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  • Add Math 0606
  • FPM 4PM1

Add Math 0606 topics

  • 1. Functions55
  • 2. Simultaneous equations and quadratics34
  • 2. Quadratic functions35
  • 3. Factors and polynomials61
  • 4. Equations, inequalities and graphs127
  • 5. Logarithmic and exponential functions86
  • 6. Straight-line graphs107
  • 7. Coordinate geometry of the circle6
  • 8. Circular measure68
  • 9. Trigonometry180
  • 10. Permutations and combinations55
  • 11. Series99
  • 12. Calculus — Differentiation 185
  • 13. Vectors51
  • 14. Calculus — Differentiation 261
  • 15. Calculus — Integration92
  • 16. Kinematics42
  • Indices and surds39

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Additional Mathematics 0606 / Calculus — Differentiation 1 / 3.54

3.54: Non-zero k for a tangent condition

0606/22/O/N/23 — Question 2 · 5 marks

· ·
Find the non-zero value of kkk for which the line y=−2x−6−1ky = -2x - 6 - \dfrac{1}{k}y=−2x−6−k1​ is a tangent to the curve y=kx(x+2)y = kx(x + 2)y=kx(x+2).
[5]
← 3.53: Normal determining constants p and q3.55: Normal to a cubic curve →
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