DP Mathematics HL Questionbank

• Syllabus

3.4

Sub sections and their related questions

Composite functions of the form $f(x) = a\sin (b(x + c)) + d$ .

• 08M.2.hl.TZ2.2: The depth, h(t) metres, of water at the entrance to a harbour at t hours after midnight on a...
• 09M.1.hl.TZ1.2: The diagram below shows a curve with equation $y = 1 + k\sin x$ , defined for...
• 10M.2.hl.TZ1.1: The graph below shows $y = a\cos (bx) + c$.     Find the value of a, the value of b and...
• 15N.2.hl.TZ0.4a: Find the value of (i)     $A$; (ii)     $B$; (iii)     $C$.
• 16M.1.hl.TZ1.3a: Write down the value of $a$ and the value of $d$.
• 16M.1.hl.TZ1.3b: Find the value of $b$.
• 16M.1.hl.TZ1.3c: Find the smallest possible value of $c$, given $c > 0$.

Applications.

• 08M.2.hl.TZ2.2: The depth, h(t) metres, of water at the entrance to a harbour at t hours after midnight on a...