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Compute all real values of x for which log, x3-2 log16 x + log64 X6 = 3 Compute all real values of x for which...
4. Let B = {x6 + 3, x5 + x3 + 1, x4 + x3, x3 + x2} C Pg, where Pg is the polynomials of degree < 8. (a) (2 marks) Explain why B is a linearly independent subset of Pg. (b) (2 marks) Extend B to a basis of Pg by adding only polynomials from the standard basis of Pg.
Which expression correctly shows x6 + 2x3 + 1 factored completely over the integers? (x3 + 1)2 (x2 + 1)(x4 – x2 + 1) O(x + 1)2(x2 - x + 1)2 (x + 1)(x2 - x + 1)
QUESTION 3 x3 -4x2 +3x For what values of x is y undefined? Select all that apply -2 2 -1 üi -3
3. Compute all possible values of i', log (-1 + V3i), sin(+ 2i). (Write your answers in the usual a + bi form.)
QUESTION 1 (x + x2)log x + x2.5 is ou O x2 log x O X3 O x2 O x log x QUESTION 2 If f(x) is O(g(x)) and g(x) is O(h(x)) then f(x) is O(h(x)). True False
Determine the value of sup1≤X≤2 log (E [X]) - E [log (X)], that is, of all random variables X taking values between 1 and 2, find the largest value of log (E [X]) - E [log (X)]. Also interpret what this question is asking.
23. Compute if x1=2, x2=5 and x3=0. 24. Compute ∑ i = 1 3 x i f i if x1=1, x2=3, x3=4 and f1=f2=2, f3=5. 25. Compute if x1=1, x2=3, x3=4 and f1=f2=2, f3=5.
Determine the value of sup1≤X≤2 log (E [X]) - E [log (X)], that is, of all random variables X taking values between 1 and 2, find the largest value of log (E [X]) - E [log (X)]. Also interpret what this question is asking.
Question 19 Find the pivot in the tableau. X1 X2 X3 X4 X5 X6 Z 2 3 6 1 0 0 0 10 2 1 2 0 0 0 20 4 04 0 0 1 040 -2 4 -8 0 1 0 یہ نہ مانم plonu 1 oloor 1 in row 2, column 5 6 in row 1, column 3 O 3 in row 1, column 2 4 in row 3, column 1 Question 16 5 p Write the expression...
c) log,6-log, (2x + 3)-log, (x + 1) d) 2log, x - 3 + log, (x-2) 2.