◈ Oracle PrepSign Up Free
A-LevelMathematicsDifferentiation9709/12 · Oct/Nov 2010 · Q34 Marks

The length, x metres, of a Green Anaconda snake which is t years old is given approximately by the formula x = 0.7 √(2t – 1), where 1 ≤ t ≤ 10. Using this formula, find

  1. (i)dx/dt,[2]
  2. (ii)the rate of growth of a Green Anaconda snake which is 5 years old.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2010). The mark or mark type is shown in brackets.

  1. [M1] (k(2t-1)^(-1/2) k ≠ 1
  2. [A1] 0.7(2t-1)^(-1/2) oe
  3. [M1] Sub t = 5 into their deriv
  4. [A1] 0.23(3) Ignore units

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Differentiation, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2010 Paper 1 Variant 2, question 3.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Mathematics questions

DifferentiationFeb/Mar 20184m

A curve has equation y = 4x sin ½ x. Find the equation of the tangent to the curve at the point for which x = π.

DifferentiationFeb/Mar 20187m

The parametric equations of a curve are x = 2t + sin 2t, y = 1 – 2 cos 2t, for −½π < t < ½π.

DifferentiationFeb/Mar 201811m

A particle P moves in a straight line. The velocity v m s¯¹ at time t s is given by v = 4 + 0.2t for 0 ≤ t ≤ 10, v = …

Probability and statisticsFeb/Mar 20179m

Pack A consists of ten cards numbered 0, 0, 1, 1, 1, 1, 1, 3, 3, 3. Pack B consists of six cards numbered 0, 0, 2, 2,…

Probability and statisticsFeb/Mar 201713m

The lengths, in centimetres, of middle fingers of women in Raneland have a normal distribution with mean u and standa…

AlgebraFeb/Mar 20184m

Solve the inequality |5x + 2| > |4x + 3|.

← Browse all past-paper questions

© 2026 Oracle Prep