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Question Number 170202 Answers: 0 Comments: 10

A point is 3cm, 4cm and 5cm away from three vertices of a rectangle. How far can it be from the 4th vertex. Find all solutions

$$\:\mathrm{A}\:\mathrm{point}\:\mathrm{is}\:\mathrm{3cm},\:\mathrm{4cm}\:\mathrm{and}\:\mathrm{5cm}\:\mathrm{away}\: \\ $$$$\:\:\mathrm{from}\:\mathrm{three}\:\mathrm{vertices}\:\mathrm{of}\:\mathrm{a}\:\mathrm{rectangle}.\: \\ $$$$\:\mathrm{How}\:\mathrm{far}\:\mathrm{can}\:\mathrm{it}\:\mathrm{be}\:\mathrm{from}\:\mathrm{the}\:\mathrm{4th}\:\mathrm{vertex}. \\ $$$$ \\ $$$$\mathrm{Find}\:\mathrm{all}\:\mathrm{solutions} \\ $$

Question Number 170199 Answers: 1 Comments: 0

Find the first four terms of the series for e^x sinhx Mastermind

$${Find}\:{the}\:{first}\:{four}\:{terms}\:{of}\:{the}\:{series} \\ $$$${for}\:{e}^{{x}} {sinhx} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 170198 Answers: 1 Comments: 0

Find the first three term of the series for e^x ln(1+x) Mastermind

$${Find}\:{the}\:{first}\:{three}\:{term}\:{of}\:{the}\:{series} \\ $$$${for}\:{e}^{{x}} {ln}\left(\mathrm{1}+{x}\right) \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 170197 Answers: 1 Comments: 0

Question Number 170196 Answers: 0 Comments: 0

Question Number 170311 Answers: 1 Comments: 0

5(dy/dx)=tan(2x+2y+6) Mastermind

$$\mathrm{5}\frac{{dy}}{{dx}}={tan}\left(\mathrm{2}{x}+\mathrm{2}{y}+\mathrm{6}\right) \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 170189 Answers: 0 Comments: 2

Question Number 170185 Answers: 0 Comments: 1

Question Number 170184 Answers: 0 Comments: 0

Question Number 170183 Answers: 0 Comments: 0

Question Number 170182 Answers: 1 Comments: 1

lim_(x→0) [x∙sin(1/x)]=?

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left[{x}\centerdot{sin}\frac{\mathrm{1}}{{x}}\right]=? \\ $$

Question Number 170181 Answers: 1 Comments: 0

Question Number 170166 Answers: 1 Comments: 1

lim_(x→0) ((1/(sin^2 x))−(1/x^2 ))=? please solve it describely.

$${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\left(\frac{\mathrm{1}}{{sin}^{\mathrm{2}} {x}}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)=? \\ $$$${please}\:{solve}\:{it}\:{describely}. \\ $$

Question Number 170187 Answers: 1 Comments: 3

Question Number 170159 Answers: 1 Comments: 0

lim_(x→4) ((e !x−24)/( (√x)−2))=?

$$\underset{{x}\rightarrow\mathrm{4}} {\mathrm{lim}}\:\frac{{e}\:!{x}−\mathrm{24}}{\:\sqrt{{x}}−\mathrm{2}}=? \\ $$

Question Number 170155 Answers: 1 Comments: 0

Given f(x)=x(√(1−x+(√(1−x)))) where 0≤x≤1 find max f(x)

$$\:\:{Given}\:{f}\left({x}\right)={x}\sqrt{\mathrm{1}−{x}+\sqrt{\mathrm{1}−{x}}} \\ $$$$\:{where}\:\mathrm{0}\leqslant{x}\leqslant\mathrm{1} \\ $$$$\:{find}\:{max}\:{f}\left({x}\right) \\ $$

Question Number 170154 Answers: 0 Comments: 0

Question Number 170150 Answers: 1 Comments: 0

Question Number 170148 Answers: 1 Comments: 0

Question Number 170255 Answers: 1 Comments: 0

(d/dx)[∫_2 ^x e^t^2 dt=?

$$\frac{{d}}{{dx}}\left[\int_{\mathrm{2}} ^{{x}} {e}^{{t}^{\mathrm{2}} } {dt}=?\right. \\ $$

Question Number 170143 Answers: 0 Comments: 3

Question Number 170142 Answers: 0 Comments: 2

Question Number 170141 Answers: 1 Comments: 3

lim_(x→0) ((1/(sin^2 x))−(1/x^2 ))=?

$${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\left(\frac{\mathrm{1}}{{sin}^{\mathrm{2}} {x}}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)=? \\ $$

Question Number 170140 Answers: 0 Comments: 0

Question Number 170131 Answers: 1 Comments: 0

4^(∣x∣) =x^4 x=?

$$\mathrm{4}^{\mid{x}\mid} ={x}^{\mathrm{4}} \\ $$$${x}=? \\ $$

Question Number 170130 Answers: 0 Comments: 3

lim_(x→0) ((1/(sin^2 x))−(1/x^2 ))=?

$${li}\underset{{x}\rightarrow\mathrm{0}} {{m}}\left(\frac{\mathrm{1}}{{sin}^{\mathrm{2}} {x}}−\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\right)=? \\ $$

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