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Question Number 9113 Answers: 0 Comments: 1

∫_0 ^1 x^2 /x^2 +1=0

$$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{x}^{\mathrm{2}} /\mathrm{x}^{\mathrm{2}} +\mathrm{1}=\mathrm{0} \\ $$

Question Number 9109 Answers: 1 Comments: 0

if y = x^(log_a xy) find (dy/dx)

$$\mathrm{if}\:\:\:\mathrm{y}\:=\:\mathrm{x}^{\mathrm{log}_{\mathrm{a}} \mathrm{xy}} \\ $$$$\mathrm{find}\:\:\frac{\mathrm{dy}}{\mathrm{dx}} \\ $$

Question Number 9108 Answers: 0 Comments: 0

∫x^4 (√(x^2 − 4)) dx

$$\int\mathrm{x}^{\mathrm{4}} \sqrt{\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{4}}\:\:\mathrm{dx} \\ $$

Question Number 9107 Answers: 1 Comments: 0

Question Number 9101 Answers: 1 Comments: 2

Question Number 9100 Answers: 1 Comments: 0

luas segi 6 beraturan dgn panjang sisi 10 cm adalah...?

$$\mathrm{luas}\:\mathrm{segi}\:\mathrm{6}\:\mathrm{beraturan}\:\mathrm{dgn}\:\mathrm{panjang}\: \\ $$$$\mathrm{sisi}\:\mathrm{10}\:\mathrm{cm}\:\mathrm{adalah}...? \\ $$$$ \\ $$

Question Number 9097 Answers: 0 Comments: 0

Question Number 9096 Answers: 1 Comments: 0

Question Number 9087 Answers: 0 Comments: 1

Question Number 9086 Answers: 0 Comments: 2

Prove the limit., ((sin(θ/2))/((θ/2))) = 1

$$\mathrm{Prove}\:\mathrm{the}\:\mathrm{limit}.,\:\:\:\frac{\mathrm{sin}\left(\theta/\mathrm{2}\right)}{\left(\theta/\mathrm{2}\right)}\:=\:\mathrm{1} \\ $$

Question Number 9085 Answers: 1 Comments: 0

Question Number 9080 Answers: 0 Comments: 1

Question Number 9077 Answers: 0 Comments: 0

Question Number 9069 Answers: 0 Comments: 2

Question Number 9061 Answers: 2 Comments: 1

Question Number 9057 Answers: 4 Comments: 0

Question Number 9049 Answers: 0 Comments: 5

Prove that every even number can be expressed as sum of two primes or give an counter example.

$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{every}\:\mathrm{even}\:\mathrm{number}\:\mathrm{can}\:\mathrm{be}\: \\ $$$$\mathrm{expressed}\:\mathrm{as}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{two}\:\mathrm{primes}\:\mathrm{or} \\ $$$$\mathrm{give}\:\mathrm{an}\:\mathrm{counter}\:\mathrm{example}. \\ $$

Question Number 9048 Answers: 1 Comments: 0

Question Number 9041 Answers: 0 Comments: 2

Question Number 9032 Answers: 0 Comments: 2

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Question Number 9030 Answers: 0 Comments: 0

f(x ,y)=f(2x+2y, 2y−2x) IF f(2^x ,0)=f(2^(x+k) ,0) Find minimum value of k>0.

$${f}\left({x}\:,{y}\right)={f}\left(\mathrm{2}{x}+\mathrm{2}{y},\:\mathrm{2}{y}−\mathrm{2}{x}\right) \\ $$$$\mathrm{I}{F}\:{f}\left(\mathrm{2}^{{x}} ,\mathrm{0}\right)={f}\left(\mathrm{2}^{{x}+{k}} ,\mathrm{0}\right) \\ $$$$\boldsymbol{\mathrm{F}}\mathrm{ind}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{k}>\mathrm{0}. \\ $$

Question Number 9029 Answers: 2 Comments: 0

2cos(x+Π/4)=cos(x−Π/4)

$$ \\ $$$$\mathrm{2}{cos}\left({x}+\Pi/\mathrm{4}\right)={cos}\left({x}−\Pi/\mathrm{4}\right) \\ $$

Question Number 9025 Answers: 0 Comments: 7

Determine number/s that is/are comprised of four distinct prime factors such that difference of largest and smallest prime factors is equal to the sum of remaining two factors. _(Propsed by Rasheed Soomro)

$$\mathrm{Determine}\:\mathrm{number}/\mathrm{s}\:\mathrm{that}\:\mathrm{is}/\mathrm{are}\:\mathrm{comprised} \\ $$$$\mathrm{of}\:\mathrm{four}\:\mathrm{distinct}\:\mathrm{prime}\:\mathrm{factors}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{difference}\:\mathrm{of}\:\mathrm{largest}\:\mathrm{and}\:\mathrm{smallest}\:\mathrm{prime} \\ $$$$\mathrm{factors}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{remaining} \\ $$$$\mathrm{two}\:\mathrm{factors}.\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:_{\mathrm{Propsed}\:\mathrm{by}\:\mathrm{Rasheed}\:\mathrm{Soomro}} \\ $$

Question Number 9021 Answers: 1 Comments: 0

What is the remainder when (13^5 + 14^5 + 15^5 + 16^5 ) is divided by 29 ?

$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{when}\: \\ $$$$\left(\mathrm{13}^{\mathrm{5}} \:+\:\mathrm{14}^{\mathrm{5}} \:+\:\mathrm{15}^{\mathrm{5}} \:+\:\mathrm{16}^{\mathrm{5}} \right)\:\mathrm{is}\:\mathrm{divided}\:\mathrm{by}\:\mathrm{29}\:?\: \\ $$

Question Number 9020 Answers: 2 Comments: 1

Question Number 9019 Answers: 0 Comments: 0

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