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16 Jun 2019

Leaving Cert Applied Maths Higher Level 1980-1992 Solutions

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Leaving Cert Applied Maths Higher Level 1980 Solution

  1. (i) 0\vec{i}+\left(14-8\sqrt{2}\right)\vec{j}, \frac{7+4\sqrt{2}}{8}} hours (ii) 1.45 hours
  2.  \frac{1}{20} - \frac{T_1}{10W}
  3.  (ii) \frac{\sqrt{5}u^2}{4g}
  4.  (ii) \frac{W \sin\left(\alpha+\lambda\right)}{\cos \lambda\right)} (iii) W \tan \left(\alpha+\lambda\right)} (iv) W\sin\left(\alpha+\lambda\right)
  5.  (b) \mu \sin \left( \alpha \right) \left( 1+e \right)
  6.  x = \frac{2f}{k}
  7.  \frac{3l \pm \sqrt{5}l}{6}
  8.  1.7 m, \frac{\pi}{2} s, 0.1477 s
  9. (a) y=\sqrt{2\sqrt{2} x - 3} (b) 2.18 m s^{-1}
  10. (a) \frac{12}{7} (b) \frac{4}{5}

Leaving Cert Applied Maths Higher Level 1981 Solution

  1. (i) 1.2 m s^{-2} and -2 m s^{-2}
  2. “Show that” question
  3. “Show that” question
  4. “Show that” question
  5.  \frac{7}{9} W, W and \frac{5}{9}W
  6.  (a) 12.1 percent shorter (b) 7 rad s^{-1}
  7.  \omega = \sqrt{\frac{20g}{19 r}}
  8. (b) 66
  9. (b)(ii) T=\frac{W}{4} and B=\frac{3}{4}W (ii) \frac{2}{3}
  10. (a) y=\frac{24}{24 \sin x - 8 \sin^3 x + 1} (b) 28.76 m

Leaving Cert Applied Maths Higher Level 1982 Solution

  1. (i)  (a) 80 m (ii) 150 s (b) 0.5094 N
  2. (i) 25\vec{i} - 15\sqrt{3}\vec{j} (ii) 1.92 km
  3.  (ii) \frac{\sqrt{3}}{2} (iii) \frac{400}{7g} m
  4.  (a) \frac{5}{4} and \frac{35}{4} m s^{-1}, 187.5 kg m s^{-1} (b) \frac{1}{3}
  5.  “Show that” question
  6. \frac{W}{\sqrt{3}} for both, \mu \geq \frac{1}{\sqrt{3}}
  7.  (ii) 11 ml^2
  8. \omega = \frac{5}{2} rad s^{-1} and 0.257 s
  9.  (a) (i) 500g Pa (ii) \frac{125\pi g}{16} N (iii) 7:1 (b) 0.9
  10.  (a) y=\left(\frac{1+x^3}{4}\right)^{\frac{1}{3}} (b) s=\ln \left(1+t\right) and s=\ln 2 m

Leaving Cert Applied Maths Higher Level 1983 Solution

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