Zapisujemy na Twoim urządzeniu to, bez czego serwis nie działa, np. zalogowanie. Plików analitycznych użyjemy tylko za Twoją zgodą. Szczegóły w polityce prywatności.
Wybierz umiejętność, rok lub poziom trudności.
Pokazujemy tylko poziomy, dla których mamy zadania.
Znaleziono 1343 zadania
Before the update, B and C have error probabilities 0.04 and 0.12. Of all images, 50% go to A, 30% to B and 20% to C. After an update, C’s error probability is x%, while the other error rates and routing shares remain unchanged. The overall…
For n > 1, factor the integrand as and show that .
Hence show, for n > 1, that .
Hence find I4 in the form , where p, q, r are rational constants.
The region , 0 ≤ y ≤ π/2, is revolved through one full turn about the y-axis. Find the exact volume.
For positive integers n, define . (i) Find its Maclaurin expansion through the term in x2. (ii) Hence or otherwise find in terms of n.
Show that Fn is even for every allowed n.
(i) Show that . (ii) Write F3(x) in ascending powers of x.
(i) Find the largest K > 0 such that F exists throughout (−K, K). Give an exact answer. (ii) Express F(x) as 1/(a + bx2), determining a, b.
Define g(x) = F(x) for 0 ≤ x < K. (i) Justify that g−1 exists. (ii) Find g−1(x) and its domain.