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Question Number 46338    Answers: 1   Comments: 2

Question Number 46326    Answers: 0   Comments: 1

Question Number 46323    Answers: 1   Comments: 1

(1a) ∫(dx/(e^(5x) +e^(3x) +e^(2x) ))=? (1b) ∫(dx/(e^(5x) −e^(3x) −e^(2x) ))=? (2a) ∫(dx/(x^(5/3) +x^(3/5) ))=? (2b) ∫(dx/(x^(5/3) −x^(3/5) ))=?

$$\left(\mathrm{1}{a}\right)\:\:\int\frac{{dx}}{\mathrm{e}^{\mathrm{5}{x}} +\mathrm{e}^{\mathrm{3}{x}} +\mathrm{e}^{\mathrm{2}{x}} }=? \\ $$$$\left(\mathrm{1}{b}\right)\:\:\int\frac{{dx}}{\mathrm{e}^{\mathrm{5}{x}} −\mathrm{e}^{\mathrm{3}{x}} −\mathrm{e}^{\mathrm{2}{x}} }=? \\ $$$$\left(\mathrm{2}{a}\right)\:\:\int\frac{{dx}}{{x}^{\frac{\mathrm{5}}{\mathrm{3}}} +{x}^{\frac{\mathrm{3}}{\mathrm{5}}} }=? \\ $$$$\left(\mathrm{2}{b}\right)\:\:\int\frac{{dx}}{{x}^{\frac{\mathrm{5}}{\mathrm{3}}} −{x}^{\frac{\mathrm{3}}{\mathrm{5}}} }=? \\ $$

Question Number 46308    Answers: 2   Comments: 1

Question Number 46305    Answers: 0   Comments: 0

Question Number 46299    Answers: 2   Comments: 0

Question Number 46293    Answers: 0   Comments: 1

Question Number 46283    Answers: 1   Comments: 0

Question Number 46277    Answers: 1   Comments: 2

Question Number 46297    Answers: 1   Comments: 0

Find the angle which is equal to one-eighth of its supplement.

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{which}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{one}-\mathrm{eighth} \\ $$$$\mathrm{of}\:\mathrm{its}\:\mathrm{supplement}. \\ $$

Question Number 46292    Answers: 1   Comments: 0

A +ve point charge of magnitude q is located on the y−axis at a point of y=+d and another −ve charge of same magnitude is located on the point y=−d. A third +ve charge of same magnitude is located at some point on x−axis. (1)− what is the magnitude and direction of the force on third charge ? (a)− when its located on the origin. (b)− when its coordinate is x. (2)− show that when x is large compared to distance d, the force in (b) is inversely proportionalto the cube of the distance from origin.

$${A}\:+{ve}\:{point}\:{charge}\:{of}\:{magnitude}\:{q}\:{is}\:{located}\:{on}\:{the}\:{y}−{axis}\: \\ $$$${at}\:{a}\:{point}\:{of}\:{y}=+{d}\:{and}\:{another}\:−{ve}\:\:{charge}\:{of}\:{same}\:{magnitude} \\ $$$${is}\:{located}\:{on}\:{the}\:{point}\:{y}=−{d}.\: \\ $$$${A}\:{third}\:+{ve}\:{charge}\:{of}\:{same}\:{magnitude}\:{is}\:{located}\: \\ $$$${at}\:{some}\:{point}\:{on}\:{x}−{axis}. \\ $$$$\:\:\:\left(\mathrm{1}\right)−\:{what}\:{is}\:{the}\:{magnitude}\:{and}\:{direction}\:{of}\:{the}\:{force}\:{on} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{third}\:{charge}\:? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({a}\right)−\:{when}\:{its}\:{located}\:{on}\:{the}\:{origin}. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({b}\right)−\:\:{when}\:{its}\:{coordinate}\:{is}\:{x}. \\ $$$$\:\:\:\:\left(\mathrm{2}\right)−\:{show}\:{that}\:{when}\:{x}\:{is}\:{large}\:{compared}\:{to}\:{distance}\:{d}, \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{the}\:{force}\:{in}\:\left({b}\right)\:{is}\:{inversely}\:{proportionalto}\:{the} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{cube}\:{of}\:{the}\:{distance}\:{from}\:{origin}. \\ $$

Question Number 46268    Answers: 2   Comments: 2

please help me! L=lim_(x→1) ((p/(1−x^p ))−(q/(1−x^q ))) , (p,q∈R)

$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}! \\ $$$$\mathrm{L}=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\left(\frac{\mathrm{p}}{\mathrm{1}−\mathrm{x}^{\mathrm{p}} }−\frac{\mathrm{q}}{\mathrm{1}−\mathrm{x}^{\mathrm{q}} }\right)\:,\:\left(\mathrm{p},\mathrm{q}\in\mathbb{R}\right) \\ $$

Question Number 46330    Answers: 1   Comments: 3

pls help me! L=lim_(x→1) (((x)^(1/(13)) −(x)^(1/7) )/((x)^(1/5) −(x)^(1/3) ))

$$\mathrm{pls}\:\mathrm{help}\:\mathrm{me}! \\ $$$$\mathrm{L}=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{\sqrt[{\mathrm{13}}]{\mathrm{x}}−\sqrt[{\mathrm{7}}]{\mathrm{x}}}{\sqrt[{\mathrm{5}}]{\mathrm{x}}−\sqrt[{\mathrm{3}}]{\mathrm{x}}} \\ $$

Question Number 46255    Answers: 0   Comments: 3

Question Number 46252    Answers: 2   Comments: 0

Question Number 46245    Answers: 1   Comments: 1

(1/(1.3.5))+(1/(3.5.7))+(1/(5.7.9))+.....nth term

$$\frac{\mathrm{1}}{\mathrm{1}.\mathrm{3}.\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{3}.\mathrm{5}.\mathrm{7}}+\frac{\mathrm{1}}{\mathrm{5}.\mathrm{7}.\mathrm{9}}+.....{nth}\:{term} \\ $$

Question Number 46238    Answers: 4   Comments: 5

Question Number 46225    Answers: 2   Comments: 0

Question Number 46221    Answers: 2   Comments: 0

Question Number 46208    Answers: 0   Comments: 1

Question Number 46194    Answers: 0   Comments: 1

Question Number 46191    Answers: 2   Comments: 0

There are three classes of form four which are 4a, 4b and 4c. in mathematics result the arithmetic mean of 4a 4b and 4c are 70, 60 and 80 and their standard deviation are 3, 3.4, and 2.5 Find the arithmetic mean and standard deviation when we combine the results of mathematics for all classes of form four. Assuming the number of students of 4a,4b and 4c are 30,45,25.

$$\mathrm{There}\:\mathrm{are}\:\mathrm{three}\:\mathrm{classes}\:\mathrm{of}\:\mathrm{form}\:\mathrm{four} \\ $$$$\mathrm{which}\:\mathrm{are}\:\mathrm{4a},\:\mathrm{4b}\:\mathrm{and}\:\mathrm{4c}. \\ $$$$\mathrm{in}\:\mathrm{mathematics}\:\mathrm{result}\:\mathrm{the}\:\mathrm{arithmetic}\:\mathrm{mean}\:\mathrm{of} \\ $$$$\mathrm{4a}\:\mathrm{4b}\:\mathrm{and}\:\mathrm{4c}\:\mathrm{are}\:\mathrm{70},\:\mathrm{60}\:\mathrm{and}\:\mathrm{80}\:\mathrm{and}\:\mathrm{their} \\ $$$$\mathrm{standard}\:\mathrm{deviation}\:\mathrm{are}\:\mathrm{3},\:\mathrm{3}.\mathrm{4},\:\mathrm{and}\:\mathrm{2}.\mathrm{5} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{arithmetic}\:\mathrm{mean}\:\mathrm{and}\:\mathrm{standard}\:\mathrm{deviation}\:\mathrm{when} \\ $$$$\mathrm{we}\:\mathrm{combine}\:\mathrm{the}\:\mathrm{results}\:\mathrm{of}\:\mathrm{mathematics}\:\mathrm{for}\: \\ $$$$\mathrm{all}\:\mathrm{classes}\:\mathrm{of}\:\mathrm{form}\:\mathrm{four}.\:\mathrm{Assuming}\:\mathrm{the} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{students}\:\mathrm{of}\: \\ $$$$\mathrm{4a},\mathrm{4b}\:\mathrm{and}\:\mathrm{4c}\:\mathrm{are}\:\mathrm{30},\mathrm{45},\mathrm{25}. \\ $$$$ \\ $$

Question Number 46188    Answers: 0   Comments: 5

Using dimensional analysis , find out value of n in given expression: ∫(dx/(√(2ax−x^2 ))) = a^n sin^(−1) ((x/a) −1).

$${Using}\:{dimensional}\:{analysis}\:, \\ $$$${find}\:{out}\:{value}\:{of}\:{n}\:{in}\:{given}\:{expression}: \\ $$$$\:\:\int\frac{{dx}}{\sqrt{\mathrm{2}{ax}−{x}^{\mathrm{2}} }}\:=\:{a}^{{n}} \mathrm{sin}^{−\mathrm{1}} \left(\frac{{x}}{{a}}\:−\mathrm{1}\right). \\ $$

Question Number 46187    Answers: 0   Comments: 1

Σ_(n=1) ^∞ (1/(n×n^(1/n) ))=? please help me!!!!

$$\underset{\boldsymbol{{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{n}×\mathrm{n}^{\frac{\mathrm{1}}{\mathrm{n}}} }=?\:\:\:\:\:\:\:\:\mathrm{please}\:\mathrm{help}\:\mathrm{me}!!!! \\ $$$$ \\ $$

Question Number 46186    Answers: 1   Comments: 1

please help me! S=1^2 q^1 +2^2 q^2 +3^2 q^3 +...+n^2 q^n =?

$$\mathrm{please}\:\mathrm{help}\:\mathrm{me}! \\ $$$$\mathrm{S}=\mathrm{1}^{\mathrm{2}} \mathrm{q}^{\mathrm{1}} +\mathrm{2}^{\mathrm{2}} \mathrm{q}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} \mathrm{q}^{\mathrm{3}} +...+\mathrm{n}^{\mathrm{2}} \mathrm{q}^{\mathrm{n}} =? \\ $$

Question Number 46182    Answers: 1   Comments: 4

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