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Question Number 10114 Answers: 1 Comments: 0

how can demontred tan 3x=_( ) ((3tanx−tan^3 x)/(1_ −3tan^2 x)) pleace help me

$${how}\:{can}\:{demontred} \\ $$$$\mathrm{tan}\:\mathrm{3}{x}\underset{\:\:\:\:\:\:\:\:\:} {=}\frac{\mathrm{3}{tanx}−{tan}^{\mathrm{3}} {x}}{\underset{} {\mathrm{1}}−\mathrm{3}{tan}^{\mathrm{2}} {x}} \\ $$$${pleace}\:{help}\:{me} \\ $$

Question Number 10041 Answers: 1 Comments: 0

Question Number 10005 Answers: 1 Comments: 0

(x^(1/(16)) +1)(x^(1/8) +1)(x^(1/4) +1)(x^(1/2) +1)=?

$$\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{16}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{8}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{4}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{2}}} +\mathrm{1}\right)=? \\ $$

Question Number 9988 Answers: 2 Comments: 0

a,b∈Z^+ a^3 −b^3 =19 ⇒ a.b=?

$$\mathrm{a},\mathrm{b}\in\mathrm{Z}^{+} \\ $$$$\mathrm{a}^{\mathrm{3}} −\mathrm{b}^{\mathrm{3}} =\mathrm{19}\:\:\:\Rightarrow\:\mathrm{a}.\mathrm{b}=? \\ $$

Question Number 9952 Answers: 0 Comments: 0

∫e^(xy^(2 ) ) dy _ help solve

$$\int{e}^{{xy}^{\mathrm{2}\:} } {dy}\:\:\:\:\:\:\:_{} {help}\:{solve} \\ $$

Question Number 9951 Answers: 1 Comments: 0

∫(√(tan x))dx

$$\int\sqrt{{tan}\:{x}}{dx} \\ $$

Question Number 9907 Answers: 1 Comments: 2

Question Number 9896 Answers: 0 Comments: 0

l^(−1) {((5s^2 −21s+30)/((s−3)(s^2 +4)))} pls help solve this

$${l}^{−\mathrm{1}} \left\{\frac{\mathrm{5}{s}^{\mathrm{2}} −\mathrm{21}{s}+\mathrm{30}}{\left({s}−\mathrm{3}\right)\left({s}^{\mathrm{2}} +\mathrm{4}\right)}\right\}\:\:\:{pls}\:{help}\:{solve}\:{this} \\ $$

Question Number 9895 Answers: 0 Comments: 0

pls help me solve dis questiom it is laplace l^(−1) {((4s^2 −17s−24)/(5(s+3)(s−4)))}

$${pls}\:{help}\:{me}\:{solve}\:{dis}\:{questiom}\:{it}\:{is}\: \\ $$$${laplace} \\ $$$$ \\ $$$${l}^{−\mathrm{1}} \left\{\frac{\mathrm{4}{s}^{\mathrm{2}} −\mathrm{17}{s}−\mathrm{24}}{\mathrm{5}\left({s}+\mathrm{3}\right)\left({s}−\mathrm{4}\right)}\right\} \\ $$

Question Number 9894 Answers: 0 Comments: 0

pls help me solve dis questiom it is laplace l^(−1) {((4s^2 −17s−24)/(5(s+3)(s−4)))}

Question Number 9893 Answers: 0 Comments: 0

pls help me solve dis questiom it is laplace l^(−1) {((4s^2 −17s−24)/(5(s+3)(s−4)))}

Question Number 9880 Answers: 2 Comments: 0

Question Number 9813 Answers: 1 Comments: 0

From the top of a tower 80m high, a student observe that the angle of depression of the top of a vertical pole A is 45° and the angle of depression of point B on the pole is 60°. if O is the foot of the pole and OB = 20m. Find the distance between A and B. leaving your answer in surd form.

Question Number 9746 Answers: 0 Comments: 0

Find (x,y)∈F_7 ^2 such that x^2 −3y^2 ≡ 0 mod 7.

$$\mathrm{Find}\:\left(\mathrm{x},\mathrm{y}\right)\in\mathbb{F}_{\mathrm{7}} ^{\mathrm{2}} \:\mathrm{such}\:\mathrm{that}\:\mathrm{x}^{\mathrm{2}} −\mathrm{3y}^{\mathrm{2}} \equiv\:\mathrm{0}\:\mathrm{mod}\:\mathrm{7}. \\ $$

Question Number 9717 Answers: 0 Comments: 0

((0.ba^− +0.ab^− )/(1/(ab−ba)))=3 ⇒ a^(2 ) − b^(2 ) =?

$$\frac{\mathrm{0}.\mathrm{b}\overset{−} {\mathrm{a}}+\mathrm{0}.\mathrm{a}\overset{−} {\mathrm{b}}}{\frac{\mathrm{1}}{\mathrm{ab}−\mathrm{ba}}}=\mathrm{3}\:\Rightarrow\:\mathrm{a}^{\mathrm{2}\:} −\:\mathrm{b}^{\mathrm{2}\:} =? \\ $$

Question Number 9662 Answers: 1 Comments: 0

I have 2 buckets. Each bucket contains green and blue balls The first bucket contains 3 green balls and 7 blue balls. Second bucket contains 7 green balls and 8 blue balls. I want to take those balls with coin toss. If head, I will take 1 ball from each bucket. But if tail, I will take 2 balls from each bucket. What is the propability if all the balls that have been taken have the same color? (sorry for my grammar)

$$\mathrm{I}\:\mathrm{have}\:\mathrm{2}\:\mathrm{buckets}.\:\mathrm{Each}\:\mathrm{bucket}\:\mathrm{contains}\:\mathrm{green}\:\mathrm{and}\:\mathrm{blue}\:\mathrm{balls} \\ $$$$\mathrm{The}\:\mathrm{first}\:\mathrm{bucket}\:\mathrm{contains}\:\mathrm{3}\:\mathrm{green}\:\mathrm{balls}\:\mathrm{and}\:\mathrm{7}\:\mathrm{blue}\:\mathrm{balls}. \\ $$$$\mathrm{Second}\:\mathrm{bucket}\:\mathrm{contains}\:\mathrm{7}\:\mathrm{green}\:\mathrm{balls}\:\mathrm{and}\:\mathrm{8}\:\mathrm{blue}\:\mathrm{balls}. \\ $$$$\mathrm{I}\:\mathrm{want}\:\mathrm{to}\:\mathrm{take}\:\mathrm{those}\:\mathrm{balls}\:\mathrm{with}\:\mathrm{coin}\:\mathrm{toss}. \\ $$$$\mathrm{If}\:\mathrm{head},\:\mathrm{I}\:\mathrm{will}\:\mathrm{take}\:\mathrm{1}\:\mathrm{ball}\:\mathrm{from}\:\mathrm{each}\:\mathrm{bucket}. \\ $$$$\mathrm{But}\:\mathrm{if}\:\mathrm{tail},\:\mathrm{I}\:\mathrm{will}\:\mathrm{take}\:\mathrm{2}\:\mathrm{balls}\:\mathrm{from}\:\mathrm{each}\:\mathrm{bucket}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{propability}\:\mathrm{if}\:\mathrm{all}\:\mathrm{the}\:\mathrm{balls}\:\mathrm{that}\:\mathrm{have}\:\mathrm{been}\:\mathrm{taken} \\ $$$$\mathrm{have}\:\mathrm{the}\:\mathrm{same}\:\mathrm{color}? \\ $$$$\left({sorry}\:{for}\:{my}\:{grammar}\right) \\ $$

Question Number 9661 Answers: 0 Comments: 3

a) 2^i = b) (a_1 + b_1 i)^(a_2 + b_2 i) = Powers of complex numbers ???

$$\left.{a}\right)\:\mathrm{2}^{{i}} \:=\: \\ $$$$ \\ $$$$\left.{b}\right)\:\left({a}_{\mathrm{1}} \:+\:{b}_{\mathrm{1}} {i}\right)^{{a}_{\mathrm{2}} \:+\:{b}_{\mathrm{2}} {i}} \:=\: \\ $$$${Powers}\:{of}\:{complex}\:{numbers}\:??? \\ $$

Question Number 9627 Answers: 1 Comments: 2

Question Number 9603 Answers: 2 Comments: 0

A regular hexagon has sides of lenght 8 cm. Find the perpendicular distance between two opposite faces.

$$\mathrm{A}\:\mathrm{regular}\:\mathrm{hexagon}\:\mathrm{has}\:\mathrm{sides}\:\mathrm{of}\:\mathrm{lenght}\:\mathrm{8}\:\mathrm{cm}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{perpendicular}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{two} \\ $$$$\mathrm{opposite}\:\mathrm{faces}. \\ $$

Question Number 9523 Answers: 1 Comments: 0

3a = (b + c + d)^(2014) 3b = (a + c + d)^(2014) 3c = (a + b + d)^(2014) 3d = (a + b + c)^(2014) Find all the solution of (a, b, c, d) if a, b, c, d ∈ R

$$\mathrm{3}{a}\:=\:\left({b}\:+\:{c}\:+\:{d}\right)^{\mathrm{2014}} \\ $$$$\mathrm{3}{b}\:=\:\left({a}\:+\:{c}\:+\:{d}\right)^{\mathrm{2014}} \\ $$$$\mathrm{3}{c}\:=\:\left({a}\:+\:{b}\:+\:{d}\right)^{\mathrm{2014}} \\ $$$$\mathrm{3}{d}\:=\:\left({a}\:+\:{b}\:+\:{c}\right)^{\mathrm{2014}} \\ $$$$\mathrm{Find}\:\mathrm{all}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{of}\:\left({a},\:{b},\:{c},\:{d}\right)\:\mathrm{if}\:{a},\:{b},\:{c},\:{d}\:\in\:\mathbb{R} \\ $$

Question Number 9453 Answers: 1 Comments: 0

find dc′s dr′s of a mormal to the plane 2x+(5/2)y+(7/8)z=23

$$\mathrm{find}\:\mathrm{dc}'\mathrm{s}\:\mathrm{dr}'\mathrm{s}\:\mathrm{of}\:\mathrm{a}\:\mathrm{mormal}\:\mathrm{to}\:\mathrm{the}\: \\ $$$$\mathrm{plane}\:\mathrm{2x}+\frac{\mathrm{5}}{\mathrm{2}}\mathrm{y}+\frac{\mathrm{7}}{\mathrm{8}}\mathrm{z}=\mathrm{23} \\ $$

Question Number 9438 Answers: 1 Comments: 0

Solve for x, y and z 2xy = x + y ...... (i) 6xz = 6z − 2x ....... (ii) 3yz = 3y + 4z ......... (iii) That is the correct question sir.

$$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x},\:\mathrm{y}\:\mathrm{and}\:\mathrm{z} \\ $$$$\mathrm{2xy}\:=\:\mathrm{x}\:+\:\mathrm{y}\:\:\:\:\:\:......\:\left(\mathrm{i}\right) \\ $$$$\mathrm{6xz}\:=\:\mathrm{6z}\:−\:\mathrm{2x}\:\:\:\:.......\:\left(\mathrm{ii}\right) \\ $$$$\mathrm{3yz}\:=\:\mathrm{3y}\:+\:\mathrm{4z}\:\:\:\:.........\:\left(\mathrm{iii}\right) \\ $$$$ \\ $$$$\mathrm{That}\:\mathrm{is}\:\mathrm{the}\:\mathrm{correct}\:\mathrm{question}\:\mathrm{sir}. \\ $$

Question Number 9436 Answers: 2 Comments: 0

If they said that Σ_(k=1) ^∞ k diverges, why 1 + 2 + 3 + 4 + ... = − (1/(12)) ?

$$\mathrm{If}\:\mathrm{they}\:\mathrm{said}\:\mathrm{that}\:\underset{{k}=\mathrm{1}} {\overset{\infty} {\sum}}\:{k}\:\mathrm{diverges},\:\mathrm{why} \\ $$$$\mathrm{1}\:+\:\mathrm{2}\:+\:\mathrm{3}\:+\:\mathrm{4}\:+\:...\:=\:−\:\frac{\mathrm{1}}{\mathrm{12}}\:? \\ $$

Question Number 9348 Answers: 0 Comments: 0

pH = pK_a + lg(C_b /C_a )