Question and Answers Forum

AllQuestion and Answers: Page 317

Question Number 190094 Answers: 2 Comments: 0

Question Number 190093 Answers: 2 Comments: 3

prove that : c= ( (√5) +2)^( (1/3)) − ((√5) −2)^( (1/3)) is a rational number.

$$ \\ $$$$\:\:\:\:\:{prove}\:\:{that}\:: \\ $$$$ \\ $$$${c}=\:\left(\:\sqrt{\mathrm{5}}\:+\mathrm{2}\right)^{\:\frac{\mathrm{1}}{\mathrm{3}}} \:−\:\left(\sqrt{\mathrm{5}}\:−\mathrm{2}\right)^{\:\frac{\mathrm{1}}{\mathrm{3}}} \\ $$$$\:\:\: \\ $$$$\:\:\:\:\:\:\:\mathrm{is}\:\:\:\mathrm{a}\:\:{rational}\:\:\mathrm{number}. \\ $$$$\:\:\:\:\: \\ $$$$\:\:\:\:\:\: \\ $$

Question Number 190091 Answers: 1 Comments: 0

1. Find sin52° + sin8° − cos22° 2. If a^2 + (1/a^2 ) = 6 find a^3 + (1/a^3 ) 3. Find ((tan32° + tan13°)/(1 − tan32° ∙ tan13°))

$$\mathrm{1}.\:\mathrm{Find}\:\:\:\mathrm{sin52}°\:+\:\mathrm{sin8}°\:−\:\mathrm{cos22}° \\ $$$$\mathrm{2}.\:\mathrm{If}\:\:\:\mathrm{a}^{\mathrm{2}} \:+\:\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{2}} }\:=\:\mathrm{6}\:\:\:\mathrm{find}\:\:\:\mathrm{a}^{\mathrm{3}} \:+\:\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{3}} } \\ $$$$\mathrm{3}.\:\mathrm{Find}\:\:\:\frac{\mathrm{tan32}°\:+\:\mathrm{tan13}°}{\mathrm{1}\:−\:\mathrm{tan32}°\:\centerdot\:\mathrm{tan13}°} \\ $$

Question Number 190082 Answers: 1 Comments: 0

Question Number 190079 Answers: 0 Comments: 1

F(t)=(4t^3 ,2cos(2t),3e^(3t) ) find F ′(t) F ′(t)=(12t^2 ,-4sin(2t),9e^(3t) ) is my answer correct?

$$ \\ $$$$ \\ $$$$\:{F}\left({t}\right)=\left(\mathrm{4}{t}^{\mathrm{3}} ,\mathrm{2}{cos}\left(\mathrm{2}{t}\right),\mathrm{3}{e}^{\mathrm{3}{t}} \right) \\ $$$$\:{find}\:{F}\:'\left({t}\right) \\ $$$$\:{F}\:'\left({t}\right)=\left(\mathrm{12}{t}^{\mathrm{2}} ,-\mathrm{4}{sin}\left(\mathrm{2}{t}\right),\mathrm{9}{e}^{\mathrm{3}{t}} \right) \\ $$$$\:{is}\:{my}\:{answer}\:{correct}? \\ $$

Question Number 190076 Answers: 2 Comments: 0

Question Number 190075 Answers: 1 Comments: 0

Question Number 190073 Answers: 0 Comments: 0

Question Number 190067 Answers: 2 Comments: 0

Question Number 190061 Answers: 1 Comments: 0

Question Number 190056 Answers: 1 Comments: 0

Solve : { ((y′(t)=[tanh(y(t))]^(−1) )),((y(0)=2)) :} tanh is hyperbolic tangent function.

$${Solve}\:: \\ $$$$\begin{cases}{{y}'\left({t}\right)=\left[{tanh}\left({y}\left({t}\right)\right)\right]^{−\mathrm{1}} }\\{{y}\left(\mathrm{0}\right)=\mathrm{2}}\end{cases} \\ $$$$ \\ $$$${tanh}\:{is}\:{hyperbolic}\:{tangent}\:{function}. \\ $$

Question Number 190052 Answers: 1 Comments: 0

Evaluate ∫∫_A (x+y)^2 dxdy over the area bounded by the ellipse (x^2 /a^2 ) + (y^2 /b^2 ) = 1 Anybody?

$$\mathrm{Evaluate}\:\int\int_{\mathrm{A}} \left(\mathrm{x}+\mathrm{y}\right)^{\mathrm{2}} \mathrm{dxdy}\:\mathrm{over}\:\mathrm{the} \\ $$$$\mathrm{area}\:\mathrm{bounded}\:\mathrm{by}\:\mathrm{the}\:\mathrm{ellipse}\: \\ $$$$\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{a}^{\mathrm{2}} }\:+\:\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{b}^{\mathrm{2}} }\:=\:\mathrm{1} \\ $$$$ \\ $$$$ \\ $$$$\mathrm{Anybody}? \\ $$

Question Number 190047 Answers: 0 Comments: 1

Question Number 190041 Answers: 0 Comments: 0

Question Number 190039 Answers: 1 Comments: 0

b+(√b)−3=0 b>0 find 2b^2 −14b + 28 = ?

$$\mathrm{b}+\sqrt{\mathrm{b}}−\mathrm{3}=\mathrm{0} \\ $$$$\mathrm{b}>\mathrm{0} \\ $$$$\mathrm{find}\:\:\:\mathrm{2b}^{\mathrm{2}} −\mathrm{14b}\:+\:\mathrm{28}\:=\:? \\ $$

Question Number 190038 Answers: 1 Comments: 0

Find: ((21 + (√(4a − 3)))/(4a + (√(3 − 4a))))

$$\mathrm{Find}:\:\:\:\frac{\mathrm{21}\:+\:\sqrt{\mathrm{4a}\:−\:\mathrm{3}}}{\mathrm{4a}\:+\:\sqrt{\mathrm{3}\:−\:\mathrm{4a}}} \\ $$

Question Number 190035 Answers: 1 Comments: 0

10^(93) − 93 Find the sum of the numbers

$$\mathrm{10}^{\mathrm{93}} \:−\:\mathrm{93} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{numbers} \\ $$

Question Number 190034 Answers: 3 Comments: 0

If x + (2/x) = (√(17)) Find: (((x^2 − 4)(x^2 − 1))/x^2 ) = ?

$$\mathrm{If}\:\:\:\mathrm{x}\:+\:\frac{\mathrm{2}}{\mathrm{x}}\:=\:\sqrt{\mathrm{17}} \\ $$$$\mathrm{Find}:\:\:\:\frac{\left(\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{4}\right)\left(\mathrm{x}^{\mathrm{2}} \:−\:\mathrm{1}\right)}{\mathrm{x}^{\mathrm{2}} }\:=\:? \\ $$

Question Number 190032 Answers: 4 Comments: 0

x > 0 xy − 18 = 0 (2x + y)_(min) = ?

$$\mathrm{x}\:>\:\mathrm{0} \\ $$$$\mathrm{xy}\:−\:\mathrm{18}\:=\:\mathrm{0} \\ $$$$\left(\mathrm{2x}\:+\:\mathrm{y}\right)_{\boldsymbol{\mathrm{min}}} \:=\:? \\ $$

Question Number 190027 Answers: 1 Comments: 0

a^2 + b^2 = 12 ab = 4 Fund: a^3 + b^3 = ?

$$\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:=\:\mathrm{12} \\ $$$$\mathrm{ab}\:=\:\mathrm{4} \\ $$$$\mathrm{Fund}:\:\:\:\mathrm{a}^{\mathrm{3}} \:+\:\mathrm{b}^{\mathrm{3}} \:=\:? \\ $$

Question Number 190025 Answers: 1 Comments: 0

If f(x) = 3x^5 + 2x^2 Find: f((√2) − 1) + f(1 − (√2)) + 3

$$\mathrm{If}\:\:\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{3x}^{\mathrm{5}} \:+\:\mathrm{2x}^{\mathrm{2}} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{f}\left(\sqrt{\mathrm{2}}\:−\:\mathrm{1}\right)\:+\:\mathrm{f}\left(\mathrm{1}\:−\:\sqrt{\mathrm{2}}\right)\:+\:\mathrm{3} \\ $$

Question Number 190024 Answers: 1 Comments: 0

Find: (√(4+(√2))) ∙ (√(3+(√(5+(√2))))) ∙ (√(3−(√(5+(√2))))) + ∣(√(14))−4∣

$$\mathrm{Find}: \\ $$$$\sqrt{\mathrm{4}+\sqrt{\mathrm{2}}}\:\centerdot\:\sqrt{\mathrm{3}+\sqrt{\mathrm{5}+\sqrt{\mathrm{2}}}}\:\centerdot\:\sqrt{\mathrm{3}−\sqrt{\mathrm{5}+\sqrt{\mathrm{2}}}}\:+\:\mid\sqrt{\mathrm{14}}−\mathrm{4}\mid \\ $$

Question Number 190022 Answers: 1 Comments: 2

5x^2 − 3x + 5 = 0 Find: x + (1/x) = 0

$$\mathrm{5x}^{\mathrm{2}} \:−\:\mathrm{3x}\:+\:\mathrm{5}\:=\:\mathrm{0} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{x}\:+\:\frac{\mathrm{1}}{\mathrm{x}}\:=\:\mathrm{0} \\ $$

Question Number 190017 Answers: 0 Comments: 0

Question Number 190009 Answers: 0 Comments: 2

Question Number 190006 Answers: 0 Comments: 0

Pg 312 Pg 313 Pg 314 Pg 315 Pg 316 Pg 317 Pg 318 Pg 319 Pg 320 Pg 321

Contact: info@tinkutara.com