgy 4. ke2 T 5. ε kinetic energy Formula 2 gravitational potential energy near the surface of Earth [Choose ] Formula 5 Formula 3 Formula 4 Formula 1 Formula 2 electrostatic potential energy for hydrogen
Problem 3 (10pt). Consider the sets V1 = {[a, b, c, d]T E R*: a+c=0}, V2 = {[a, b, c, d]T ER+ : a+c= 0,b+d=1}, V3 = {[a,b,c,d)' e R+ : ac =0}. Decide if V1, V2, V3 are subspaces of R4. Explain. Bonus (5pt). If one of V1, V2, V3 is a subspace find a basis for it and find its dimension.
Let 0 < a <b<e<d for a, b, c, d E R. Consider the set S={(u, ujo < u < 1, 0<u<1) and let D be the region in the r-y plance that is the image of S under the variable transformation (a) Sketch D in the r-y plane for the case ad - be>0. (a) Sketch D in the r-y plane for the case ad - be < 0. (c) Calculate the area of D. Show all working.
Design Of Database System Course 1. Given the relation R(A,B,C,D,E) with {A->B, B->C, C->A, E->D}. Select attribute(s) below that are prime attributes. A B C D E
What's the solution of d and e
1. Let T : Pn(R) + Pn+1(R) be defined: T(P(x)) = (x + 1)p(x + 2) bases {1, X, ..., (a) (2 marks) Show that T is a linear transformation. (b) (3 marks) Is T one-to-one? Describe ker(T). What is the rank of T? (c) (8 marks) Find a matrix representation for T with respect to the standard xn} for Pn and {1, 2, ..., xn+1} for Pn+1 if n = 4. (d)...
1. Given the schema R(A,B,C,D,E) with the functional
dependencies
F = { A → C,D D B, E B, C + D, E E → B,C } Is this schema in BCNF? If it is, prove it. If not, find a BCNF decomposition and then prove that the decomposition is in BCNF. You must prove each step carefully.
1. Determine the Fourier transform of r(t) = e-t/2u(t) and sketch (a) X(w) (b) ZX(w) (c) Re{Xw)} (d) Im{Xw)}
() At)x()B(f)u() Consider the following time-varying system y(t) C(f)x(t) where x) R", u(t)E R R 1 1) Derive the state transition matrix D(t,r) when A(f) = 0 0 sint 2) Assume that x(to) = x0 is given and u(f) is known in the interval [to, 4] Based on these assumptions, derive the complete solution by using the state transition matrix D(f, r). Also show that the solution is unique in the interval [to, 4]. 3) Let x(1) 0 and u(f)...