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Midterm · Paper 9 of 10

Mock Midterm, Paper 9

Everything up to the midterm, set out like a written test: five short answers, then three longer problems in parts, on limits and continuity, on differentiation, and on related rates.

Before you start

  • This is a closed-book test. Calculators, notes and other aids may not be used.
  • Questions 1 to 5 are short: only the final answer is marked.
  • Questions 6 to 14 are three longer problems, each in three parts. On a written test you would show your working and earn marks for it; here each part is marked on its answer, so the problem is set out in the steps a marker would look for.
  • Answers must be simplified and calculator-ready: write pi/3 or sqrt(2), not a decimal approximation.
  • Some answers are formulas, such as a derivative or the equation of a tangent line. Type them in the variables the question uses: 3x^2 + 2cos(2x), or y = 4x - 3.
  • Give signed rates where a direction is implied: a falling level is negative.
  • Every question is worth the marks shown beside it. There is no penalty for a wrong answer.
  • You may move between questions freely and flag any question to come back to.
  • Your answers are kept in this browser as you go, so a refresh will not lose your work. Only a submitted paper counts towards your progress.
  • At 0:00 the paper is submitted as it stands.

Marks

Q1
2
Q2
2
Q3
2
Q4
2
Q5
2
Q6
2
Q7
2
Q8
2
Q9
2
Q10
2
Q11
2
Q12
2
Q13
2
Q14
2
Total
28