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Question Number 15721 Answers: 1 Comments: 0

If x+y+z=1 with 0<x, y, z <(1/2) then find tbe range of values of (1/(x+y))+(1/(y+z))+(1/(z+x)) .

$${If}\:\:\:\:\boldsymbol{{x}}+\boldsymbol{{y}}+\boldsymbol{{z}}=\mathrm{1} \\ $$$$\:\:\:\:\:{with}\:\mathrm{0}<{x},\:{y},\:{z}\:<\frac{\mathrm{1}}{\mathrm{2}} \\ $$$$\:{then}\:{find}\:{tbe}\:\:{range}\:{of}\:{values}\:{of} \\ $$$$\:\:\:\frac{\mathrm{1}}{\boldsymbol{{x}}+\boldsymbol{{y}}}+\frac{\mathrm{1}}{\boldsymbol{{y}}+\boldsymbol{{z}}}+\frac{\mathrm{1}}{\boldsymbol{{z}}+\boldsymbol{{x}}}\:. \\ $$

Question Number 15734 Answers: 0 Comments: 3

An elastic cord can be stretched to its elastic limit by a load of 2N.If a 35cm lemgth of the cord is extended 0.6cm by a force of 0.5N, what will be the length of the cord when the stretching force is 2.5N? (a)350.8cm (b)352.8cm (c)353.0cm (d)356cm (e)cannot be determined from the data given

$$\mathrm{An}\:\mathrm{elastic}\:\mathrm{cord}\:\mathrm{can}\:\mathrm{be}\:\mathrm{stretched}\:\mathrm{to} \\ $$$$\mathrm{its}\:\mathrm{elastic}\:\mathrm{limit}\:\mathrm{by}\:\mathrm{a}\:\mathrm{load}\:\mathrm{of}\:\mathrm{2N}.\mathrm{If}\: \\ $$$$\mathrm{a}\:\mathrm{35cm}\:\mathrm{lemgth}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cord}\:\mathrm{is} \\ $$$$\mathrm{extended}\:\mathrm{0}.\mathrm{6cm}\:\mathrm{by}\:\mathrm{a}\:\mathrm{force}\:\mathrm{of}\:\mathrm{0}.\mathrm{5N}, \\ $$$$\mathrm{what}\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{cord} \\ $$$$\mathrm{when}\:\mathrm{the}\:\mathrm{stretching}\:\mathrm{force}\:\mathrm{is}\:\mathrm{2}.\mathrm{5N}? \\ $$$$\left(\mathrm{a}\right)\mathrm{350}.\mathrm{8cm} \\ $$$$\left(\mathrm{b}\right)\mathrm{352}.\mathrm{8cm} \\ $$$$\left(\mathrm{c}\right)\mathrm{353}.\mathrm{0cm} \\ $$$$\left(\mathrm{d}\right)\mathrm{356cm} \\ $$$$\left(\mathrm{e}\right)\mathrm{cannot}\:\mathrm{be}\:\mathrm{determined}\:\mathrm{from}\:\mathrm{the}\: \\ $$$$\mathrm{data}\:\mathrm{given} \\ $$

Question Number 15737 Answers: 0 Comments: 2

Sir mrW1 and Ajfour, please which advance or physics textbook pdf can i get

$$\mathrm{Sir}\:\:\:\mathrm{mrW1}\:\mathrm{and}\:\mathrm{Ajfour},\:\mathrm{please}\:\mathrm{which}\:\mathrm{advance}\:\mathrm{or}\:\mathrm{physics}\:\mathrm{textbook}\:\mathrm{pdf}\:\mathrm{can}\:\mathrm{i}\:\mathrm{get} \\ $$

Question Number 15707 Answers: 1 Comments: 0

x^3 + (y + 1)^2 . (dy/dx) = 0 Find y

$${x}^{\mathrm{3}} \:+\:\left({y}\:+\:\mathrm{1}\right)^{\mathrm{2}} \:.\:\frac{{dy}}{{dx}}\:=\:\mathrm{0} \\ $$$$\mathrm{Find}\:{y} \\ $$

Question Number 15706 Answers: 0 Comments: 2

(d^2 y/dx^2 ) + (dy/dx) − 6y = 2 + sin x Find y

$$\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }\:+\:\frac{{dy}}{{dx}}\:−\:\mathrm{6}{y}\:=\:\mathrm{2}\:+\:\mathrm{sin}\:{x} \\ $$$$\mathrm{Find}\:{y} \\ $$

Question Number 15700 Answers: 1 Comments: 1

Question Number 15699 Answers: 1 Comments: 0

3+5x=58

$$\mathrm{3}+\mathrm{5x}=\mathrm{58} \\ $$

Question Number 15680 Answers: 1 Comments: 0

How many values are there for W(x) where x < ((−1)/e) ? mrW1 Sir please answer.

$$\mathrm{How}\:\mathrm{many}\:\mathrm{values}\:\mathrm{are}\:\mathrm{there}\:\mathrm{for}\:{W}\left({x}\right) \\ $$$$\mathrm{where}\:{x}\:<\:\frac{−\mathrm{1}}{{e}}\:?\:\mathrm{mrW1}\:\mathrm{Sir}\:\mathrm{please} \\ $$$$\mathrm{answer}. \\ $$

Question Number 15672 Answers: 1 Comments: 0

solve the equation: {5^x } +5x=140 please show workings.....

$$\:{solve}\:{the}\:{equation}: \\ $$$$\:\:\left\{\mathrm{5}^{{x}} \right\}\:+\mathrm{5}{x}=\mathrm{140} \\ $$$${please}\:{show}\:{workings}..... \\ $$

Question Number 15671 Answers: 1 Comments: 0

Prove by mathematcal induction that 1 + (1/(1 + 2)) + (1/(1 + 2 + 3)) + ... + (1/(1 + 2 + 3 + ... n)) = ((2n)/(n + 1))

$$\mathrm{Prove}\:\mathrm{by}\:\mathrm{mathematcal}\:\mathrm{induction}\:\mathrm{that} \\ $$$$\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{2}}\:+\:\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{2}\:+\:\mathrm{3}}\:+\:...\:+\:\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{2}\:+\:\mathrm{3}\:+\:...\:\mathrm{n}}\:=\:\frac{\mathrm{2n}}{\mathrm{n}\:+\:\mathrm{1}} \\ $$

Question Number 15661 Answers: 0 Comments: 6

∫ ((sin x)/x)dx

$$\int\:\frac{\mathrm{sin}\:\mathrm{x}}{\mathrm{x}}\mathrm{dx} \\ $$

Question Number 15656 Answers: 1 Comments: 0

Solve : 0 ≤ x^2 − 5x + 7 < 1

$$\mathrm{Solve}\::\:\mathrm{0}\:\leqslant\:{x}^{\mathrm{2}} \:−\:\mathrm{5}{x}\:+\:\mathrm{7}\:<\:\mathrm{1} \\ $$

Question Number 15642 Answers: 1 Comments: 0

Question Number 15641 Answers: 1 Comments: 0

Show that. (√3)(cosec20) − sec20 = 4

$$\mathrm{Show}\:\mathrm{that}. \\ $$$$\sqrt{\mathrm{3}}\left(\mathrm{cosec20}\right)\:−\:\mathrm{sec20}\:=\:\mathrm{4} \\ $$

Question Number 15667 Answers: 1 Comments: 2

Question Number 15610 Answers: 0 Comments: 3

The temperature of some 100 litres is 80°C. 10 litres water,whose temperature is 100°C is mixed in it.What will be the temperature of mixed water?

$$\mathrm{The}\:\mathrm{temperature}\:\mathrm{of}\:\mathrm{some}\:\mathrm{100}\:\mathrm{litres} \\ $$$$\mathrm{is}\:\mathrm{80}°\mathrm{C}.\:\:\mathrm{10}\:\mathrm{litres}\:\mathrm{water},\mathrm{whose}\:\mathrm{temperature} \\ $$$$\mathrm{is}\:\mathrm{100}°\mathrm{C}\:\mathrm{is}\:\mathrm{mixed}\:\mathrm{in}\:\mathrm{it}.\mathrm{What}\:\mathrm{will}\:\mathrm{be}\:\mathrm{the} \\ $$$$\mathrm{temperature}\:\mathrm{of}\:\mathrm{mixed}\:\mathrm{water}? \\ $$

Question Number 15601 Answers: 0 Comments: 0

order of a circle whose centre is origin and radius is r .

$$\mathrm{order}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{whose}\:\mathrm{centre}\:\mathrm{is}\: \\ $$$$\mathrm{origin}\:\mathrm{and}\:\mathrm{radius}\:\mathrm{is}\:\mathrm{r}\:. \\ $$

Question Number 15599 Answers: 1 Comments: 0

Two paper screens A and B are separated by 100 m distance. A bullet pierces A and then B. The hole in B is 10 cm below the hole in A. If the bullet is travelling horizontally at A, calculate the velocity of the bullet at A. (Neglecting the types of frictional forces)

$$\mathrm{Two}\:\mathrm{paper}\:\mathrm{screens}\:{A}\:\mathrm{and}\:{B}\:\mathrm{are} \\ $$$$\mathrm{separated}\:\mathrm{by}\:\mathrm{100}\:\mathrm{m}\:\mathrm{distance}.\:\mathrm{A}\:\mathrm{bullet} \\ $$$$\mathrm{pierces}\:{A}\:\mathrm{and}\:\mathrm{then}\:{B}.\:\mathrm{The}\:\mathrm{hole}\:\mathrm{in}\:{B}\:\mathrm{is} \\ $$$$\mathrm{10}\:\mathrm{cm}\:\mathrm{below}\:\mathrm{the}\:\mathrm{hole}\:\mathrm{in}\:{A}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{bullet} \\ $$$$\mathrm{is}\:\mathrm{travelling}\:\mathrm{horizontally}\:\mathrm{at}\:{A},\:\mathrm{calculate} \\ $$$$\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{the}\:\mathrm{bullet}\:\mathrm{at}\:{A}. \\ $$$$\left(\mathrm{Neglecting}\:\mathrm{the}\:\mathrm{types}\:\mathrm{of}\:\mathrm{frictional}\right. \\ $$$$\left.\mathrm{forces}\right) \\ $$

Question Number 15591 Answers: 1 Comments: 0

A projectile projected from the ground has its direction of motion making an angle (π/4) with the horizontal at a height 40 m. Its initial velocity of projection is 50 m/s, the angle of projection is?

$$\mathrm{A}\:\mathrm{projectile}\:\mathrm{projected}\:\mathrm{from}\:\mathrm{the}\:\mathrm{ground} \\ $$$$\mathrm{has}\:\mathrm{its}\:\mathrm{direction}\:\mathrm{of}\:\mathrm{motion}\:\mathrm{making}\:\mathrm{an} \\ $$$$\mathrm{angle}\:\frac{\pi}{\mathrm{4}}\:\mathrm{with}\:\mathrm{the}\:\mathrm{horizontal}\:\mathrm{at}\:\mathrm{a}\:\mathrm{height} \\ $$$$\mathrm{40}\:\mathrm{m}.\:\mathrm{Its}\:\mathrm{initial}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{projection}\:\mathrm{is} \\ $$$$\mathrm{50}\:\mathrm{m}/\mathrm{s},\:\mathrm{the}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{projection}\:\mathrm{is}? \\ $$

Question Number 15578 Answers: 0 Comments: 0

What is the value of cot^2 ((π/(14))) + cot^2 (((3π)/(14))) + cot^2 (((5π)/(14))) ?

$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of} \\ $$$$\mathrm{cot}^{\mathrm{2}} \:\left(\frac{\pi}{\mathrm{14}}\right)\:+\:\mathrm{cot}^{\mathrm{2}} \:\left(\frac{\mathrm{3}\pi}{\mathrm{14}}\right)\:+\:\mathrm{cot}^{\mathrm{2}} \:\left(\frac{\mathrm{5}\pi}{\mathrm{14}}\right)\:? \\ $$

Question Number 15572 Answers: 2 Comments: 1