Zadanie 12e
The tangent y = −5x touches C at B. Find yB.
Wczytuję zadania…
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
The tangent y = −5x touches C at B. Find yB.
The tangent y = −5x touches C at B = (xB, yB). The region between the vertical line x = −1 and the left-hand arc of C, from height yB to height yA, is rotated once about x = −1. Find the resulting volume.
Prove that points on this locus satisfy x2 + y2 + 2x − 4y − 20 = 0.
For real p, suppose , where the quotient is defined and nonzero. Show that x2 + y2 + (p − 2)x − (p + 2)y − 2p = 0.
Two distinct roots z1, z2 of a monic quartic z4 + az3 + bz2 + cz + d = 0 with real coefficients satisfy the circle condition and . Use (a) and (b) to find these roots.
The monic quartic is z4 + az3 + bz2 + cz + d = 0, with real coefficients. Two distinct roots z1, z2 satisfy the circle condition and . Find the coefficient a of this…
Find .
By solving it, show that , where C is a constant.
Sketch the particular solution through (−3, 2) for −4 ≤ x ≤ 4, labelling the coordinates of its local maximum and minimum.
Consider two distinct solution curves passing through (−3, p) and (−3, q), where p ≠ q. Use their tangents at x = −3 to prove that every tangent at this x-coordinate, for this family of solutions, passes through a common point. State that point.