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Question Number 46305 Answers: 0 Comments: 0

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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

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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

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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