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Question Number 180565    Answers: 2   Comments: 1

(2x+(√(4x^2 +1)))(3y+(√(9y^2 +1)))=1 (4x+6y)^3 =? Show full solution

$$\left(\mathrm{2}{x}+\sqrt{\mathrm{4}{x}^{\mathrm{2}} +\mathrm{1}}\right)\left(\mathrm{3}{y}+\sqrt{\mathrm{9}{y}^{\mathrm{2}} +\mathrm{1}}\right)=\mathrm{1} \\ $$$$\left(\mathrm{4}{x}+\mathrm{6}{y}\right)^{\mathrm{3}} =? \\ $$$${Show}\:{full}\:{solution} \\ $$

Question Number 180558    Answers: 1   Comments: 0

The football team meets in a circle to consult about some plan to play, what′s the probability that the one player of the opponent team who′s trying to eavesdrops is standing behind the goalkeeper?

$${The}\:{football}\:{team}\:{meets}\:{in}\:{a}\:{circle}\:{to}\:{consult} \\ $$$$\:{about}\:{some}\:{plan}\:{to}\:{play},\:{what}'{s}\:{the}\:{probability} \\ $$$$\:{that}\:{the}\:{one}\:{player}\:{of}\:{the}\:{opponent}\:{team}\:{who}'{s} \\ $$$$\:{trying}\:{to}\:{eavesdrops}\:{is}\:{standing}\:{behind}\:{the} \\ $$$$\:{goalkeeper}? \\ $$

Question Number 180554    Answers: 2   Comments: 0

Question Number 180553    Answers: 1   Comments: 2

Question Number 180550    Answers: 1   Comments: 0

Resoudre af^′ (x)+(b/(f(x)))+c=0 (a,b,c)∈R^3

$${Resoudre}\: \\ $$$${af}^{'} \left({x}\right)+\frac{{b}}{{f}\left({x}\right)}+{c}=\mathrm{0}\:\:\:\:\left({a},{b},{c}\right)\in\mathbb{R}^{\mathrm{3}} \\ $$

Question Number 180549    Answers: 0   Comments: 0

Cross fertilization of 130 peas from different pure line yielded the following phenotype (GS, GW, and YW as follow GS only (36), GS and YW (15), all the three phenotype (9), GS and GW (14) YW and GW only (4). the number of those that have only YW or only GW are equal. a) How many peas have GW phenotype? b) How many peas have only one phenotype?

$$\mathrm{Cross}\:\mathrm{fertilization}\:\mathrm{of}\:\mathrm{130}\:\mathrm{peas}\:\mathrm{from} \\ $$$$\mathrm{different}\:\mathrm{pure}\:\mathrm{line}\:\mathrm{yielded}\:\mathrm{the}\:\mathrm{following} \\ $$$$\mathrm{phenotype}\:\left(\mathrm{GS},\:\mathrm{GW},\:\mathrm{and}\:\mathrm{YW}\:\mathrm{as}\:\mathrm{follow}\right. \\ $$$$\mathrm{GS}\:\mathrm{only}\:\left(\mathrm{36}\right),\:\mathrm{GS}\:\mathrm{and}\:\mathrm{YW}\:\left(\mathrm{15}\right),\:\mathrm{all}\:\mathrm{the} \\ $$$$\mathrm{three}\:\mathrm{phenotype}\:\left(\mathrm{9}\right),\:\mathrm{GS}\:\mathrm{and}\:\mathrm{GW}\:\left(\mathrm{14}\right) \\ $$$$\mathrm{YW}\:\mathrm{and}\:\mathrm{GW}\:\mathrm{only}\:\left(\mathrm{4}\right).\:\mathrm{the}\:\mathrm{number}\:\mathrm{of} \\ $$$$\mathrm{those}\:\mathrm{that}\:\mathrm{have}\:\mathrm{only}\:\mathrm{YW}\:\mathrm{or}\:\mathrm{only}\:\mathrm{GW} \\ $$$$\mathrm{are}\:\mathrm{equal}. \\ $$$$\left.\mathrm{a}\right)\:\mathrm{How}\:\mathrm{many}\:\mathrm{peas}\:\mathrm{have}\:\mathrm{GW}\:\mathrm{phenotype}? \\ $$$$\left.\mathrm{b}\right)\:\mathrm{How}\:\mathrm{many}\:\mathrm{peas}\:\mathrm{have}\:\mathrm{only}\:\mathrm{one}\: \\ $$$$\mathrm{phenotype}? \\ $$

Question Number 180547    Answers: 1   Comments: 0

Question Number 180545    Answers: 0   Comments: 3

how do i prove for ∫cosec^2 (x)dx and ∫sec(x)tan(x)dx

$$\:\boldsymbol{\mathrm{how}}\:\boldsymbol{\mathrm{do}}\:\boldsymbol{\mathrm{i}}\:\boldsymbol{\mathrm{prove}}\:\boldsymbol{\mathrm{for}} \\ $$$$\:\int\boldsymbol{\mathrm{cosec}}^{\mathrm{2}} \left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{dx}}\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{and}} \\ $$$$\:\int\boldsymbol{\mathrm{sec}}\left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{tan}}\left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{dx}} \\ $$$$\: \\ $$

Question Number 180543    Answers: 1   Comments: 0

12.589 we read non−decimal 12 but decimal number 5,8,9 separate read. why?

$$\mathrm{12}.\mathrm{589} \\ $$$$\mathrm{we}\:\mathrm{read}\:\mathrm{non}−\mathrm{decimal}\:\mathrm{12}\:\mathrm{but}\:\mathrm{decimal} \\ $$$$\mathrm{number}\:\mathrm{5},\mathrm{8},\mathrm{9}\:\mathrm{separate}\:\mathrm{read}.\:\mathrm{why}? \\ $$

Question Number 180542    Answers: 2   Comments: 0

Resoudre dans R 1) a+b+c=2 a^2 +b^2 +c^2 =6 (1/a)+(1/b)+(1/c)=(1/2) 2) x^2 +xy+y^2 =3 y^2 +yz+z^2 =7 z^2 +zx+x^2 =13

$${Resoudre}\:{dans}\:\mathbb{R} \\ $$$$\left.\mathrm{1}\right) \\ $$$${a}+{b}+{c}=\mathrm{2} \\ $$$${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{6} \\ $$$$\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}=\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$ \\ $$$$\left.\mathrm{2}\right) \\ $$$${x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}} =\mathrm{3} \\ $$$${y}^{\mathrm{2}} +{yz}+{z}^{\mathrm{2}} =\mathrm{7} \\ $$$${z}^{\mathrm{2}} +{zx}+{x}^{\mathrm{2}} =\mathrm{13} \\ $$

Question Number 180520    Answers: 2   Comments: 0

The number of triangles that can be formed by 5 points in a line and 3 points on a parralel line is ___

$$\:\:\:\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{triangles}\: \\ $$$$\:\:\:\mathrm{that}\:\mathrm{can}\:\mathrm{be}\:\mathrm{formed}\:\mathrm{by}\:\mathrm{5}\:\mathrm{points}\: \\ $$$$\:\:\:\mathrm{in}\:\mathrm{a}\:\mathrm{line}\:\mathrm{and}\:\mathrm{3}\:\mathrm{points}\:\mathrm{on}\:\mathrm{a}\:\mathrm{parralel}\:\mathrm{line} \\ $$$$\:\:\:\mathrm{is}\:\_\_\_\: \\ $$

Question Number 180652    Answers: 1   Comments: 0

Question Number 180510    Answers: 2   Comments: 1

Question Number 180509    Answers: 1   Comments: 0

Question Number 180653    Answers: 2   Comments: 0

Question Number 180498    Answers: 2   Comments: 3

Question Number 180497    Answers: 0   Comments: 0

Question Number 180496    Answers: 0   Comments: 0

Question Number 180495    Answers: 1   Comments: 0

Question Number 180490    Answers: 3   Comments: 0

Question Number 180485    Answers: 0   Comments: 1

Determine the value of a and b , that make the function f(x) continuity f(x) = { ((x + 3 ,x ≨ 4)),((2ax + b ,x = 4)),((x^2 −3 , x ≩ 4)) :}

$${Determine}\:{the}\:{value}\:{of}\:{a}\:{and}\:{b}\:, \\ $$$$\:{that}\:{make}\:{the}\:{function}\:{f}\left({x}\right)\:{continuity} \\ $$$${f}\left({x}\right)\:=\:\begin{cases}{{x}\:+\:\mathrm{3}\:\:\:\:\:,{x}\:\lneqq\:\mathrm{4}}\\{\mathrm{2}{ax}\:+\:{b}\:\:\:\:,{x}\:=\:\mathrm{4}}\\{{x}^{\mathrm{2}} −\mathrm{3}\:\:\:,\:{x}\:\gneqq\:\mathrm{4}}\end{cases} \\ $$

Question Number 180483    Answers: 0   Comments: 1

Question Number 180471    Answers: 0   Comments: 1

Question Number 180467    Answers: 1   Comments: 0

Question Number 180459    Answers: 2   Comments: 0

Question Number 180458    Answers: 2   Comments: 0

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