Rollover or tap image to see magnified area.

  Item Reference: KCLCAL-1870-1871-515

Please note: The digitised calendars in this site have had their contents extracted using OCR (optical character recognition) and as a result, there may be occasional errors in the text. We are working on correcting these errors, but this may take some time.

Page content

general literature and science 515 coefficients of the following fuuctions of χ αχ sin ax and log sin 16 Prove the rule for differentiating the product to two func- tions If m1 u2u3 un where ur ar χ br show that dU la ן e2 ίΜ υ dx v2 n' 17 Find the differential coefficient of and obtain from the following equations xeim xx קךן &c 18 Prove geometrically that if y1 2ax then while χ is less than Hence show that the differential co- dx efficients of the surface of cylinder and of hemisphere upon the same circular base are equal with respect to the altitude of section parallel to the base and cutting both surfaces Deduce the surface of sphere 19 Prove the theorem of Leibnitz for the th differential co- efficient of the product of two functions d" Show'that ex ex and evaluate the Wm bW 1M Tlrf9i4ii β Μ expression when jg 20 Assuming thatf can be developed in series of ascending powers of find the law of the coefficients Expand gax in ascending powers of 21 Investigate Lagrange's theorem for the remainder after η terms of the expansion in ascending powers of Apply it to the expansion of sin 22 Explain the sense in which Taylor's theorem can be said to fail in cartain cases Illustrate your meaning by an example Κ Κ
ARCHIOS™ | Total time:0.0359 s | Source:cache | Platform: NX