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Question Number 89098 Answers: 0 Comments: 0

x=^( c−1) (√((ay−bz)/(cdy))) If a increases, what happens to x? Explain your answer.

$${x}=^{\:\:{c}−\mathrm{1}} \sqrt{\frac{{ay}−{bz}}{{cdy}}} \\ $$$$ \\ $$$$\mathrm{If}\:{a}\:\mathrm{increases},\:\mathrm{what}\:\mathrm{happens}\:\mathrm{to}\:{x}? \\ $$$$\mathrm{Explain}\:\mathrm{your}\:\mathrm{answer}. \\ $$

Question Number 89079 Answers: 2 Comments: 0

(cos 4x+1)(cos 2x+1)(cos x+1)= (1/8) 0 ≤ x ≤ 2π

$$\left(\mathrm{cos}\:\mathrm{4}{x}+\mathrm{1}\right)\left(\mathrm{cos}\:\mathrm{2}{x}+\mathrm{1}\right)\left(\mathrm{cos}\:{x}+\mathrm{1}\right)=\:\frac{\mathrm{1}}{\mathrm{8}} \\ $$$$\mathrm{0}\:\leqslant\:{x}\:\leqslant\:\mathrm{2}\pi \\ $$

Question Number 89077 Answers: 0 Comments: 0

Question Number 89074 Answers: 0 Comments: 1

×^4 +×^2 =1

$$×^{\mathrm{4}} +×^{\mathrm{2}} =\mathrm{1} \\ $$

Question Number 89055 Answers: 0 Comments: 0

Question Number 89064 Answers: 1 Comments: 0

(√(1+(√(1+2(√(1+3(√(...)))))))) + (1/((√(1+2(√(1+3(√(1+4(√(...))))))))+(1/(√(1+3(√(1+4(√(1+5(√(...))))))))))) = ...

$$\sqrt{\mathrm{1}+\sqrt{\mathrm{1}+\mathrm{2}\sqrt{\mathrm{1}+\mathrm{3}\sqrt{...}}}}\:+\:\frac{\mathrm{1}}{\sqrt{\mathrm{1}+\mathrm{2}\sqrt{\mathrm{1}+\mathrm{3}\sqrt{\mathrm{1}+\mathrm{4}\sqrt{...}}}}+\frac{\mathrm{1}}{\sqrt{\mathrm{1}+\mathrm{3}\sqrt{\mathrm{1}+\mathrm{4}\sqrt{\mathrm{1}+\mathrm{5}\sqrt{...}}}}}}\:=\:... \\ $$

Question Number 89063 Answers: 0 Comments: 0

let f(x) = x^3 + 2x^2 + 3x + 4 find the region enclosed by f ′, f ′′ and f ′′′

$$\:\mathrm{let}\:{f}\left({x}\right)\:=\:{x}^{\mathrm{3}} \:+\:\mathrm{2}{x}^{\mathrm{2}} \:+\:\mathrm{3}{x}\:+\:\mathrm{4} \\ $$$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{region}\:\mathrm{enclosed}\:\mathrm{by}\:{f}\:',\:{f}\:''\:\mathrm{and}\:{f}\:''' \\ $$

Question Number 89089 Answers: 1 Comments: 0

16^(3/4) +2

$$\mathrm{16}^{\mathrm{3}/\mathrm{4}} \:+\mathrm{2} \\ $$

Question Number 89052 Answers: 0 Comments: 4

∫_0 ^(π/2) (x/(tan(x)))dx

$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{{x}}{{tan}\left({x}\right)}{dx} \\ $$

Question Number 89047 Answers: 1 Comments: 1

cos x+sin x=(4/5) 5sin x = ?

$$\mathrm{cos}\:{x}+\mathrm{sin}\:{x}=\frac{\mathrm{4}}{\mathrm{5}} \\ $$$$\mathrm{5sin}\:{x}\:=\:? \\ $$

Question Number 89086 Answers: 0 Comments: 1

show that (((2/3)−((5(√(33)))/(18))))^(1/3) +(((2/3)+((5(√(33)))/(18))))^(1/3) =1

$${show}\:{that} \\ $$$$\sqrt[{\mathrm{3}}]{\frac{\mathrm{2}}{\mathrm{3}}−\frac{\mathrm{5}\sqrt{\mathrm{33}}}{\mathrm{18}}}+\sqrt[{\mathrm{3}}]{\frac{\mathrm{2}}{\mathrm{3}}+\frac{\mathrm{5}\sqrt{\mathrm{33}}}{\mathrm{18}}}=\mathrm{1} \\ $$

Question Number 89070 Answers: 0 Comments: 0

(((√(a^2 +(b^2 /x^2 )))+(√(a^2 +b^2 x^2 )))/((√(a^2 +(b^2 /x^2 )))−(√(a^2 +b^2 x^2 )))) = ((a^2 /b^2 ))x x∈R^+ ; Express x in terms of a^2 , b^2 .

$$\frac{\sqrt{{a}^{\mathrm{2}} +\frac{{b}^{\mathrm{2}} }{{x}^{\mathrm{2}} }}+\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} {x}^{\mathrm{2}} }}{\sqrt{{a}^{\mathrm{2}} +\frac{{b}^{\mathrm{2}} }{{x}^{\mathrm{2}} }}−\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} {x}^{\mathrm{2}} }}\:=\:\left(\frac{{a}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\right){x} \\ $$$${x}\in\mathbb{R}^{+} \:\:;\:\:{Express}\:{x}\:{in}\:{terms}\:{of} \\ $$$${a}^{\mathrm{2}} ,\:{b}^{\mathrm{2}} \:. \\ $$

Question Number 89029 Answers: 0 Comments: 1

Question Number 89038 Answers: 1 Comments: 0

solve log_x (x−3)=log_x (5−x)

$${solve} \\ $$$${log}_{{x}} \left({x}−\mathrm{3}\right)={log}_{{x}} \left(\mathrm{5}−{x}\right) \\ $$

Question Number 89033 Answers: 1 Comments: 0

Question Number 89032 Answers: 0 Comments: 0

find by using de moivre′s formula cos(2°)=?

$${find}\:{by}\:{using}\:{de}\:{moivre}'{s}\:{formula} \\ $$$${cos}\left(\mathrm{2}°\right)=? \\ $$

Question Number 89010 Answers: 2 Comments: 4

Question Number 89025 Answers: 1 Comments: 0

∫((3^x +4^x )/5^x )dx

$$\int\frac{\mathrm{3}^{{x}} +\mathrm{4}^{{x}} }{\mathrm{5}^{{x}} }{dx} \\ $$

Question Number 88997 Answers: 0 Comments: 5

Question Number 89007 Answers: 1 Comments: 0

Question Number 88985 Answers: 0 Comments: 9

lim_(x→3) ln ∣x−3∣ exist or no?

$$\underset{{x}\rightarrow\mathrm{3}} {\mathrm{lim}}\:\mathrm{ln}\:\mid{x}−\mathrm{3}\mid\: \\ $$$${exist}\:{or}\:{no}? \\ $$

Question Number 88977 Answers: 0 Comments: 1

x^3 + 3^x = 17 x =?

$$\:{x}^{\mathrm{3}} \:+\:\mathrm{3}^{{x}} \:=\:\mathrm{17} \\ $$$${x}\:=? \\ $$

Question Number 88973 Answers: 0 Comments: 0

∫((3tan(x))/(2sin^2 (x)+5cos^2 (x)+sec(x)))dx

$$\int\frac{\mathrm{3}{tan}\left({x}\right)}{\mathrm{2}{sin}^{\mathrm{2}} \left({x}\right)+\mathrm{5}{cos}^{\mathrm{2}} \left({x}\right)+{sec}\left({x}\right)}{dx} \\ $$

Question Number 88970 Answers: 0 Comments: 0

Question Number 88967 Answers: 1 Comments: 1

Question Number 88963 Answers: 1 Comments: 1

How far can a cyclist travel in 4 h if his average speed is 11.5 km/h ?

$$\mathrm{How}\:\mathrm{far}\:\mathrm{can}\:\mathrm{a}\:\mathrm{cyclist}\:\mathrm{travel}\:\mathrm{in}\:\mathrm{4}\:\mathrm{h} \\ $$$$\mathrm{if}\:\mathrm{his}\:\mathrm{average}\:\mathrm{speed}\:\mathrm{is}\:\mathrm{11}.\mathrm{5}\:\mathrm{km}/\mathrm{h}\:? \\ $$

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