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AllQuestion and Answers: Page 317

Question Number 190339 Answers: 1 Comments: 0

solve for x ∈R (√(x−1))+(√(3x−5))+(√(4x−7))=4x−5

$${solve}\:{for}\:{x}\:\in\mathbb{R} \\ $$$$\sqrt{{x}−\mathrm{1}}+\sqrt{\mathrm{3}{x}−\mathrm{5}}+\sqrt{\mathrm{4}{x}−\mathrm{7}}=\mathrm{4}{x}−\mathrm{5} \\ $$

Question Number 190329 Answers: 0 Comments: 1

Question Number 190325 Answers: 1 Comments: 0

Question Number 190324 Answers: 1 Comments: 1

Question Number 190321 Answers: 0 Comments: 1

What is the length x of triangle equilateral A^′ B′C′,such that Area(triangle ABC)=Area(triangle A′B^′ C′)

$${What}\:{is}\:{the}\:{length}\:\:\boldsymbol{{x}}\:\:{of}\:{triangle} \\ $$$${equilateral}\:{A}^{'} {B}'{C}',{such}\:{that} \\ $$$${Area}\left({triangle}\:{ABC}\right)={Area}\left({triangle}\:{A}'{B}^{'} {C}'\right) \\ $$$$ \\ $$

Question Number 190318 Answers: 2 Comments: 0

Question Number 190317 Answers: 1 Comments: 0

Question Number 190315 Answers: 0 Comments: 0

Question Number 190306 Answers: 1 Comments: 0

Question Number 190303 Answers: 1 Comments: 0

If, f(x)= ((⌊−x ⌋)/x) +1 ⇒ critical points = ?

$$ \\ $$$$\:\:\:\:\:\mathrm{I}{f},\:\:{f}\left({x}\right)=\:\frac{\lfloor−{x}\:\rfloor}{{x}}\:+\mathrm{1}\:\:\Rightarrow\:\:{critical}\:{points}\:\:=\:? \\ $$$$ \\ $$

Question Number 190300 Answers: 2 Comments: 0

lim_( x→0) (( sin(x) −tan(x))/x^( 3) ) a: (1/2) b: ((−1)/4) c: ((−1)/2) d: ((−1)/4)

$$ \\ $$$$\:\:\:\mathrm{lim}_{\:{x}\rightarrow\mathrm{0}} \frac{\:{sin}\left({x}\right)\:−{tan}\left({x}\right)}{{x}^{\:\mathrm{3}} } \\ $$$$\:\:\:\:\:{a}:\:\:\:\:\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\:\:\:\:\:\:\:{b}:\:\:\:\:\frac{−\mathrm{1}}{\mathrm{4}}\:\:\:\:\:\:\:\:\:{c}:\:\:\:\:\:\frac{−\mathrm{1}}{\mathrm{2}}\:\:\:\:\:\:\:\:\:\:{d}:\:\:\:\:\frac{−\mathrm{1}}{\mathrm{4}} \\ $$$$ \\ $$

Question Number 190297 Answers: 1 Comments: 0

Question Number 190286 Answers: 1 Comments: 0

Question Number 190285 Answers: 1 Comments: 5

Question Number 190284 Answers: 2 Comments: 0

find the remainder if 4^(2023) divides by 7

$$\mathrm{find}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{if}\:\mathrm{4}^{\mathrm{2023}} \: \\ $$$$\mathrm{divides}\:\mathrm{by}\:\mathrm{7} \\ $$

Question Number 190283 Answers: 0 Comments: 0

calculate laplace transform L { (( e^( −(1/x)) )/( (√x) )) } = ?

$$ \\ $$$$\:\:{calculate} \\ $$$$ \\ $$$$\:\:\:\:{laplace}\:\:{transform}\:\: \\ $$$$\:\:\:\:\:\:\:\mathscr{L}\:\:\:\left\{\:\:\frac{\:{e}^{\:−\frac{\mathrm{1}}{{x}}} }{\:\sqrt{{x}}\:}\:\:\right\}\:=\:?\: \\ $$$$ \\ $$

Question Number 190275 Answers: 1 Comments: 0

Find the value of i^n for every positive integer n, where i^2 = −1, i^3 = i^2 i, i^4 = i^2 i^2 , etc.

$$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{i}^{\mathrm{n}} \:\mathrm{for}\:\mathrm{every}\:\mathrm{positive} \\ $$$$\:\mathrm{integer}\:\mathrm{n},\:\mathrm{where}\:\mathrm{i}^{\mathrm{2}} \:=\:−\mathrm{1},\:\mathrm{i}^{\mathrm{3}} =\:\mathrm{i}^{\mathrm{2}} \mathrm{i},\:\mathrm{i}^{\mathrm{4}} \:=\:\mathrm{i}^{\mathrm{2}} \mathrm{i}^{\mathrm{2}} \:,\:{etc}. \\ $$

Question Number 190272 Answers: 0 Comments: 0

Question Number 190270 Answers: 1 Comments: 0

Question Number 190269 Answers: 1 Comments: 1

Question Number 190266 Answers: 1 Comments: 0

a ball is thrown vertically upward from a point 0.5m above the ground with speed u = 7m/s find the height reached above ground g = 10m/s^2

$${a}\:{ball}\:{is}\:{thrown}\:{vertically}\:{upward} \\ $$$${from}\:{a}\:{point}\:\mathrm{0}.\mathrm{5}{m}\:{above}\:{the}\:{ground}\:{with} \\ $$$${speed}\:{u}\:=\:\mathrm{7}{m}/{s} \\ $$$${find}\:{the}\:{height}\:{reached}\:{above}\:{ground} \\ $$$${g}\:=\:\mathrm{10}{m}/{s}^{\mathrm{2}} \\ $$

Question Number 190263 Answers: 0 Comments: 0

Question Number 190260 Answers: 1 Comments: 0

f : [1, 3] →R , f(x) = (1/x) A(1, 1) B(1, (1/3)) B′(b, (1/b)) , b ≥ 1 Find i. equation of line AB′ ii. equation of tangent T ′ to C_f at point with x = ((1 + b)/2) iii. Study relative positions of L_(AB ′) , T ′ to C_f

$${f}\::\:\left[\mathrm{1},\:\mathrm{3}\right]\:\rightarrow\mathbb{R}\:,\:{f}\left({x}\right)\:=\:\frac{\mathrm{1}}{{x}} \\ $$$${A}\left(\mathrm{1},\:\mathrm{1}\right) \\ $$$${B}\left(\mathrm{1},\:\frac{\mathrm{1}}{\mathrm{3}}\right) \\ $$$${B}'\left({b},\:\frac{\mathrm{1}}{{b}}\right)\:,\:{b}\:\geqslant\:\mathrm{1} \\ $$$${Find} \\ $$$${i}.\:{equation}\:{of}\:{line}\:{AB}' \\ $$$${ii}.\:{equation}\:{of}\:{tangent}\:{T}\:'\:{to}\:{C}_{{f}} \:{at}\:{point} \\ $$$${with}\:{x}\:=\:\frac{\mathrm{1}\:+\:{b}}{\mathrm{2}} \\ $$$${iii}.\:{Study}\:{relative}\:{positions}\:{of}\:{L}_{{AB}\:'} \:,\:{T}\:'\:{to}\:{C}_{{f}} \\ $$

Question Number 190259 Answers: 0 Comments: 4

solve the differential equation. (d^2 /dt^2 ) x + ω^2 x(t) =0 ;x(0)=0;x^2 (0)=υ_o

$$\mathrm{solve}\:\mathrm{the}\:\mathrm{differential}\: \\ $$$$\mathrm{equation}. \\ $$$$\frac{\mathrm{d}^{\mathrm{2}} }{\mathrm{dt}^{\mathrm{2}} }\:\mathrm{x}\:+\:\omega^{\mathrm{2}} \mathrm{x}\left(\mathrm{t}\right)\:=\mathrm{0} \\ $$$$;\mathrm{x}\left(\mathrm{0}\right)=\mathrm{0};\mathrm{x}^{\mathrm{2}} \left(\mathrm{0}\right)=\upsilon_{\mathrm{o}} \\ $$

Question Number 190257 Answers: 0 Comments: 2

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Question Number 190253 Answers: 1 Comments: 0

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