Menu Close

Author: Tinku Tara

C-2-R-x-y-x-y-x-y-0-x-y-x-y-y-x-x-z-x-y-y-z-x-C-y-C-z-C-

Question Number 1318 by 123456 last updated on 22/Jul/15 $$\eta:\mathbb{C}^{\mathrm{2}} \rightarrow\mathbb{R}_{+} \\ $$$$\eta\left({x},{y}\right)=\mid\mid{x}\mid−\mid{y}\mid\mid \\ $$$$\eta\left({x},{y}\right)=\mathrm{0}\overset{?} {\Leftrightarrow}{x}={y} \\ $$$$\eta\left({x},{y}\right)\overset{?} {=}\eta\left({y},{x}\right) \\ $$$$\eta\left({x},{z}\right)\overset{?} {\leqslant}\eta\left({x},{y}\right)+\eta\left({y},{z}\right) \\ $$$${x}\in\mathbb{C} \\…

Question-66852

Question Number 66852 by John Kaloki Musau last updated on 20/Aug/19 Commented by John Kaloki Musau last updated on 20/Aug/19 The cross-section of a head of a bolt is the form of a regular hexagon as shown in the figure below. Determine the area of the cross-section. Commented by John Kaloki…

does-anyone-know-a-practicaly-way-of-finding-results-from-4-3x-2x-2-x-4-1-3x-2-x-5-

Question Number 132390 by bramlexs22 last updated on 14/Feb/21 $$\mathrm{does}\:\mathrm{anyone}\:\mathrm{know}\:\mathrm{a}\:\mathrm{practicaly} \\ $$$$\mathrm{way}\:\mathrm{of}\:\mathrm{finding}\:\mathrm{results}\:\mathrm{from} \\ $$$$\:\left(\mathrm{4}−\mathrm{3x}+\mathrm{2x}^{\mathrm{2}} −\mathrm{x}^{\mathrm{4}} \right)×\left(−\mathrm{1}+\mathrm{3x}^{\mathrm{2}} −\mathrm{x}^{\mathrm{5}} \right)? \\ $$ Answered by EDWIN88 last updated…

Question-66851

Question Number 66851 by John Kaloki Musau last updated on 20/Aug/19 Commented by John Kaloki Musau last updated on 20/Aug/19 A piece of wire, pcm long, is bent to form the shape shown in the figure above. The figure consists of a semicircular arc of radius rcm and two perpendicular sides of length xcm each. Express x in terms of p and r, hence show that the area of the figure is given by A=1/2πr^2+1/8(p-πr)^2 Answered by John Kaloki…

Find-the-value-of-ln-i-ln-3-4i-

Question Number 132386 by liberty last updated on 13/Feb/21 $$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\begin{cases}{\mathrm{ln}\:{i}}\\{\mathrm{ln}\:\left(\mathrm{3}+\mathrm{4}{i}\right)}\end{cases} \\ $$ Answered by EDWIN88 last updated on 13/Feb/21 $$\left(\mathrm{1}\right)\mathrm{ln}\:{i}\:=\:\mathrm{ln}\:\mid{i}\mid\:+{i}\:\left(\mathrm{arg}\:\left({i}\right)+\mathrm{2}{n}\pi\right)=\mathrm{ln}\:\mathrm{1}+{i}\:\left(\frac{\pi}{\mathrm{2}}+\mathrm{2n}\pi\right) \\ $$$$\left(\mathrm{2}\right)\mathrm{ln}\:\left(\mathrm{3}+\mathrm{4}{i}\right)=\mathrm{ln}\:\mid\mathrm{3}+\mathrm{4}{i}\mid=\mathrm{ln}\:\sqrt{\mathrm{3}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}} }\:+{i}\left(\mathrm{arctan}\:\left(\frac{\mathrm{4}}{\mathrm{3}}\right)+\mathrm{2}{n}\pi\right) \\…

Question-66849

Question Number 66849 by John Kaloki Musau last updated on 20/Aug/19 Commented by John Kaloki Musau last updated on 20/Aug/19 A girl wanted to make a regular octagon of side 14cm. She made it from a square piece of a card of size ycm by cutting off four isosceles triangles whose equal sides were xcm each, as shown in the figure above. (a) Write down an expression for the area of the octagon in terms of x and y. (b) Find the value of x. (c) Find the area of the octagon. Commented by John Kaloki…