Question and Answers Forum

All Questions Topic List

AllQuestion and Answers: Page 1599

Question Number 49640 Answers: 1 Comments: 2

if x ∈[p,(√(p^2 +2))] calculate [x]

$${if}\:{x}\:\in\left[{p},\sqrt{{p}^{\mathrm{2}} \:+\mathrm{2}}\right]\:\:{calculate}\:\left[{x}\right] \\ $$

Question Number 49639 Answers: 1 Comments: 1

find a relation betwen [x]^2 and [−x]^2

$${find}\:{a}\:{relation}\:{betwen}\:\left[{x}\right]^{\mathrm{2}} \:{and}\:\left[−{x}\right]^{\mathrm{2}} \\ $$

Question Number 49638 Answers: 1 Comments: 0

let a>2 and f(a) =∫_(−(1/a)) ^(1/a) ((x^2 dx)/((√(1+x^2 ))+(√(1−x^2 )))) 1) calculate f(a) interms of a 2) calculate f^′ (a) .

$${let}\:{a}>\mathrm{2}\:{and}\:{f}\left({a}\right)\:=\int_{−\frac{\mathrm{1}}{{a}}} ^{\frac{\mathrm{1}}{{a}}} \:\:\:\frac{{x}^{\mathrm{2}} {dx}}{\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }+\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{f}\left({a}\right)\:{interms}\:{of}\:{a} \\ $$$$\left.\mathrm{2}\right)\:{calculate}\:{f}^{'} \left({a}\right)\:. \\ $$

Question Number 49637 Answers: 1 Comments: 0

Question Number 49636 Answers: 1 Comments: 2

1) calculate A_n =∫_0 ^∞ e^(−n[x]) sin(x)dx with n integr and n≥1 2) find nature of Σ_(n=1) ^∞ A_n

$$\left.\mathrm{1}\right)\:{calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:{e}^{−{n}\left[{x}\right]} {sin}\left({x}\right){dx}\:{with}\:{n}\:{integr}\:{and}\:{n}\geqslant\mathrm{1} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{nature}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:{A}_{{n}} \\ $$

Question Number 49635 Answers: 1 Comments: 1

1)find f(x) =∫_0 ^(π/4) ((sint)/(2+x cos(2t)))dt 2) find g(x) =∫_0 ^(π/4) ((sint sin(2t)/((2+x cos(2t))^2 ))dx 3) find the value of ∫_0 ^(π/4) ((sint)/(2+3 cos(2t)))dt and ∫_0 ^(π/4) ((sin(t)sin(2t))/((2+3cos(2t))^2 ))dt

$$\left.\mathrm{1}\right){find}\:{f}\left({x}\right)\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{sint}}{\mathrm{2}+{x}\:{cos}\left(\mathrm{2}{t}\right)}{dt} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{g}\left({x}\right)\:=\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\:\frac{{sint}\:{sin}\left(\mathrm{2}{t}\right.}{\left(\mathrm{2}+{x}\:{cos}\left(\mathrm{2}{t}\right)\right)^{\mathrm{2}} }{dx} \\ $$$$\left.\mathrm{3}\right)\:{find}\:{the}\:{value}\:{of}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\:\:\frac{{sint}}{\mathrm{2}+\mathrm{3}\:{cos}\left(\mathrm{2}{t}\right)}{dt}\:\:{and}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{4}}} \:\frac{{sin}\left({t}\right){sin}\left(\mathrm{2}{t}\right)}{\left(\mathrm{2}+\mathrm{3}{cos}\left(\mathrm{2}{t}\right)\right)^{\mathrm{2}} }{dt} \\ $$

Question Number 49621 Answers: 0 Comments: 0

Question Number 49605 Answers: 1 Comments: 3

Question Number 49604 Answers: 2 Comments: 0

Show that: (((a + b)^2 )/2) ≤ a^2 + b^2

$$\mathrm{Show}\:\mathrm{that}:\:\:\:\:\:\:\:\:\:\:\:\frac{\left(\mathrm{a}\:+\:\mathrm{b}\right)^{\mathrm{2}} }{\mathrm{2}}\:\:\leqslant\:\:\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \\ $$

Question Number 49602 Answers: 0 Comments: 0

∅=0

$$\varnothing=\mathrm{0} \\ $$

Question Number 71170 Answers: 1 Comments: 1

Question Number 49594 Answers: 0 Comments: 1

How can we insert images in the editor?

$$\:\:\:\:{How}\:{can}\:{we}\:{insert}\:{images}\:{in}\:{the}\:{editor}? \\ $$

Question Number 49651 Answers: 0 Comments: 3

Question Number 49570 Answers: 1 Comments: 0

Eliminate t from this equation: (1) x = 1 + t, y = 1 + (1/t) (2) x = 3 + t^3 , y = 2 + (1/t)

$$\mathrm{Eliminate}\:\:\boldsymbol{\mathrm{t}}\:\:\mathrm{from}\:\mathrm{this}\:\mathrm{equation}:\:\:\left(\mathrm{1}\right)\:\:\:\mathrm{x}\:=\:\mathrm{1}\:+\:\mathrm{t},\:\:\:\mathrm{y}\:=\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{t}} \\ $$$$\left(\mathrm{2}\right)\:\:\mathrm{x}\:=\:\mathrm{3}\:+\:\mathrm{t}^{\mathrm{3}} \:,\:\:\:\:\:\mathrm{y}\:=\:\mathrm{2}\:+\:\frac{\mathrm{1}}{\mathrm{t}} \\ $$

Question Number 51422 Answers: 2 Comments: 1

Question Number 49559 Answers: 2 Comments: 1

Question Number 49555 Answers: 0 Comments: 0

Find 4 plz help me sir

$$\mathrm{Find}\:\mathrm{4}\:\: \\ $$$$\mathrm{plz}\:\mathrm{help}\:\mathrm{me}\:\mathrm{sir} \\ $$

Question Number 49554 Answers: 0 Comments: 0

Question Number 49553 Answers: 0 Comments: 1

Question Number 49536 Answers: 3 Comments: 2

Question Number 49534 Answers: 1 Comments: 3

Question Number 49530 Answers: 3 Comments: 3

Question Number 49526 Answers: 1 Comments: 1

Question Number 49583 Answers: 0 Comments: 4

Question Number 49491 Answers: 1 Comments: 0

A rocket of mass 1000kg containing a propellant gas of 3000kg is to be launched vertically.If the fuel is consumed at a steady rate of 60kg/s.Calculate the least velocith of the exhaust gases if the rocket and the content will just lift off the launching pad immediately after firing?

$${A}\:{rocket}\:{of}\:{mass}\:\mathrm{1000}{kg}\:{containing} \\ $$$${a}\:\:{propellant}\:{gas}\:{of}\:\mathrm{3000}{kg}\:{is}\:{to} \\ $$$${be}\:{launched}\:{vertically}.{If}\:{the}\:{fuel} \\ $$$${is}\:{consumed}\:{at}\:{a}\:{steady}\:{rate}\:{of} \\ $$$$\mathrm{60}{kg}/{s}.{Calculate}\:{the}\:{least}\:{velocith} \\ $$$${of}\:{the}\:{exhaust}\:{gases}\:{if}\:{the}\:{rocket} \\ $$$${and}\:{the}\:{content}\:{will}\:{just}\:{lift}\:{off} \\ $$$${the}\:{launching}\:{pad}\:{immediately} \\ $$$${after}\:{firing}? \\ $$

Question Number 49487 Answers: 0 Comments: 2

Find the nth term of the sequence: 5, 5, 35, 65, 275, ... Answer: 3^n − (− 2)^n ple1ase how

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sequence}:\:\:\mathrm{5},\:\:\mathrm{5},\:\:\mathrm{35},\:\mathrm{65},\:\:\mathrm{275},\:... \\ $$$$ \\ $$$$\mathrm{Answer}:\:\:\:\:\:\mathrm{3}^{\boldsymbol{\mathrm{n}}} \:−\:\left(−\:\mathrm{2}\right)^{\boldsymbol{\mathrm{n}}} \:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{ple}}\mathrm{1ase}\:\mathrm{how} \\ $$

Pg 1594 Pg 1595 Pg 1596 Pg 1597 Pg 1598 Pg 1599 Pg 1600 Pg 1601 Pg 1602 Pg 1603

Contact: info@tinkutara.com