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Question Number 9954    Answers: 1   Comments: 0

A sound wave of velocity 350 m/s is directed towards the surface of water . If the ratio of the wave length of sound in water to that in air is 425:100, calculate the velocity of the wave in water.

$$\mathrm{A}\:\mathrm{sound}\:\mathrm{wave}\:\mathrm{of}\:\mathrm{velocity}\:\mathrm{350}\:\mathrm{m}/\mathrm{s}\:\mathrm{is}\:\mathrm{directed} \\ $$$$\mathrm{towards}\:\mathrm{the}\:\mathrm{surface}\:\mathrm{of}\:\mathrm{water}\:.\:\mathrm{If}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{wave}\:\mathrm{length}\:\mathrm{of}\:\mathrm{sound}\:\mathrm{in}\:\mathrm{water}\:\mathrm{to}\:\mathrm{that}\:\mathrm{in}\: \\ $$$$\mathrm{air}\:\mathrm{is}\:\mathrm{425}:\mathrm{100},\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{the}\: \\ $$$$\mathrm{wave}\:\mathrm{in}\:\mathrm{water}. \\ $$

Question Number 9953    Answers: 1   Comments: 0

x−y =8 xy=7 ⇒ x^2 −y^2 =?

$$\mathrm{x}−\mathrm{y}\:=\mathrm{8} \\ $$$$\mathrm{xy}=\mathrm{7}\:\:\Rightarrow\:\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} \:=? \\ $$

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 9947    Answers: 1   Comments: 2

Question Number 10129    Answers: 1   Comments: 0

Write in polar form . (1) 3x − y + 5 = 0 (2) x^2 = (√(x^2 + y^2 ))

$$\mathrm{Write}\:\mathrm{in}\:\mathrm{polar}\:\mathrm{form}\:. \\ $$$$\left(\mathrm{1}\right)\:\:\mathrm{3x}\:−\:\mathrm{y}\:\:+\:\mathrm{5}\:=\:\mathrm{0} \\ $$$$\left(\mathrm{2}\right)\:\:\mathrm{x}^{\mathrm{2}} \:=\:\sqrt{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} } \\ $$

Question Number 9941    Answers: 1   Comments: 0

Prove that. tan^(−1) [(p/(p + 2q))] + tan^(−1) [(q/(p + q))] = (π/4)

$$\mathrm{Prove}\:\mathrm{that}. \\ $$$$\mathrm{tan}^{−\mathrm{1}} \left[\frac{\mathrm{p}}{\mathrm{p}\:+\:\mathrm{2q}}\right]\:+\:\mathrm{tan}^{−\mathrm{1}} \left[\frac{\mathrm{q}}{\mathrm{p}\:+\:\mathrm{q}}\right]\:=\:\frac{\pi}{\mathrm{4}} \\ $$

Question Number 9936    Answers: 0   Comments: 0

Two parallel plate capacitor seperated by a di electric of thickness 5mm. They acquire a charge of 55 milli coloumb, when a voltage 180 volt is connected accross them. calculate electric field strength.

$$\mathrm{Two}\:\mathrm{parallel}\:\mathrm{plate}\:\mathrm{capacitor}\:\mathrm{seperated}\:\mathrm{by}\:\mathrm{a} \\ $$$$\mathrm{di}\:\mathrm{electric}\:\mathrm{of}\:\mathrm{thickness}\:\mathrm{5mm}.\:\mathrm{They}\:\mathrm{acquire} \\ $$$$\mathrm{a}\:\mathrm{charge}\:\mathrm{of}\:\mathrm{55}\:\mathrm{milli}\:\mathrm{coloumb},\:\mathrm{when}\:\mathrm{a}\:\mathrm{voltage} \\ $$$$\mathrm{180}\:\mathrm{volt}\:\mathrm{is}\:\mathrm{connected}\:\mathrm{accross}\:\mathrm{them}.\: \\ $$$$\mathrm{calculate}\:\mathrm{electric}\:\mathrm{field}\:\mathrm{strength}. \\ $$

Question Number 9929    Answers: 1   Comments: 0

Question Number 9928    Answers: 0   Comments: 1

Question Number 9923    Answers: 1   Comments: 1

i=(√(−1)) z= (1−i)^(17) −(1+i)^(17) ⇒ z=?

$$\mathrm{i}=\sqrt{−\mathrm{1}} \\ $$$$\mathrm{z}=\:\left(\mathrm{1}−\mathrm{i}\right)^{\mathrm{17}} −\left(\mathrm{1}+\mathrm{i}\right)^{\mathrm{17}} \:\Rightarrow\:\mathrm{z}=?\: \\ $$

Question Number 9921    Answers: 1   Comments: 0

Question Number 9920    Answers: 1   Comments: 0

Question Number 9914    Answers: 1   Comments: 0

Question Number 9912    Answers: 1   Comments: 0

Question Number 9907    Answers: 1   Comments: 2

Question Number 9904    Answers: 0   Comments: 0

Let X denote the number of times heads occur in n tosses of a fair coin. If P (X=4), P (X=5) and P (X=6) are in AP ; the value of n is

$$\mathrm{Let}\:{X}\:\mathrm{denote}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{times}\:\mathrm{heads} \\ $$$$\mathrm{occur}\:\mathrm{in}\:{n}\:\mathrm{tosses}\:\mathrm{of}\:\mathrm{a}\:\mathrm{fair}\:\mathrm{coin}.\:\mathrm{If}\:{P}\:\left({X}=\mathrm{4}\right), \\ $$$${P}\:\left({X}=\mathrm{5}\right)\:\mathrm{and}\:{P}\:\left({X}=\mathrm{6}\right)\:\mathrm{are}\:\mathrm{in}\:{AP}\:;\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\:{n}\:\mathrm{is} \\ $$

Question Number 9902    Answers: 1   Comments: 0

x+3y=6, 2x−3y=12

$${x}+\mathrm{3}{y}=\mathrm{6}, \\ $$$$\mathrm{2}{x}−\mathrm{3}{y}=\mathrm{12} \\ $$

Question Number 9908    Answers: 1   Comments: 1

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)))}

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

Question Number 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)))}

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

Question Number 9890    Answers: 1   Comments: 0

(1−(1/(16)))(1−(1/(25)))(1−(1/(36)))...(1−(1/(3600)))=?

$$\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{16}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{25}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{36}}\right)...\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3600}}\right)=? \\ $$

Question Number 9884    Answers: 2   Comments: 0

(x^2 −2x+3)^2 + (3x^2 −6x−9) = 0 What is the value of x ?

$$\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{3}\right)^{\mathrm{2}} \:+\:\left(\mathrm{3}{x}^{\mathrm{2}} −\mathrm{6}{x}−\mathrm{9}\right)\:=\:\mathrm{0} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}\:? \\ $$

Question Number 9883    Answers: 0   Comments: 0

(x^2 −2x+3)^2 + 7(x^2 −6x) + 19 = 0 What is the value of x ?

$$\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{3}\right)^{\mathrm{2}} \:+\:\mathrm{7}\left({x}^{\mathrm{2}} −\mathrm{6}{x}\right)\:+\:\mathrm{19}\:=\:\mathrm{0} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}\:? \\ $$

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