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971

The vectors 6i + 8j and 8i - 6j are parallel to →OP and →OQ respectively. If the magnitude of →OP and →OQ are 80 units and 120 units respectively, express: →OP and →OQ in terms of i and j;

ii. |→PQ|, in the form c√k, where c and k are constants.

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972

Calculate, correct to one decimal place, the angle between 5 i + 12 j and -2 i + 3 j

  • A. 56.3º
  • B. 76.3º
  • C. 66.4º
  • D. 54.8º
View Answer & Discuss WAEC 2023
973

Find the equation of the normal to the curve y = \(3x^2 + 2\) at point (1, 5).

  • A. 6y - x - 29 = 0
  • B. 6y + x - 31 = 0
  • C. y - 6x - 1 = 0
  • D. y - 6x + 1 = 0
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974

The distance S metres moved by a body in t seconds is given by \(S = 5t^3 - \frac{19}{2} t^2 + 6t - 4\). Calculate the acceleration of the body after 2 seconds

  • A. 19 \(ms ^{-2}\)
  • B. 21 \(ms ^{-2}\)
  • C. 41 \(ms ^{-2}\)
  • D. 31 \(ms ^{-2}\)
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975

Evaluate \(\int^1_0 x(x^2-2)^2 dx\)

  • A. \(\frac{6}{7}\)
  • B. \(1\frac{1}{6}\)
  • C. \(\frac{1}{7}\)
  • D. \(3\frac{1}{6}\)
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