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AllQuestion and Answers: Page 179

Question Number 204279 Answers: 0 Comments: 1

Question Number 204278 Answers: 1 Comments: 3

cos x+cos 3x+cos 5x=(√2)+1 sin x+sin3x+ sin 5x=1 tan 3x=?

$$\mathrm{cos}\:{x}+\mathrm{cos}\:\mathrm{3}{x}+\mathrm{cos}\:\mathrm{5}{x}=\sqrt{\mathrm{2}}+\mathrm{1} \\ $$$$\mathrm{sin}\:{x}+\mathrm{sin3}{x}+\:\mathrm{sin}\:\mathrm{5}{x}=\mathrm{1} \\ $$$$\mathrm{tan}\:\mathrm{3}{x}=? \\ $$

Question Number 204276 Answers: 0 Comments: 0

Question Number 204275 Answers: 1 Comments: 0

Show that ∫_0 ^(π/4) (√(tan x)) (√(1−tan x)) dx=(((√((√2)−1))/( (√2)))−1)π

$$\mathrm{Show}\:\mathrm{that} \\ $$$$\underset{\mathrm{0}} {\overset{\frac{\pi}{\mathrm{4}}} {\int}}\sqrt{\mathrm{tan}\:{x}}\:\sqrt{\mathrm{1}−\mathrm{tan}\:{x}}\:{dx}=\left(\frac{\sqrt{\sqrt{\mathrm{2}}−\mathrm{1}}}{\:\sqrt{\mathrm{2}}}−\mathrm{1}\right)\pi \\ $$

Question Number 204273 Answers: 1 Comments: 0

f(x)=(1/((x−1)^(ln((2/4))) )) Domain f(x) =?

$$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{ln}\left(\frac{\mathrm{2}}{\mathrm{4}}\right)} } \\ $$$$\mathrm{Domain}\:\mathrm{f}\left(\mathrm{x}\right)\:=? \\ $$

Question Number 204262 Answers: 1 Comments: 0

Question Number 204264 Answers: 1 Comments: 0

∫_ ln(1−x^2 )dx

$$\underset{} {\int}{ln}\left(\mathrm{1}−{x}^{\mathrm{2}} \right){dx} \\ $$

Question Number 204250 Answers: 3 Comments: 0

Question Number 204249 Answers: 2 Comments: 1

Question Number 204310 Answers: 1 Comments: 0

Question Number 204244 Answers: 2 Comments: 0

Question Number 204236 Answers: 1 Comments: 1

Helpful questionfor Olympiads, Find Sol^n .

$$\boldsymbol{{Helpful}}\:\boldsymbol{{questionfor}}\:\boldsymbol{{Olympiads}},\:\boldsymbol{{Find}}\:\boldsymbol{{Sol}}^{\boldsymbol{{n}}} . \\ $$

Question Number 204233 Answers: 2 Comments: 0

Question Number 204230 Answers: 1 Comments: 10

what does mean that we say C^° =F^° in −40?

$${what}\:{does}\:{mean}\:{that}\:{we}\:{say}\:{C}^{°} ={F}^{°} \\ $$$${in}\:−\mathrm{40}? \\ $$

Question Number 204270 Answers: 2 Comments: 0

Question Number 204218 Answers: 2 Comments: 0

Question Number 204211 Answers: 2 Comments: 0

Question Number 204205 Answers: 4 Comments: 0

Question Number 204227 Answers: 3 Comments: 0

Question Number 204197 Answers: 2 Comments: 0

Question Number 204187 Answers: 2 Comments: 0

If p , q , r >0 , pqr= 1 ⇒ min((( p^3 )/(q+r)) + (q^( 3) /(p+r)) +(r^3 /(p+q)) )=? ∗ give a reason ∗

$$ \\ $$$$\:\:\:\:\:\:{If}\:\:\:{p}\:,\:{q}\:,\:{r}\:>\mathrm{0}\:,\:\:{pqr}=\:\mathrm{1} \\ $$$$\:\:\:\:\: \\ $$$$\:\Rightarrow\:\:{min}\left(\frac{\:{p}^{\mathrm{3}} }{{q}+{r}}\:+\:\frac{{q}^{\:\mathrm{3}} }{{p}+{r}}\:+\frac{{r}^{\mathrm{3}} }{{p}+{q}}\:\right)=? \\ $$$$\:\:\:\ast\:{give}\:{a}\:{reason}\:\ast \\ $$

Question Number 204180 Answers: 1 Comments: 0

Solve this. ((x+y−a)/(x+y−b)) ∙ (dy/dx) = ((x+y+a)/(x+y+b))

$$\mathrm{Solve}\:\:\mathrm{this}. \\ $$$$ \\ $$$$\frac{{x}+{y}−{a}}{{x}+{y}−{b}}\:\centerdot\:\frac{{dy}}{{dx}}\:=\:\frac{{x}+{y}+{a}}{{x}+{y}+{b}} \\ $$

Question Number 204179 Answers: 2 Comments: 0

Question Number 204171 Answers: 1 Comments: 1

Question Number 204168 Answers: 1 Comments: 1

Question Number 204158 Answers: 2 Comments: 2

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