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AllQuestion and Answers: Page 369

Question Number 184497 Answers: 1 Comments: 0

Question Number 184492 Answers: 1 Comments: 2

Question Number 184490 Answers: 2 Comments: 1

Question Number 184487 Answers: 0 Comments: 1

Question Number 184481 Answers: 2 Comments: 0

Question Number 184478 Answers: 1 Comments: 0

Question Number 184477 Answers: 3 Comments: 2

Question Number 184475 Answers: 1 Comments: 0

If A = 20° and B = 25° Find (1 + tanA)(1 + tanB)

$$\mathrm{If}\:\:\:\mathrm{A}\:=\:\mathrm{20}°\:\:\:\mathrm{and}\:\:\:\mathrm{B}\:=\:\mathrm{25}° \\ $$$$\mathrm{Find}\:\:\:\left(\mathrm{1}\:+\:\mathrm{tanA}\right)\left(\mathrm{1}\:+\:\mathrm{tanB}\right) \\ $$

Question Number 184473 Answers: 1 Comments: 0

Choose 4 random points in a sphere to form a tetrahedron inside the sphere. What is the probability that this tetrahedron contain the centre point of the sphere?

Question Number 184472 Answers: 4 Comments: 0

solve in R^3 { ((x+(1/y)=3)),((y+(1/z)=4)),((z+(1/x)=5)) :}

$${solve}\:{in}\:\mathbb{R}^{\mathrm{3}} \\ $$$$\begin{cases}{{x}+\frac{\mathrm{1}}{{y}}=\mathrm{3}}\\{{y}+\frac{\mathrm{1}}{{z}}=\mathrm{4}}\\{{z}+\frac{\mathrm{1}}{{x}}=\mathrm{5}}\end{cases} \\ $$

Question Number 184470 Answers: 1 Comments: 0

∫_0 ^1 ((lnx)/((1+x)^2 ))dx

$$\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{lnx}}{\left(\mathrm{1}+{x}\right)^{\mathrm{2}} }{dx} \\ $$

Question Number 184454 Answers: 0 Comments: 1

Question Number 184441 Answers: 2 Comments: 1

Question Number 184438 Answers: 3 Comments: 0

If a − (4/( (√a))) = 17 Find a − 4 (√a) = ?

$$\mathrm{If}\:\:\:\mathrm{a}\:−\:\frac{\mathrm{4}}{\:\sqrt{\mathrm{a}}}\:=\:\mathrm{17} \\ $$$$\mathrm{Find}\:\:\:\mathrm{a}\:−\:\mathrm{4}\:\sqrt{\mathrm{a}}\:=\:? \\ $$

Question Number 184435 Answers: 1 Comments: 0

Question Number 184434 Answers: 2 Comments: 0

(2a−b)b+(5/(3a))−7b^2 +3a=0 Evaluer b en fonction de a

$$\left(\mathrm{2}{a}−{b}\right){b}+\frac{\mathrm{5}}{\mathrm{3}{a}}−\mathrm{7}{b}^{\mathrm{2}} +\mathrm{3}{a}=\mathrm{0} \\ $$$${Evaluer}\:\:\boldsymbol{{b}}\:{en}\:{fonction}\:{de}\:\boldsymbol{{a}} \\ $$

Question Number 184431 Answers: 2 Comments: 0

If { ((a+(1/b)=(7/3))),((b+(1/c)=4)),((c+(1/a)=1)) :} find 2022∙abc

$${If}\:\:\:\begin{cases}{\mathrm{a}+\frac{\mathrm{1}}{\mathrm{b}}=\frac{\mathrm{7}}{\mathrm{3}}}\\{\mathrm{b}+\frac{\mathrm{1}}{\mathrm{c}}=\mathrm{4}}\\{\mathrm{c}+\frac{\mathrm{1}}{\mathrm{a}}=\mathrm{1}}\end{cases}\:\:\:\mathrm{find}\:\:\mathrm{2022}\centerdot\mathrm{abc} \\ $$

Question Number 184424 Answers: 2 Comments: 1

Help please: { ((x+x^(−1) −(√2)=0)),((x^(2017) +x^(2017) +(√2)=?)) :}

$${Help}\:{please}: \\ $$$$\begin{cases}{{x}+{x}^{−\mathrm{1}} −\sqrt{\mathrm{2}}=\mathrm{0}}\\{{x}^{\mathrm{2017}} +{x}^{\mathrm{2017}} +\sqrt{\mathrm{2}}=?}\end{cases} \\ $$

Question Number 184401 Answers: 2 Comments: 3

U_n = ((((−4)^(n+1) −1)/(1−(−4)^n )))U_(n−1) with U_0 =1 find U_(n ) in terms of n (question Q173132 reposted)

$${U}_{{n}} \:=\:\left(\frac{\left(−\mathrm{4}\right)^{{n}+\mathrm{1}} −\mathrm{1}}{\mathrm{1}−\left(−\mathrm{4}\right)^{{n}} }\right){U}_{{n}−\mathrm{1}} \:{with}\:{U}_{\mathrm{0}} =\mathrm{1} \\ $$$${find}\:{U}_{{n}\:} \:{in}\:{terms}\:{of}\:{n}\:\: \\ $$$$ \\ $$$$\left({question}\:{Q}\mathrm{173132}\:{reposted}\right) \\ $$

Question Number 184399 Answers: 0 Comments: 0

what is the nature of the integral: ∫_0 ^1 (e^(sint) /t^a )dt .αεR

$${what}\:{is}\:{the}\:{nature}\:{of}\:{the}\:{integral}: \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} \:\frac{{e}^{{sint}} }{{t}^{{a}} }{dt}\:.\alpha\epsilon{R} \\ $$

Question Number 184398 Answers: 1 Comments: 0

Question Number 184387 Answers: 2 Comments: 1

Question Number 184384 Answers: 0 Comments: 7

Question Number 184383 Answers: 0 Comments: 0

Question Number 184378 Answers: 3 Comments: 0

lim_(x→∞) (−ln((21)/(10)))^(2x) =?

$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(−\mathrm{ln}\frac{\mathrm{21}}{\mathrm{10}}\right)^{\mathrm{2x}} =? \\ $$

Question Number 184376 Answers: 1 Comments: 0

2^x =x^2 x=2 x=4 x=−0.76666 ??????????????????? solution please

$$\mathrm{2}^{\mathrm{x}} =\mathrm{x}^{\mathrm{2}} \\ $$$$\mathrm{x}=\mathrm{2} \\ $$$$\mathrm{x}=\mathrm{4} \\ $$$$\mathrm{x}=−\mathrm{0}.\mathrm{76666} \\ $$$$??????????????????? \\ $$$$\mathrm{solution}\:\mathrm{please} \\ $$

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