Question 5 It is given that y=ln(1+sinx). (a) Find dxdy. (2) (b) Show that dx2d2y=−e−y. (2) (c) Express dx4d4y in ter
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Question 5 It is given that y=ln(1+sinx). (a) Find dxdy. (2) (b) Show that dx2d2y=−e−y. (2) (c) Express dx4d4y in ter
Question 5 It is given that y=ln(1+sinx). (a) Find dxdy. (2) (b) Show that dx2d2y=−e−y. (2) (c) Express dx4d4y in terms of dxdy and e−y. (3) (d) Hence, by using Maclaurin's theorem, find the first four non-zero terms in the expansion, in ascending powers of x, of ln(1+sinx). (3)
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