Choose algebraic, graphical or numerical methods to solve equations and interpret solutions within a model's domain.
Tę umiejętność sprawdza 14 zadań wzorowanych na arkuszach IB z lat 2022–2026.
The machine price depreciates at a constant annual percentage rate r. After one year its price is USD 29,140. For any real number t of years after 1 January 2026, model the price by 31000(1 − r/100)t. The club buys as soon as its credited account balance can…
Find the intervals on which f is decreasing.
A circular window is divided by chord AB. Its minor segment P has area 18 cm2. The triangle OAB, labelled Q, and segment P have areas in the ratio P : Q = 2 : 3. The circle has centre O, radius r cm, and with 0 < θ < π.…
The tangent at x = 1 has inclination 35° to the positive horizontal axis. Determine all possible values of a.
The normal L1 at A = (1/2, 4) has equation 2x − 12y + 47 = 0. L1 also meets the curve at B with xB > 1.3. Find B.
A complete assembly uses a whole number of boxes with no rods left over. Find its smallest possible positive number of tiers.
(i) Find k. (ii) Hence give the coordinates of P.
(i) State u(1). (ii) Find the time when the first cart’s velocity is 4 m/s.
Find the least positive integer k such that the chamber is ready at t=k minutes.
The remaining plate has area 25π − 9 cm². Find θ.
The graphs of f and its inverse intersect at x=p and x=q, where p<q. (i) Find p,q. (ii) Hence find the area enclosed by the two curves.
Find every time when the two contents are equal.
Find the x-coordinate of B.
Find α when the area of R is half the area of the original circle.
Zapisujemy na Twoim urządzeniu to, bez czego serwis nie działa, np. zalogowanie. Plików analitycznych użyjemy tylko za Twoją zgodą. Szczegóły w polityce prywatności.