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Question Number 180509 Answers: 1 Comments: 0

Question Number 180653 Answers: 2 Comments: 0

Question Number 180498 Answers: 2 Comments: 3

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Question Number 180496 Answers: 0 Comments: 0

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Question Number 180485 Answers: 0 Comments: 1

Determine the value of a and b , that make the function f(x) continuity f(x) = { ((x + 3 ,x ≨ 4)),((2ax + b ,x = 4)),((x^2 −3 , x ≩ 4)) :}

$${Determine}\:{the}\:{value}\:{of}\:{a}\:{and}\:{b}\:, \\ $$$$\:{that}\:{make}\:{the}\:{function}\:{f}\left({x}\right)\:{continuity} \\ $$$${f}\left({x}\right)\:=\:\begin{cases}{{x}\:+\:\mathrm{3}\:\:\:\:\:,{x}\:\lneqq\:\mathrm{4}}\\{\mathrm{2}{ax}\:+\:{b}\:\:\:\:,{x}\:=\:\mathrm{4}}\\{{x}^{\mathrm{2}} −\mathrm{3}\:\:\:,\:{x}\:\gneqq\:\mathrm{4}}\end{cases} \\ $$

Question Number 180483 Answers: 0 Comments: 1

Question Number 180471 Answers: 0 Comments: 1

Question Number 180467 Answers: 1 Comments: 0

Question Number 180459 Answers: 2 Comments: 0

Question Number 180458 Answers: 2 Comments: 0

Question Number 180457 Answers: 1 Comments: 11

Question Number 180449 Answers: 0 Comments: 1

x + y + z = 0 2x + 4y − z = 0 3x + 2y + 2z = 0 Solve for x,y,and z

$$\mathrm{x}\:+\:\mathrm{y}\:+\:\mathrm{z}\:=\:\mathrm{0} \\ $$$$\mathrm{2x}\:+\:\mathrm{4y}\:−\:\mathrm{z}\:=\:\mathrm{0} \\ $$$$\mathrm{3x}\:+\:\mathrm{2y}\:+\:\mathrm{2z}\:=\:\mathrm{0} \\ $$$$ \\ $$$$\mathrm{Solve}\:\mathrm{for}\:\mathrm{x},\mathrm{y},\mathrm{and}\:\mathrm{z} \\ $$

Question Number 180447 Answers: 0 Comments: 1

x + y − z = 0 2x − 3y + z = 0 x −4y + 2z = 0 find the value of x,y, and z

$$\mathrm{x}\:+\:\mathrm{y}\:−\:\mathrm{z}\:=\:\mathrm{0} \\ $$$$\mathrm{2x}\:−\:\mathrm{3y}\:+\:\mathrm{z}\:=\:\mathrm{0} \\ $$$$\mathrm{x}\:−\mathrm{4y}\:+\:\mathrm{2z}\:=\:\mathrm{0} \\ $$$$ \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x},\mathrm{y},\:\mathrm{and}\:\mathrm{z} \\ $$

Question Number 180446 Answers: 2 Comments: 0

Solve : x_1 + 2x_2 − 3x_3 = 0 2x_1 + 4x_2 − 2x_3 = 2 3x_1 + 6x_2 − 4x_3 = 3

$$\mathrm{Solve}\::\: \\ $$$$\mathrm{x}_{\mathrm{1}} \:+\:\mathrm{2x}_{\mathrm{2}} \:−\:\mathrm{3x}_{\mathrm{3}} \:=\:\mathrm{0} \\ $$$$\mathrm{2x}_{\mathrm{1}} \:+\:\mathrm{4x}_{\mathrm{2}} \:−\:\mathrm{2x}_{\mathrm{3}} \:=\:\mathrm{2} \\ $$$$\mathrm{3x}_{\mathrm{1}} \:+\:\mathrm{6x}_{\mathrm{2}} \:−\:\mathrm{4x}_{\mathrm{3}} \:=\:\mathrm{3} \\ $$

Question Number 180438 Answers: 3 Comments: 0

lim_(x→0) (((√(4+x))−(√(4−x)))/x) find the limit above

$$\mathrm{li}\underset{\mathrm{x}\rightarrow\mathrm{0}} {\mathrm{m}}\frac{\sqrt{\mathrm{4}+\mathrm{x}}−\sqrt{\mathrm{4}−\mathrm{x}}}{\mathrm{x}} \\ $$$$ \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{above} \\ $$

Question Number 180436 Answers: 0 Comments: 0

f(x−y)+f(x+y)=2f(x)f(y) find f(x) Q#180407 (Altered)

$${f}\left({x}−{y}\right)+{f}\left({x}+{y}\right)=\mathrm{2}{f}\left({x}\right){f}\left({y}\right) \\ $$$$\mathrm{find}\:{f}\left({x}\right) \\ $$$${Q}#\mathrm{180407}\:\left({Altered}\right) \\ $$

Question Number 180423 Answers: 2 Comments: 4

Question Number 180421 Answers: 2 Comments: 0

find the number of numbers less than 10^6 which contain at least 3 different digits.

$${find}\:{the}\:{number}\:{of}\:{numbers}\:{less}\:{than}\: \\ $$$$\mathrm{10}^{\mathrm{6}} \:{which}\:{contain}\:{at}\:{least}\:\mathrm{3}\:{different} \\ $$$${digits}. \\ $$

Question Number 180414 Answers: 1 Comments: 0

lim_(x→3) (((3^x −x^3 )/(x^x −3^3 ))) find the limit above

$$\mathrm{li}\underset{\mathrm{x}\rightarrow\mathrm{3}} {\mathrm{m}}\left(\frac{\mathrm{3}^{\mathrm{x}} −\mathrm{x}^{\mathrm{3}} }{\mathrm{x}^{\mathrm{x}} −\mathrm{3}^{\mathrm{3}} }\right) \\ $$$$ \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{above} \\ $$

Question Number 180413 Answers: 2 Comments: 0

lim_(h→0) (((e^h −1)/h)) find the limit above

$$\mathrm{li}\underset{\mathrm{h}\rightarrow\mathrm{0}} {\mathrm{m}}\left(\frac{\mathrm{e}^{\mathrm{h}} −\mathrm{1}}{\mathrm{h}}\right) \\ $$$$ \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{limit}\:\mathrm{above} \\ $$

Question Number 180407 Answers: 2 Comments: 0

f(x−y)+f(x+y)=f(x)f(y) find f(x)

$${f}\left({x}−{y}\right)+{f}\left({x}+{y}\right)={f}\left({x}\right){f}\left({y}\right) \\ $$$$\mathrm{find}\:{f}\left({x}\right) \\ $$

Question Number 180405 Answers: 0 Comments: 0

Ω = ∫ ((ln (x+1))/(x^2 +x)) dx =?

$$\:\:\:\Omega\:=\:\int\:\frac{\mathrm{ln}\:\left(\mathrm{x}+\mathrm{1}\right)}{\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\:\mathrm{dx}\:=? \\ $$

Question Number 180400 Answers: 2 Comments: 1

Area BEF=AreaCDF Prouve AD×BE=AE×CD

$$\mathrm{Area}\:\mathrm{BEF}=\mathrm{AreaCDF} \\ $$$$\mathrm{Prouve}\:\:\mathrm{AD}×\mathrm{BE}=\mathrm{AE}×\mathrm{CD} \\ $$

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