I am Ronaldo Ferguson, a High School Teacher of Cape Mathematics. This channel is primarily to facilitate students preparing for CXC Mathematics Exams, including CSEC Mathematics, CSEC Additional Mathematics, CAPE Pure Mathematics Unit 1 and Unit 2, and Integrated Mathematics.
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I just wrote out this paper 1. All 45 questions were repeated questions. I will be doing unit 2 p1 in May June 2025. I hope all are repeat questions like this paper. Question 32 is C not A as was suggested by a previous post. Keep up the good work.
number 41 should be D at the given boundary conditions c_1 = b and sin (2t) is 0, which means every real number c_2 in y(t) = b cos 2t + (c_2) (sin 2t) is a solution so there would be infinitely many solutions from applying the boundary conditions
could you check the count for number 39 with the word "irregular" and the 3 'r's not together if you do the problem with the words "suss" and "sassy", for suss you'd get 4!/3! - 2!, where the 2! is for the arrangements of {u, sss} there'd be only 2 words where the 3 's' aren't together for sassy you'd get 5!/3! - 3!, where the 3! is for the arrangements of {a, y, sss} you should get 14 words where the 3 's' aren't together we can enumerate those since they're a small amount and verify the counts 2 and 14 are correct so for irregular, it's gotta be 9!/3! - 7!, where the 7! is for {i, e, g, u, l, a, rrr} the division by 3! is for the one letter occuring 3 times in the word and the numerator is the factorial of the number of letters in the given word Choice B has to the answer~
For number 36, timestamp 7:35 Something is up with the choices as they are written on the paper The matrix of cofactors and the adjugate are not the same thing (the adjugate is the transpose of the matrix of cofactors) that times (the reciprocal of the determinant) is the inverse choice B as it is printed does not account for the transpose situation choice A looks closest to the answer, if we omitted the negative sign on the 7 in the third column
Thanks for the vid! Could you check 22 again please? Timestamp 5:35 III is in choices B, C and D, but the series is not arithmetic so we can eliminate those off the cuff The answer should be A The sums in I and II have easy closed formed expressions
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