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Question Number 86994 Answers: 0 Comments: 0

Question Number 86993 Answers: 1 Comments: 1

Question Number 86987 Answers: 0 Comments: 1

Question Number 86983 Answers: 1 Comments: 4

1) calculate ∫ (dx/((x+1)^3 (x−2)^3 )) 2) decompose the fraction F(x)=(1/((x+1)^3 (x−2)^3 ))

$$\left.\mathrm{1}\right)\:{calculate}\:\int\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right)\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{\mathrm{1}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$

Question Number 86966 Answers: 0 Comments: 1

Question Number 86965 Answers: 0 Comments: 0

Question Number 86963 Answers: 0 Comments: 0

calculate I =∫ cos^4 x sh^2 x dx

$${calculate}\:\:{I}\:=\int\:\:{cos}^{\mathrm{4}} {x}\:{sh}^{\mathrm{2}} {x}\:{dx} \\ $$

Question Number 86962 Answers: 0 Comments: 0

calculste ∫_0 ^1 x^2 ln(x)ln(1−x)dx

$${calculste}\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:{x}^{\mathrm{2}} {ln}\left({x}\right){ln}\left(\mathrm{1}−{x}\right){dx} \\ $$

Question Number 86960 Answers: 0 Comments: 1

let the mstrice A = (((1 1)),((−1 0)) ) 1)calculste A^n 2) find e^A and e^(−A) 3)find sin(A) and cis(A)

$${let}\:{the}\:{mstrice}\:{A}\:\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{−\mathrm{1}\:\:\:\:\:\:\:\mathrm{0}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right){calculste}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:{e}^{{A}} \:{and}\:{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right){find}\:{sin}\left({A}\right)\:{and}\:{cis}\left({A}\right) \\ $$

Question Number 86958 Answers: 0 Comments: 1

calculate Σ_(n=1) ^∞ (((−1)^n )/(n^3 (n+1)^2 ))

$${calculate}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}^{\mathrm{3}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} } \\ $$

Question Number 86957 Answers: 0 Comments: 2

find ∫ arctan(((1−u)/(1+u)))du

$${find}\:\int\:\:{arctan}\left(\frac{\mathrm{1}−{u}}{\mathrm{1}+{u}}\right){du} \\ $$

Question Number 86956 Answers: 0 Comments: 3

find ∫(1−(1/x^2 ))arctan(2x)dx

$${find}\:\int\left(\mathrm{1}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right){arctan}\left(\mathrm{2}{x}\right){dx} \\ $$

Question Number 86955 Answers: 2 Comments: 1

find ∫ ((arctan(x))/x)dx

$${find}\:\int\:\:\frac{{arctan}\left({x}\right)}{{x}}{dx} \\ $$

Question Number 86948 Answers: 0 Comments: 1

((−sinα+3cosα)/(4cosα+3sinα)) tgα=−3 pls help me sir

$$\frac{−{sin}\alpha+\mathrm{3}{cos}\alpha}{\mathrm{4}{cos}\alpha+\mathrm{3}{sin}\alpha} \\ $$$$ \\ $$$${tg}\alpha=−\mathrm{3} \\ $$$${pls}\:{help}\:{me}\:{sir} \\ $$

Question Number 86946 Answers: 0 Comments: 2

Question Number 86937 Answers: 0 Comments: 4

Question Number 86932 Answers: 1 Comments: 0

Question Number 86924 Answers: 1 Comments: 0

Question Number 86918 Answers: 0 Comments: 2

Question Number 86915 Answers: 0 Comments: 0

Question Number 86914 Answers: 0 Comments: 0

Question Number 86907 Answers: 1 Comments: 2

Question Number 86903 Answers: 0 Comments: 0

Question Number 86902 Answers: 0 Comments: 2

Mr.mathmax by abdo i request you to check my process to your question 86375.

$${Mr}.{mathmax}\:{by}\:{abdo} \\ $$$${i}\:{request}\:{you}\:{to}\:{check} \\ $$$${my}\:{process}\:{to}\:{your} \\ $$$${question}\:\mathrm{86375}. \\ $$

Question Number 86897 Answers: 1 Comments: 1

If ∫ (1/((x^2 +1)(x^2 +4))) dx = A tan^(−1) x+B tan^(−1) (x/2)+C, then

$$\mathrm{If}\:\int\:\frac{\mathrm{1}}{\left({x}^{\mathrm{2}} +\mathrm{1}\right)\left({x}^{\mathrm{2}} +\mathrm{4}\right)}\:{dx} \\ $$$$\:\:\:\:\:\:\:\:=\:\:{A}\:\mathrm{tan}^{−\mathrm{1}} {x}+{B}\:\mathrm{tan}^{−\mathrm{1}} \frac{{x}}{\mathrm{2}}+{C},\:\mathrm{then} \\ $$

Question Number 86895 Answers: 0 Comments: 0

A small mass rest on a horizontal plat form which vibrates vertically in simple harmonic motion with period 0.50s. Find the maximum amplitude of the motion which allow which allow the mass to remain in contact with the platform throughout the motion

$$\mathrm{A}\:\mathrm{small}\:\mathrm{mass}\:\mathrm{rest}\:\mathrm{on}\:\mathrm{a}\:\mathrm{horizontal}\:\mathrm{plat}\:\mathrm{form}\:\mathrm{which}\:\mathrm{vibrates}\: \\ $$$$\mathrm{vertically}\:\mathrm{in}\:\mathrm{simple}\:\mathrm{harmonic}\:\mathrm{motion}\:\mathrm{with}\:\mathrm{period}\:\mathrm{0}.\mathrm{50s}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{amplitude}\:\mathrm{of}\:\mathrm{the}\:\mathrm{motion}\:\mathrm{which}\:\mathrm{allow}\:\mathrm{which} \\ $$$$\mathrm{allow}\:\mathrm{the}\:\mathrm{mass}\:\mathrm{to}\:\mathrm{remain}\:\mathrm{in}\:\mathrm{contact}\:\mathrm{with}\:\mathrm{the}\:\mathrm{platform}\:\mathrm{throughout} \\ $$$$\mathrm{the}\:\mathrm{motion} \\ $$

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