y(t) =-=-= is the unit step output for the system ....... 0 ſo 2 31 [0] X = 0 6 5 x + u(t) 1 4 2 y = [1 2 0x :-2 0 0 0 +XI u(1) 0 -6 -1 y = [1 0 0]x; x(0) = 0 26 --- -0 O -3 0 0 -6 1 x+ (1) 0 0-5 y = [ 011]x; x(0) = 0 ed o LO 0 1 * = -12 -8 1 x...
2. (a) For 0<x+1, we have (x - 1)/x <Ins<:- 1. (b) For je N. > 1, we have in(+1)<1/; <In(;). (c) For n,ke N, n > 1, we have In(k+)< } <In(a + and lim . = Ink (d) Use (c) to prove that ) - 1) * = In 2 (Hint: Show that
| Prove that for n e N, n > 0, we have 1 x 1!+ 2 x 2!+... tnx n! = (n + 1)! - 1.
Need ALL PARTS (a-d) answered COMPLETELY and IMMEDIATELY!!! VERY
URGENT!! SHOW WORK!!!
5. Given matrices ſo 0 t 01 0 0 201 m 0 0 0 3 0 0 0 A= 0 0 0 h and B=1 0 0 0 31 Lo a 002 o 13 0 0 1 where a, h, m, t are any real numbers, (a) (2 points) find det(A) (b) (2 points) find det(B) (c) (2 points) find det(AB) (d) (2 points) find det (2ATB-1). (Show...
We have a function F : {0, . . . , n − 1} → {0, . . . , m − 1}. We know that, for 0 ≤ x, y ≤ n − 1, F((x + y) mod n) = (F(x) + F(y)) mod m. The only way we have for evaluating F is to use a lookup table that stores the values of F. Unfortunately, an Evil Adversary has changed the value of 1/5 of the table entries...
2
2. Suppose we are given data on n observations (i, Y),, and we have a linear model, so that E(X)-A, + ßiri-Let呙-SXY /SXX and β') = F-β,2 be the least-square estimates given in lecture (a) Show that E(SXY)-ASXX and E (T)-A] + β,7. (b) Use (a) to show that E(角)-βι and E(A) = 3). In other words, these are unbiased estimators. (c) The fitted values Yt = Atari are used as estimates of E(A), and the residuals e.-Yi for...
3 5 6 0 A S F G HJ n tample o desc phve sterhsties ard One ekimple of nfenhal Stehisties oue da、 Nole the dependent and indepindent vaciables nte ded fol 25ch X(ample. Page 1
3 5 6 0 A S F G HJ n tample o desc phve sterhsties ard One ekimple of nfenhal Stehisties oue da、 Nole the dependent and indepindent vaciables nte ded fol 25ch X(ample. Page 1
EN LINEA 0 My courses RUM-2020S1.CONT4007-026 PRIMER EXAMEN - CAPITULOS 1, 2 y 3 JUEVES 17 DES 1ER EXAMEN - CAPITULOS 1, 2 y 3 JUEVES 17 DE SEPTIEMBRE DE 2020 6:00PM 17 ut of 2 Bruno took a business trip from Wisconsin to London. He was away 16 days of which he spent 9 days on business (including two travel days) and 7 days vacationing. His expenses are as follows: Airfare $1,100 Lodging (16 days x $140) $2,240 Meals...
Prove that for each natural number n 26 we have 2n 3 3 2" Use the above to prove that for each natural number n 2 6 we have (n +1)2 Hint: n24n +4-(n2 +2n +1) + (2n+3).] 2"
Prove that for each natural number n 26 we have 2n 3 3 2" Use the above to prove that for each natural number n 2 6 we have (n +1)2 Hint: n24n +4-(n2 +2n +1) + (2n+3).] 2"
3. (2 Points) Let Q be the quadrilateral in the ry-plane with vertices (1, 0), (4,0), (0, 1), (0,4). Consider 1 dA I+y Deda (a) Evaluate the integral using the normal ry-coordinates. (b) Consider the change of coordinates r = u-uv and y= uv. What is the image of Q under this change of coordinates?bi (c) Calculate the integral using the change of coordinates from the previous part. Change of Variables When working integrals, it is wise to choose a...