DP Mathematics HL Questionbank

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Directly related questions

• 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 $2 - {\log _3}(x + 7) = {\log _{\tfrac{1}{3}}}2x$ .
• 12M.2.hl.TZ1.6: Let $f(x) = \ln x$ . The graph of f is transformed into the graph of the function g by a...
• 13M.1.hl.TZ1.8: The first terms of an arithmetic sequence are...
• 10M.1.hl.TZ1.4: Solve the equation ${4^{x - 1}} = {2^x} + 8$.
• 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 $$m - n{\log _3}2 = 10{\log _9}6$$
• 14M.1.hl.TZ1.3: Consider...
• 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.TZ1.12c: Let $\{ {w_n}\} ,{\text{ }}n \in {\mathbb{Z}^ + }$, be a geometric sequence with first term...