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Question Number 217664 Answers: 1 Comments: 0

If f(x) = (√(2x + 3)) prove that: f ′(x) = (1/( (√(2x + 3))))

$$\mathrm{If}\:\:\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\sqrt{\mathrm{2x}\:+\:\mathrm{3}} \\ $$$$\mathrm{prove}\:\mathrm{that}:\:\:\:\mathrm{f}\:'\left(\mathrm{x}\right)\:=\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2x}\:+\:\mathrm{3}}}\: \\ $$

Question Number 217660 Answers: 1 Comments: 0

f(x) + f(y)=f(x+y)+xy f(x)=?

$$\:{f}\left({x}\right)\:+\:{f}\left({y}\right)={f}\left({x}+{y}\right)+{xy}\: \\ $$$${f}\left({x}\right)=? \\ $$

Question Number 217659 Answers: 3 Comments: 0

x+y=7 ∧ x^3 +y^3 =133; x,y=?

$${x}+{y}=\mathrm{7}\:\wedge\:{x}^{\mathrm{3}} +{y}^{\mathrm{3}} =\mathrm{133};\:{x},{y}=? \\ $$

Question Number 217686 Answers: 1 Comments: 3

Question Number 217685 Answers: 0 Comments: 0

Question Number 217643 Answers: 2 Comments: 0

a^(1/3) +b^(1/3) +c^(1/3) =(1/(3^(1/3) −2^(1/3) )) b+c−a=?

$$\:{a}^{\frac{\mathrm{1}}{\mathrm{3}}} +{b}^{\frac{\mathrm{1}}{\mathrm{3}}} +{c}^{\frac{\mathrm{1}}{\mathrm{3}}} =\frac{\mathrm{1}}{\mathrm{3}^{\frac{\mathrm{1}}{\mathrm{3}}} −\mathrm{2}^{\frac{\mathrm{1}}{\mathrm{3}}} } \\ $$$$\:\:{b}+{c}−{a}=? \\ $$

Question Number 217640 Answers: 2 Comments: 1

Question Number 217631 Answers: 1 Comments: 1

Question Number 217626 Answers: 1 Comments: 0

lim_( λ→0) ∫_λ ^( 2λ) (( e^(2t ) )/t) dt = ?

$$ \\ $$$$\:\:\:\:\:\:\mathrm{lim}_{\:\lambda\rightarrow\mathrm{0}} \:\int_{\lambda} ^{\:\mathrm{2}\lambda} \:\frac{\:{e}^{\mathrm{2}{t}\:} }{{t}}\:{dt}\:=\:? \\ $$$$ \\ $$

Question Number 217617 Answers: 1 Comments: 0

Question Number 217596 Answers: 0 Comments: 1

skech the graph of y=⌊x+0.5⌋ for n≤x<n+1

$${skech}\:{the}\:{graph}\:{of}\:{y}=\lfloor{x}+\mathrm{0}.\mathrm{5}\rfloor\:{for}\:{n}\leqslant{x}<{n}+\mathrm{1} \\ $$

Question Number 217593 Answers: 4 Comments: 0

Question Number 217591 Answers: 0 Comments: 0

Question Number 217590 Answers: 1 Comments: 0

Question Number 217589 Answers: 1 Comments: 0

Question Number 217588 Answers: 0 Comments: 0

Question Number 217587 Answers: 0 Comments: 0

Question Number 217586 Answers: 1 Comments: 0

Question Number 217579 Answers: 0 Comments: 4

f : R → R f(f(x)) = x^2 − x + 1 f(x) = ? Altered Question# 217541

$$\mathrm{f}\::\:\mathbb{R}\:\rightarrow\:\mathbb{R} \\ $$$$\mathrm{f}\left(\mathrm{f}\left(\mathrm{x}\right)\right)\:=\:\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{x}\:+\:\mathrm{1} \\ $$$$\mathrm{f}\left(\mathrm{x}\right)\:=\:? \\ $$$$\mathrm{Altered}\:\mathrm{Question}#\:\mathrm{217541} \\ $$

Question Number 217575 Answers: 2 Comments: 0

Question Number 217569 Answers: 0 Comments: 0

sketch the graph of y=⌊x^2 ⌋ for n≤x<n+1

$${sketch}\:{the}\:{graph}\:{of}\:{y}=\lfloor{x}^{\mathrm{2}} \rfloor\:{for}\:{n}\leqslant{x}<{n}+\mathrm{1} \\ $$

Question Number 217568 Answers: 0 Comments: 0

skech the graph of y=⌊x+0.5⌋ for n≤x<n+1, where n is an integer

$${skech}\:{the}\:{graph}\:{of}\:{y}=\lfloor{x}+\mathrm{0}.\mathrm{5}\rfloor\:{for}\:{n}\leqslant{x}<{n}+\mathrm{1},\:{where}\:{n}\:{is}\:{an}\:{integer} \\ $$

Question Number 217567 Answers: 0 Comments: 0

Question Number 217565 Answers: 2 Comments: 1

Question Number 217541 Answers: 1 Comments: 0

f : R → R f(f(x)) = x^2 − x + 1 f(0) = ?

Question Number 217535 Answers: 2 Comments: 0

A two-digit number is such that the sum of its digits is 10. When the digits are reversed, the new number is 28 less than twice the original number. Find the original number.

$$\mathrm{A}\:\mathrm{two}-\mathrm{digit}\:\mathrm{number}\:\mathrm{is}\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{its}\:\mathrm{digits}\:\mathrm{is}\:\mathrm{10}.\:\mathrm{When} \\ $$$$\mathrm{the}\:\mathrm{digits}\:\mathrm{are}\:\mathrm{reversed},\:\mathrm{the}\:\mathrm{new}\:\mathrm{number} \\ $$$$\:\mathrm{is}\:\mathrm{28}\:\mathrm{less}\:\mathrm{than}\:\mathrm{twice}\:\mathrm{the}\:\:\mathrm{original}\:\mathrm{number}. \\ $$$$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{original}\:\mathrm{number}. \\ $$

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