both
8. .53 points sCacET6 77.026 Find the approximations Ln, Rn, Tn, and Mn for n = 5, 10, and 20. Then compute the corresponding errors EL, ER, ET, and EM. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) 10 20 EL ET 10 20 What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, EL and ER...
linear algebra
help
4.) (18 points) let A = [ag]nzn- Define WA (B e Mnn BA = AB). Determine whether WA is a subspace of Mn,n with the standard operations of matrix addition and scalar multiplication.
Prove that for all n ≥ 1, nn ≥ n!.
state and prove divergence or convergence for each of the following
series.
f. 5 nn |(n+3) n= ln 00 g. (2n-1) (n!) n=1 h. į vn + cos n n n=1 i. 2"n? n!
(4 pts) The human MN blood type is determined by two codominant alleles, LM and LN The frequency of LM in Eskimos on a small Arctic island is 0.80. 6. a. If random mating takes place in this population, what are the expected frequencies of the M, MN, and N blood types on the island? b. If the inbreeding coefficient for this population is 0.05, what are the expected frequencies of the M, MN, and N blood types on the...
A total of 6129 North American Caucasians were blood typed for the MN locus, which is determined by two codominant alleles, LM and LN. Blood type Number M 1787 MN 3039 N 1303 Calculate the observed frequency of each: 1) Observed Frequency of MM blood type = 2) Observed Frequency of MN blood type = 3) Observed Frequency of NN blood type = Based on these numbers, what is p and q? 4) p = 5)...
12. Prove that if n >m then the number of m-cycles in Sis given by nn-1)(n-2)... (n-m+1)
Express the sum as a p-series.
∞n=1(
2^-ln(n)) (Hint: 2−ln(n) = 1/n^ln2)
Identify p
p=?
Prove that for all sets M, N, and P, if M UN MU P and MON Mn P, then N P
Let AA be an n×nn×n matrix. Prove that if x⃗ x→ is an eigenvector of AA corresponding to the eigenvalue λλ, then x⃗ x→ is also an eigenvector of A+cIA+cI, where cc is a scalar. Moreover, find the corresponding eigenvalue of A+cIA+cI.