DP Mathematics HL Questionbank

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Directly related questions

• 18M.3ca.hl.TZ0.3d: Find an upper bound for $\sum\limits_{n = 4}^\infty  {\frac{1}{{{n^3}}}}$.
• 18M.3ca.hl.TZ0.3c: Hence write down a lower bound for $\sum\limits_{n = 4}^\infty  {\frac{1}{{{n^3}}}}$.
• 18M.3ca.hl.TZ0.3b: Illustrate graphically the...
• 18M.3ca.hl.TZ0.3a: Find the value of $\int\limits_4^\infty  {\frac{1}{{{x^3}}}{\text{d}}x}$.
• 16M.3ca.hl.TZ0.2c: Hence obtain an expression for the derivative of...
• 16M.3ca.hl.TZ0.2b: By differentiating $f({x^2})$, obtain an expression for the derivative of...
• 16M.3ca.hl.TZ0.2a: Write down $f'(x)$.
• 12M.3ca.hl.TZ0.5a: Find the set of values of k for which the improper integral...
• 12N.3ca.hl.TZ0.3a: Prove that $\mathop {\lim }\limits_{H \to \infty } \int_a^H {\frac{1}{{{x^2}}}{\text{d}}x}$...
• 12N.3ca.hl.TZ0.3e: You are given that $L = \frac{{{\pi ^2}}}{6}$. By taking k = 4 , use the upper bound and lower...
• 12N.3ca.hl.TZ0.3d: Hence show that...
• 08M.3ca.hl.TZ1.2: (a)     Using l’Hopital’s Rule, show that...
• 08M.3ca.hl.TZ2.2: Find the exact value of $\int_0^\infty  {\frac{{{\text{d}}x}}{{(x + 2)(2x + 1)}}}$.
• 14M.3ca.hl.TZ0.1d: Find the value of the improper integral...