Question and Answers Forum

AlgebraQuestion and Answers: Page 57

Question Number 201463 Answers: 1 Comments: 0

a = constant number: if ∫x ∙ f(x) dx = x^3 - x^2 + 4x - (a/5) find f(2) = ?

$$\mathrm{a}\:=\:\mathrm{constant}\:\mathrm{number}: \\ $$$$\mathrm{if}\:\:\:\int\mathrm{x}\:\centerdot\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{dx}\:=\:\mathrm{x}^{\mathrm{3}} \:-\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{4x}\:-\:\frac{\mathrm{a}}{\mathrm{5}} \\ $$$$\mathrm{find}\:\:\:\mathrm{f}\left(\mathrm{2}\right)\:=\:? \\ $$

Question Number 201462 Answers: 1 Comments: 0

Find: ∫_0 ^( 𝛑) (√(1 - 4 sin^2 (x/2) cos^2 (x/2))) dx = ?

$$\mathrm{Find}: \\ $$$$\int_{\mathrm{0}} ^{\:\boldsymbol{\pi}} \:\sqrt{\mathrm{1}\:-\:\mathrm{4}\:\mathrm{sin}^{\mathrm{2}} \:\frac{\mathrm{x}}{\mathrm{2}}\:\mathrm{cos}^{\mathrm{2}} \:\frac{\mathrm{x}}{\mathrm{2}}}\:\mathrm{dx}\:=\:? \\ $$

Question Number 201460 Answers: 1 Comments: 0

Find the smallest positive period of the function: y = ∣ tan 2x ∣ + ∣ cot 2x ∣

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{positive}\:\mathrm{period}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{function}: \\ $$$$\mathrm{y}\:=\:\mid\:\mathrm{tan}\:\mathrm{2x}\:\mid\:\:+\:\:\mid\:\mathrm{cot}\:\mathrm{2x}\:\mid \\ $$

Question Number 201302 Answers: 1 Comments: 0

{ ((x^2 + y^(−2) = 4)),((x^(−2) + y^2 = 5)) :} find: (y/x) = ?

$$\begin{cases}{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{−\mathrm{2}} \:=\:\mathrm{4}}\\{\mathrm{x}^{−\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{5}}\end{cases}\:\:\:\:\:\mathrm{find}:\:\:\frac{\mathrm{y}}{\mathrm{x}}\:=\:? \\ $$

Question Number 201282 Answers: 1 Comments: 0

Question Number 201253 Answers: 2 Comments: 0

find the sum of n terms of the serice s_n =5+11+19+29+41+..........

$${find}\:{the}\:{sum}\:{of}\:{n}\:{terms}\:{of}\:{the}\:{serice} \\ $$$${s}_{{n}} =\mathrm{5}+\mathrm{11}+\mathrm{19}+\mathrm{29}+\mathrm{41}+.......... \\ $$

Question Number 201237 Answers: 1 Comments: 3

If , a ∣ 5b^( 2) −10b +1 ⇒ [ a , 5b ]_(lcm) = ?

$$ \\ $$$$\:\:\:\:{If}\:\:,\:\:\:{a}\:\mid\:\mathrm{5}{b}^{\:\mathrm{2}} −\mathrm{10}{b}\:+\mathrm{1}\: \\ $$$$\:\:\:\:\:\Rightarrow\:\:\:\left[\:{a}\:\:,\:\mathrm{5}{b}\:\right]_{\mathrm{lc}{m}} \:=\:\:?\: \\ $$$$ \\ $$$$ \\ $$

Question Number 201200 Answers: 3 Comments: 2

Question Number 201190 Answers: 1 Comments: 0

Question Number 201162 Answers: 4 Comments: 0

Question Number 201152 Answers: 4 Comments: 0

if 4^x +4^(−x) =7 then 8^x +8^(−x) =?

$${if}\:\:\mathrm{4}^{{x}} +\mathrm{4}^{−{x}} =\mathrm{7} \\ $$$${then}\:\:\:\mathrm{8}^{{x}} +\mathrm{8}^{−{x}} =? \\ $$

Question Number 201149 Answers: 1 Comments: 0

Question Number 201106 Answers: 1 Comments: 0

calculate ... Σ_(n=1) ^∞ (( ζ(2n ))/(2^( n) .n)) = ?

$$ \\ $$$$\:\:\:\:\:{calculate}\:... \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\:\zeta\left(\mathrm{2}{n}\:\right)}{\mathrm{2}^{\:{n}} .{n}}\:=\:? \\ $$$$ \\ $$

Question Number 201081 Answers: 4 Comments: 0

Question Number 201047 Answers: 0 Comments: 0

Question Number 201041 Answers: 1 Comments: 0

4(33)7 4(24)6 5( ? )4 a)9 b)18 c)27 d)36

$$\mathrm{4}\left(\mathrm{33}\right)\mathrm{7} \\ $$$$\mathrm{4}\left(\mathrm{24}\right)\mathrm{6} \\ $$$$\mathrm{5}\left(\:?\:\right)\mathrm{4} \\ $$$$ \\ $$$$\left.{a}\left.\right)\left.\mathrm{9}\left.\:\:\:\:\:{b}\right)\mathrm{18}\:\:\:\:\:{c}\right)\mathrm{27}\:\:\:\:\:{d}\right)\mathrm{36} \\ $$

Question Number 201034 Answers: 0 Comments: 0

Question Number 200971 Answers: 1 Comments: 0

Question Number 200961 Answers: 2 Comments: 0

−x^3 +1=((−x+1))^(1/3) ⇒x=?

$$\: \\ $$$$\:\:\:\:\:−{x}^{\mathrm{3}} +\mathrm{1}=\sqrt[{\mathrm{3}}]{−{x}+\mathrm{1}}\:\Rightarrow{x}=? \\ $$$$ \\ $$

Question Number 200937 Answers: 2 Comments: 0

Question Number 200942 Answers: 1 Comments: 0

Question Number 200931 Answers: 1 Comments: 0

(1/9)+(1/(18))+(1/(30))+(1/(45))+(1/(63))+(1/(84))+...∞=?

$$\frac{\mathrm{1}}{\mathrm{9}}+\frac{\mathrm{1}}{\mathrm{18}}+\frac{\mathrm{1}}{\mathrm{30}}+\frac{\mathrm{1}}{\mathrm{45}}+\frac{\mathrm{1}}{\mathrm{63}}+\frac{\mathrm{1}}{\mathrm{84}}+...\infty=? \\ $$$$ \\ $$

Question Number 200885 Answers: 1 Comments: 1

(√((32^4 +41^4 +73^4 )/2))

$$\:\:\: \sqrt{\frac{\mathrm{32}^{\mathrm{4}} +\mathrm{41}^{\mathrm{4}} +\mathrm{73}^{\mathrm{4}} }{\mathrm{2}}}\: \\ $$

Question Number 200877 Answers: 0 Comments: 5

Question Number 200795 Answers: 1 Comments: 0

lim_(x→sin1) ((1−x^2 )/(1+cosx))=?

$$\underset{{x}\rightarrow{sin}\mathrm{1}} {\mathrm{lim}}\:\frac{\mathrm{1}−{x}^{\mathrm{2}} }{\mathrm{1}+{cosx}}=? \\ $$

Question Number 200788 Answers: 1 Comments: 0

sinx + cosx = tgx x = ?

$$\mathrm{sin}\boldsymbol{\mathrm{x}}\:\:\:+\:\:\:\mathrm{cos}\boldsymbol{\mathrm{x}}\:\:\:=\:\:\:\mathrm{tg}\boldsymbol{\mathrm{x}} \\ $$$$\mathrm{x}\:=\:? \\ $$

Pg 52 Pg 53 Pg 54 Pg 55 Pg 56 Pg 57 Pg 58 Pg 59 Pg 60 Pg 61

Contact: info@tinkutara.com