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Category: Geometry

if-the-sum-of-three-consecutive-num-ber-in-a-geometric-progression-G-P-is-19-and-their-multiple-is-216-find-the-number-

Question Number 114374 by MASANJAJ last updated on 18/Sep/20 $${if}\:{the}\:{sum}\:{of}\:{three}\:{consecutive}\:{num} \\ $$$${ber}\:{in}\:{a}\:{geometric}\:{progression}\left({G}.{P}\right) \\ $$$${is}\:\mathrm{19}\:{and}\:{their}\:{multiple}\:{is}\:\mathrm{216}.{find} \\ $$$${the}\:{number} \\ $$ Answered by Rio Michael last updated on…

Find-the-maximum-of-f-x-cos-x-tan-x-1-tan-x-sin-x-in-terms-of-with-gt-1-and-0-lt-x-lt-tan-1-

Question Number 48739 by mr W last updated on 28/Nov/18 $${Find}\:{the}\:{maximum}\:{of} \\ $$$${f}\left({x}\right)=\mathrm{cos}\:{x}\:+\:\frac{\lambda\:\mathrm{tan}\:{x}−\mathrm{1}}{\mathrm{tan}\:{x}−\lambda}\:\mathrm{sin}\:{x} \\ $$$${in}\:{terms}\:{of}\:\lambda \\ $$$${with}\:\lambda>\mathrm{1}\:{and}\:\mathrm{0}<{x}<\mathrm{tan}^{−\mathrm{1}} \lambda \\ $$ Answered by MJS last updated…