8. Find Un integer >ul2 ).
tinued) [Page 21 (11) Which number that follows is an Integer? ( --58.9 (C) 780.8 (D) -42
for $ | Show that the solutions un(x, t) defined in n (Un)t = k(un)11, Un(1,0) = n(2), fn(x) = { 0 converge to the fundamental solution S(,t), as n +0. [10pt] VIA -15-16 2 Solve the initial-value problem Ut – kurr + y = 0, (2,0) = f(x). Hint: Set v(x, t) = ertu(2,t). Find the equation satisfied by v and solve it. [10pt] State and prove the mean value property for harmonic functions in R3. [20pt]
Determine the support reactions at A and E, and find the forces in members GH, CH, CD, HD and FB Questions 22- 29 all pertain to question 21.(45 minutes) 20 k ,20 k ,20 k 303030 30' Determine the support reactions at A and E, and find the forces in members GH, CH, CD, HD and FB Questions 22- 29 all pertain to question 21.(45 minutes) 20 k ,20 k ,20 k 303030 30'
let m=(82! /21). find the smallest positive integer x such that m≡x(mod 83)
Given v= 2i and w=21 + 3), find the angle between v and w. The angle between v and w is approximately º (Type your answer in degrees. Do not round until the final answer. Then round to the nearest tenth as needed.)
10. (5 points) Consider data with integer keys 28, 21, 11, 47, 36, 19, 32 in that order inserted into a hash table of size 7 and hashing function is h(key) = k % 7. Show a chaining hash table after doing the insertions:
Consider the following system with the given input and digital filter: Xa(t) In Yn -Hd (w)t D/A Ya(t) T (ideal) Xa(A) HAW) Ո -100 -50% 50x 100 T -TE EIN -TE (a) Find the maximum value of T allowed without aliasing errors in x[n]. (b) Find the maximum value of T allowed without aliasing errors in y[n]. (c) Determine and sketch HQ(12) = Y(12)/X (12) for the value of T in a) and b), respectively.
7. Let T:V : - W be a linear transformation, and let vi, U2,..., Un be vectors in V. Suppose that T(01), T (v2),..., 1 (un) are linearly independent. Show that 01, V2, ..., Un are linearly independent.
13:21 ج 11. Х Exam#1.pdf 11 Ethel 21 Find the areas of the shaded regions 3) Evaluate the integral 4) Evaluate the integral - y2 + x + 3y** (232 - 33 + 4) dy 5) Find the total areas of the shaded regions