Question and Answers Forum

AllQuestion and Answers: Page 1237

Question Number 85360 Answers: 1 Comments: 0

∫(e^((1−x)×e^x ) ×e^(∫xe^x dx) )dx

$$\int\left(\mathrm{e}^{\left(\mathrm{1}−\mathrm{x}\right)×\mathrm{e}^{\mathrm{x}} } ×\mathrm{e}^{\int\mathrm{xe}^{\mathrm{x}} \mathrm{dx}} \right)\mathrm{dx} \\ $$

Question Number 85358 Answers: 1 Comments: 0

((x ))^(1/(3 )) + (√x) = 12

$$\sqrt[{\mathrm{3}\:\:}]{\mathrm{x}\:}\:+\:\sqrt{\mathrm{x}}\:=\:\mathrm{12} \\ $$

Question Number 85356 Answers: 1 Comments: 0

(x^3 +y^3 ) = 3xy^2 (dy/dx)

$$\left(\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} \right)\:=\:\mathrm{3xy}^{\mathrm{2}} \:\frac{\mathrm{dy}}{\mathrm{dx}} \\ $$

Question Number 85355 Answers: 1 Comments: 4

Question Number 85354 Answers: 0 Comments: 0

∫x(sin(cos(x)))^(x−1) dx

$$\int{x}\left({sin}\left({cos}\left({x}\right)\right)\right)^{{x}−\mathrm{1}} \:\:{dx} \\ $$

Question Number 85352 Answers: 0 Comments: 0

Question Number 85351 Answers: 0 Comments: 0

Σ_(n= 4) ^∞ ((x^2 +2x+3)/(2^x (x^2 + 4))) = ?

$$\underset{{n}=\:\mathrm{4}} {\overset{\infty} {\sum}}\:\:\frac{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{3}}{\mathrm{2}^{{x}} \left({x}^{\mathrm{2}} \:+\:\mathrm{4}\right)}\:\:=\:\:? \\ $$

Question Number 85349 Answers: 0 Comments: 1

(√(cos 2x)) +(√(1+sin 2x)) = 2(√(sin x+cos x)) x ∈ (0,2π )

$$\sqrt{\mathrm{cos}\:\mathrm{2x}}\:+\sqrt{\mathrm{1}+\mathrm{sin}\:\mathrm{2x}}\:=\:\mathrm{2}\sqrt{\mathrm{sin}\:\mathrm{x}+\mathrm{cos}\:\mathrm{x}}\: \\ $$$$\mathrm{x}\:\in\:\left(\mathrm{0},\mathrm{2}\pi\:\right) \\ $$

Question Number 85347 Answers: 0 Comments: 1

log_(0.5) ^2 (8+2x−x^2 )−7log_2 (8+2x−x^2 )<−12

$$\mathrm{log}_{\mathrm{0}.\mathrm{5}} ^{\mathrm{2}} \left(\mathrm{8}+\mathrm{2x}−\mathrm{x}^{\mathrm{2}} \right)−\mathrm{7log}_{\mathrm{2}} \left(\mathrm{8}+\mathrm{2x}−\mathrm{x}^{\mathrm{2}} \right)<−\mathrm{12} \\ $$

Question Number 85346 Answers: 1 Comments: 1

∫_( 0) ^∞ ((cos (πx))/(π^2 +x^2 )) dx = ?

$$\underset{\:\mathrm{0}} {\int}\:\overset{\infty} {\:}\:\:\frac{\mathrm{cos}\:\left(\pi{x}\right)}{\pi^{\mathrm{2}} +{x}^{\mathrm{2}} }\:{dx}\:\:=\:\:? \\ $$

Question Number 85372 Answers: 1 Comments: 0

sin^2 x−4cos^2 x = 3 sin x cos x find tan x.

$$\mathrm{sin}\:^{\mathrm{2}} {x}−\mathrm{4cos}\:^{\mathrm{2}} {x}\:=\:\mathrm{3}\:\mathrm{sin}\:{x}\:\mathrm{cos}\:{x} \\ $$$${find}\:\mathrm{tan}\:{x}.\: \\ $$

Question Number 85374 Answers: 0 Comments: 2

∫_0 ^1 ((x^7 +x^3 +1)/(x^4 +1)) dx

$$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{{x}^{\mathrm{7}} +{x}^{\mathrm{3}} +\mathrm{1}}{{x}^{\mathrm{4}} +\mathrm{1}}\:{dx}\: \\ $$

Question Number 85323 Answers: 1 Comments: 0

∫((z−3)/(5z−10))dz

$$\int\frac{\mathrm{z}−\mathrm{3}}{\mathrm{5z}−\mathrm{10}}\mathrm{dz} \\ $$

Question Number 85321 Answers: 0 Comments: 0

Question Number 85322 Answers: 0 Comments: 10

please help me to solve this in N A_n ^2 −3C_n ^( n−2) +n=−20

$${please}\:{help}\:{me}\:{to}\:{solve}\:{this}\:{in}\:\mathbb{N} \\ $$$${A}_{{n}} ^{\mathrm{2}} −\mathrm{3}{C}_{{n}} ^{\:{n}−\mathrm{2}} +{n}=−\mathrm{20} \\ $$

Question Number 85319 Answers: 1 Comments: 0

∫((2+u)/(−u^2 −u))du

$$\int\frac{\mathrm{2}+\mathrm{u}}{−\mathrm{u}^{\mathrm{2}} −\mathrm{u}}\mathrm{du} \\ $$

Question Number 85318 Answers: 0 Comments: 1

Question Number 85315 Answers: 0 Comments: 1

The largest interval in which x lies satisfying x^(12) −x^9 +x^4 −x+1>0 is

$$\mathrm{The}\:\mathrm{largest}\:\mathrm{interval}\:\mathrm{in}\:\mathrm{which}\:{x}\:\mathrm{lies} \\ $$$$\mathrm{satisfying}\:{x}^{\mathrm{12}} −{x}^{\mathrm{9}} +{x}^{\mathrm{4}} −{x}+\mathrm{1}>\mathrm{0}\:\mathrm{is} \\ $$

Question Number 85313 Answers: 1 Comments: 0

tan^2 (20^o ) + tan^2 (40^o )+ tan^2 (80^o ) =

$$\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{20}^{\mathrm{o}} \right)\:+\:\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{40}^{\mathrm{o}} \right)+\:\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{80}^{\mathrm{o}} \right)\:= \\ $$

Question Number 85298 Answers: 2 Comments: 2

Find the symmetry axes (if any) of the following curve: x^2 +y^2 −2xy+2x−8y−2=0

$${Find}\:{the}\:{symmetry}\:{axes}\:\left({if}\:{any}\right)\:{of} \\ $$$${the}\:{following}\:{curve}: \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{xy}+\mathrm{2}{x}−\mathrm{8}{y}−\mathrm{2}=\mathrm{0} \\ $$

Question Number 85293 Answers: 2 Comments: 1

lim_(x→0^+ ) (√(1/x))−(√((1/(2x))−2020)) ?

$$\underset{{x}\rightarrow\mathrm{0}^{+} \:} {\mathrm{lim}}\:\sqrt{\frac{\mathrm{1}}{\mathrm{x}}}−\sqrt{\frac{\mathrm{1}}{\mathrm{2x}}−\mathrm{2020}}\:? \\ $$

Question Number 85286 Answers: 0 Comments: 2

Question Number 85280 Answers: 1 Comments: 0

∫_( 0) ^1 cot^(−1) (1−x+x^2 ) dx =

$$\:\underset{\:\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\mathrm{cot}^{−\mathrm{1}} \left(\mathrm{1}−{x}+{x}^{\mathrm{2}} \right)\:{dx}\:= \\ $$

Question Number 85279 Answers: 3 Comments: 0

who can help write out the mechanism for the reaction C_6 H_6 →_(HNO_3 ) ^(H_2 SO_4 ) C_6 H_5 NO_2

$$\mathrm{who}\:\mathrm{can}\:\mathrm{help}\:\mathrm{write}\:\mathrm{out}\:\mathrm{the}\:\mathrm{mechanism}\:\mathrm{for}\:\mathrm{the}\: \\ $$$$\mathrm{reaction} \\ $$$$\:\:\:\mathrm{C}_{\mathrm{6}} \mathrm{H}_{\mathrm{6}} \:\underset{\mathrm{HNO}_{\mathrm{3}} } {\overset{\mathrm{H}_{\mathrm{2}} \mathrm{SO}_{\mathrm{4}} } {\rightarrow}}\:\:\mathrm{C}_{\mathrm{6}} \mathrm{H}_{\mathrm{5}} \mathrm{NO}_{\mathrm{2}} \\ $$

Question Number 85262 Answers: 1 Comments: 6

find the centre of symmetry of the curve y = (1/(x + 2))

$$\mathrm{find}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{of}\:\mathrm{symmetry}\:\mathrm{of}\:\mathrm{the}\:\mathrm{curve} \\ $$$$\:\:\:{y}\:=\:\frac{\mathrm{1}}{{x}\:+\:\mathrm{2}} \\ $$

Question Number 85261 Answers: 2 Comments: 1

Find the value of (1+(√(−3)))^(3/4) help please

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\left(\mathrm{1}+\sqrt{−\mathrm{3}}\right)^{\frac{\mathrm{3}}{\mathrm{4}}} \\ $$$$ \\ $$$$\mathrm{help}\:\mathrm{please} \\ $$

Pg 1232 Pg 1233 Pg 1234 Pg 1235 Pg 1236 Pg 1237 Pg 1238 Pg 1239 Pg 1240 Pg 1241

Contact: info@tinkutara.com