Patch Notes

We're only human! And as you might expect, this was a mammoth task for just two people to undertake, so there will be mistakes. It is our intention to correct the worked solutions as mistakes are spotted, and for future print runs to also have these corrections.

If you think you have found a mistake, please let us know via the link above. When they are spotted and corrected, we will identify them here in the "Patch Notes". You can identify the version number of the textbook you have purchased on page i.

Version 1.04

• Page 4: Section 1.02, 12) has been changed from "non-zero integers" to "non-zero rational numbers"

• Page 8: Section 1.04, 7) has been changed from "integers" to "constants"

• Page 20: Section 1.09 title changed to "1.09 Quadratics: Problem Solving"

• Page 24: Section 1.12. 2) a) and 2) b) have been swapped to align with the answers and worked solutions.

• Page 75: Italicised f in 59) changed to regular font. Answers in back on page 442 and worked solutions have been updated.

• Page 90: 2) The wording of the question has been changed from "Find the interval on which the function each of the following functions..." to "Find the interval on which each of the following functions are decreasing..."

• Page 123: Space between 39) c) and 39) d) removed

• Page 129: Section 1.45, 1) a) "equals sides" has been replaced with "equal sides"

• Page 156: 40) the word "twelve" has been changed to "ten"

• Page 176: 2) a) the word "costal" has been replaced with "coastal"

• Page 195: 32) Height has been changed from 10/k to k/10

• Page 199: Q6 & Q8, typo: ms^-1  changed to ms^-2

• Page 209: Section 1.71, 2) d) question changed to match answer, question now v = t - 1/t^2

• Page 209: Section 1.71, 5) typo "displacement is of" replaced with "displacement of"

• Page 244: Fixed a typo in 12) that said 0 < k <= 32/9, and have changed this to 0 < k < 32/9. Worked solutions have been updated.

• Page 279: Q17 changed from t minutes to t seconds

• Page 288: Fixed a typo in 14) where the pi should have been pi/4. The worked solutions have also been updated.

• Page 297: Section 2.26, 10) has been changed from dy/dx = -8/(x*sqrt(16-x^4)) to dy/dx = -8/(x*sqrt(x^4-16)) 

• Page 300: Section 2.27, title changed to "2.27 Numerical Methods: Change of Sign Method"

• Page 334: Section 2.39, title changed to "2.39 Integration: Double Angles"

• Page 346: Section 2.43, 12) a) The integral has been corrected from y dx to x dy

• Page 349: Section 2.44, 18) The hyphen in "prerequisite" has been removed

• Page 352: Section 2.45, 26) b) Question changed to "find the possible value(s) of p" rather than "find the possible values of p"

• Page 363: Section 2.50, 23) Italicised N turned to regular font

• Page 392: Section 2.57, 10) b) the wording has been changed to clarify the distance from the origin is required rather than the distance from the original position.

• Page 408: Section title changed from 1.1 Indices to 1.01 Indices

• Page 410: Section 1.03, 10)c) should be 56.3 degrees, and 10)d) was missing and is 15.3 degrees. Knock-on effect, pages 410-412 re-structured to allow for this.

• Page 410: Section 1.03, 14) "Show that" replaced with 50 units^2.

• Page 411: Section 1.03, answer has been changed from "kite" to "rhombus". The worked solutions have also been updated.

• Page 419: Section 1.12, r^2 has been changed from 655/4 to 65/4 on final line

• Page 429: Section 1.22, 16) c) has been changed to log_9(2500). The worked solutions have also been updated.

• Page 429: Section 1.22, 19) c) has been changed from log_2(63) to log_2(243). The worked solutions have also been updated.

• Page 472: Section 1.57, 12) has been changed from "unemployed" to "employed".  The worked solutions have also been updated.

• Page 479: Section 1.65, 20) b) has been changed from v = -9.81t to Speed = 9.81t. The worked solutions have also been updated.

• Page 484: Section 1.71, 5) a) and b) answers have been updated using v=1, t=0 rather than v=0, t=1. The worked solutions have also been updated.

• Page 487: Section 2.02, 17) has been changed from B: x = p - 3π to B: x = p - 2π. The worked solutions have also been updated.

• Page 495: Section 2.08, 37) a) Changed from "converges" to "diverges"

• Page 532: Section 2.34, 24) b) Changed the power from 4 to 5

• Page 542: Section 2.45, 26) b) Answer changed to p=10 only.  The worked solutions have also been updated.

• Page 547: Section 2.50, 23) answer corrected to 0.4503

Version 1.03

• Page 93: Fixed a typo in the question 0.03 pence/cm^3 and 0.07 pence/cm^3 changed to 0.03 pence/cm^2 and 0.07 pence/cm^2

• Page 177: Fixed spacing between listed numbers in 16)

• Page 268: Fixed a typo in the question of 14) in section 2.14, "6pi-9g(0.2x+3)=0"

• Page 274: Prerequisite Knowledge spacing fixed

• Page 275: Prerequisite Knowledge missing labels for 35) and 36)

• Page 290: Title changed from "2.23 Differentiation: Connected Rates of" to "2.23 Differentiation: Connected Rates of Change"

• Page 290: Corrected 10), replacing the word cube with sphere

• Page 290: Corrected 12) replacing "the height of the water after t seconds..." with "the height of the water after t minutes..."

• Page 291:  Corrected 8) to say "A local maximum value..." instead of "The minimum value..."

• Page 354: Corrected 12) a) to say Hamza instead of Alan

• Page 511: Answers to 4) a) and 4) b) in section 2.15 had mislabelled x-axis. 3pi/2 replaced with pi

• Page 521: Answer to 12) in section 2.23 now subbing in r=10 rather than r=45

Version 1.02

• Fixed prerequisite numbering:

  • page 30 (section 1.14) should say "Q24-Q28", 

  • page 117 (section 1.41) should say "Q20-Q25", 

  • page 172 (section 1.56) should say "Q50: Conditional Probability", "Q56-Q59: Logarithms", "Use your calculator's SOLVE function for Q60 and Q61", "Q62-Q63: Logarithms"

  • page 185 (section 1.62) should say "Q11", 

  • page 226 (section 2.03) should say "Q20-Q25", 

  • page 233 (section 2.05) should say "Q9", 

  • page 264 (section 2.13) should say "Q35-Q37: Domain and Range", "Q38-Q39: Composite Functions", 

  • page 265 (section 2.13) should say "Q40-Q42: The Newton-Raphson Method",

  • page 269 (section 2.14) should say "Q21", 

  • page 276 (section 2.17) should say "Q16-Q21: Reciprocal Trigonometric Functions", 

  • page 283 (section 2.20) should say "Q17-Q18: Differentiation of the form ae^kx and solving equations involving e^x", "Q19: Differentiation of Standard Functions", "Q20: Standard Functions and Product Rule", 

  • page 299 (section 2.26) should say "Q26: Domain and Range of Functions", "Q30: Newton-Raphson Method", 

  • page 303 (section 2.28) should say "Q14: Radians", "Q16: Inverse Trigonometric Functions", "Q17: Differentiation of ln(x)", "Q18: Double Angle Formulae", 

  • page 341 (section 2.41) should say "Q13: Trig Identities", "Q18: Double Angle Formulae", "Q19-Q21: Domain and Range of Functions"

• Page 4: Fixed a typo in the question of 15) in section 1.02, "giving your answer in the form a + b√2"

• Page 15: Fixed a typo in the question of 6)a) in section 1.07, "Show that the two equations may be satisfied by"

• Page 38-39: Fixed title "1.18 Graph Sketching: Rational Functions"

• Page 48: Fixed a typo in questions 50) and 51) in section 1.22, "...attempt is shown below:"

• Page 202: Fixed a typo in 3)a) that asked for a caravan, but the question concerns a car and trailer

• Page 246: Title of page missing section number, should read "2.09 Binomial Series"

• Page 246: Corrected 22)a) in section 2.09, "1/sqrt(9-x)"

• Page 256: Fixed the domain of 1)c) in section 2.12, "0 ≤ x < π"

• Page 403: Corrected 17) in section 2.60, which should say "A particle of mass 8 kg..."

• Page 410: Fixed the solution to 3)c) in section 1.03, "-2 x -2 not equal to -1, therefore not perpendicular (they are parallel)"

• Page 414: Fixed the solution to 1)b) and 1)c) in section 1.07, "1) b) x = 1, y = -1/2" and "1) c) x = -3, y = 4"

• Page 414: Section title should say 1.08 rather than 1.07

• Page 482: Fixed the solution to 3)a) and 3)b) in section 1.69, "a=0.389" and "T=172" respectively

• Page 496: Fixed the solution to 1)b) in section 2.10, "Not a function"

• Page 497: Fixed the solution to 7)b) in section 2.10, "y ≥ -5"

• Page 530: Fixed the solution to 8)d) in section 2.33, "y = -30(1-x)^(2/3) + c"

• Page 547: Fixed the solution to 64)c) in section 2.50, "2.16%"

• Page 554: Fixed the solution to 16) in section 2.56, "(4/11)*(7-3*sqrt(3))mg"

• Page 557: Missing solution to 15)c) in section 2.60 added, "m = 6kg"

• Page 557: Fixed the solution to 17) in section 2.60, "x=0.453 m (3 SF), x=0.45 m (2 SF - AQA)"

Version 1.01 

The original!