DP Mathematics HL Questionbank

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Directly related questions

• 18M.1.hl.TZ2.11b: Express $y$ in terms of $x$. Give your answer in the form $y = p{x^q}$, where p , q...
• 18M.1.hl.TZ2.11a: Show that \({\text{lo}}{{\text{g}}_{{r^2}}}x =...
• 18M.1.hl.TZ1.5: Solve ...
• 16M.2.hl.TZ2.3: Solve the simultaneous equations $$\ln \frac{y}{x} = 2$$ $$\ln {x^2} + \ln {y^3} = 7.$$
• 16M.2.hl.TZ1.7d: Comment on the likely validity of the model as $N$ increases beyond 8.
• 16M.2.hl.TZ1.7c: Calculate the error in your estimate as a percentage of the actual value.
• 16M.2.hl.TZ1.7b: Use this model to estimate the mean time for the finalists in an Olympic race for boats with 8...
• 16M.2.hl.TZ1.7a: Use these results to find estimates for the value of $a$ and the value of $b$. Give your...
• 16M.1.hl.TZ1.6: Find integer values of $m$ and $n$ for which $$m - n{\log _3}2 = 10{\log _9}6$$
• 16N.1.hl.TZ0.7: Solve the equation ${4^x} + {2^{x + 2}} = 3$.
• 17N.1.hl.TZ0.1: Solve the equation ${\log _2}(x + 3) + {\log _2}(x - 3) = 4$.
• 12M.1.hl.TZ1.8: Solve the equation $2 - {\log _3}(x + 7) = {\log _{\tfrac{1}{3}}}2x$ .
• 11M.2.hl.TZ1.9: Solve the following system of equations. $${\log _{x + 1}}y = 2$$ $${\log _{y + 1}}x = \frac{1}{4}$$
• 14M.1.hl.TZ2.2: Solve the equation ${8^{x - 1}} = {6^{3x}}$. Express your answer in terms of $\ln 2$ and...
• 15M.1.hl.TZ1.12a: (i)     Show that $\frac{{{v_{n + 1}}}}{{{v_n}}}$ is a constant. (ii)     Write down the first...
• 15M.1.hl.TZ1.12b: Let ${S_n}$ be the sum of the first $n$ terms of the sequence $\{ {v_n}\}$. (i)     Find...