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GeometryQuestion and Answers: Page 114

Question Number 10513 Answers: 0 Comments: 1

e^((−2×10^(−2) /2))

$${e}^{\left(−\mathrm{2}×\mathrm{10}^{−\mathrm{2}} /\mathrm{2}\right)} \\ $$

Question Number 10480 Answers: 2 Comments: 0

d/dx(cos^2 xdy/dx)=0

$${d}/{dx}\left(\mathrm{cos}\:^{\mathrm{2}} {xdy}/{dx}\right)=\mathrm{0} \\ $$$$ \\ $$

Question Number 10477 Answers: 0 Comments: 0

maximum and minimum value of 12x^(5−5x^4_(+40x^3_(+6) ) )

$${maximum}\:{and}\:{minimum}\:{value}\:{of}\: \\ $$$$\mathrm{12}{x}^{\mathrm{5}−\mathrm{5}{x}^{\mathrm{4}_{+\mathrm{40}{x}^{\mathrm{3}_{+\mathrm{6}} } } } } \\ $$

Question Number 10435 Answers: 1 Comments: 1

Question Number 10426 Answers: 0 Comments: 0

good morning!!!! we have f(x)=x^2 +2x g(x)=−2x^2 −3x+2 and d(m)=mx+2m 1)determine the coordonate of M_1 and M_2 intersection points respectively of (Cf) and d(m) or(Cg) and d(m)

$${good}\:{morning}!!!! \\ $$$${we}\:{have}\:\:{f}\left({x}\right)={x}^{\mathrm{2}} +\mathrm{2}{x}\:\:\:{g}\left({x}\right)=−\mathrm{2}{x}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{2} \\ $$$${and}\:{d}\left({m}\right)={mx}+\mathrm{2}{m} \\ $$$$\left.\mathrm{1}\right){determine}\:{the}\:{coordonate}\:{of}\:{M}_{\mathrm{1}} \:{and}\:{M}_{\mathrm{2}} \: \\ $$$${intersection}\:{points}\:{respectively}\:{of}\:\left({Cf}\right)\:{and}\:{d}\left({m}\right) \\ $$$${or}\left({Cg}\right)\:{and}\:{d}\left({m}\right) \\ $$$$ \\ $$$$ \\ $$

Question Number 10415 Answers: 1 Comments: 0

find all the possible values of cos θ such that 2cot^2 θ + cos θ=0

$${find}\:{all}\:{the}\:{possible}\:{values}\:{of}\:\mathrm{cos}\:\theta\:{such}\:{that}\:\mathrm{2cot}\:^{\mathrm{2}} \theta\:+\:\mathrm{cos}\:\theta=\mathrm{0} \\ $$$$ \\ $$

Question Number 10303 Answers: 0 Comments: 1

Question Number 10222 Answers: 2 Comments: 1

solve simultaneously. m^4 + n^4 = 9m^2 n^2 + 1 ...... (i) m + n = 4 ........ (ii)

$$\mathrm{solve}\:\mathrm{simultaneously}. \\ $$$$\mathrm{m}^{\mathrm{4}} \:+\:\mathrm{n}^{\mathrm{4}} \:=\:\mathrm{9m}^{\mathrm{2}} \mathrm{n}^{\mathrm{2}} \:+\:\mathrm{1}\:\:\:\:\:\:\:......\:\left(\mathrm{i}\right) \\ $$$$\mathrm{m}\:+\:\mathrm{n}\:=\:\mathrm{4}\:........\:\left(\mathrm{ii}\right) \\ $$

Question Number 10200 Answers: 0 Comments: 0

Question Number 10195 Answers: 1 Comments: 1

The number of integral solutions of the equation 7(y+(1/y))−2(y^2 +(1/y^2 ))=9 are?

$${The}\:{number}\:{of}\:{integral}\:{solutions}\:{of}\:{the}\:{equation}\: \\ $$$$\mathrm{7}\left({y}+\frac{\mathrm{1}}{{y}}\right)−\mathrm{2}\left({y}^{\mathrm{2}} +\frac{\mathrm{1}}{{y}^{\mathrm{2}} }\right)=\mathrm{9}\:\mathrm{are}? \\ $$

Question Number 10181 Answers: 0 Comments: 0

Let A be a subset of {0;1;∙∙∙;1997} containing more than 1000 elements. Prove that A contains either a power of 2 or two distinct integers whose sum is a power of 2.

$${Let}\:{A}\:{be}\:{a}\:{subset}\:{of}\:\left\{\mathrm{0};\mathrm{1};\centerdot\centerdot\centerdot;\mathrm{1997}\right\}\: \\ $$$${containing}\:{more}\:{than}\:\mathrm{1000}\:{elements}. \\ $$$${Prove}\:{that}\:{A}\:{contains}\:{either}\:{a}\:{power} \\ $$$${of}\:\mathrm{2}\:{or}\:{two}\:{distinct}\:{integers}\:{whose}\: \\ $$$${sum}\:{is}\:{a}\:{power}\:{of}\:\mathrm{2}. \\ $$

Question Number 10166 Answers: 1 Comments: 1

Question Number 10121 Answers: 0 Comments: 0

tank you

$${tank}\:{you} \\ $$

Question Number 10114 Answers: 1 Comments: 0

how can demontred tan 3x=_( ) ((3tanx−tan^3 x)/(1_ −3tan^2 x)) pleace help me

$${how}\:{can}\:{demontred} \\ $$$$\mathrm{tan}\:\mathrm{3}{x}\underset{\:\:\:\:\:\:\:\:\:} {=}\frac{\mathrm{3}{tanx}−{tan}^{\mathrm{3}} {x}}{\underset{} {\mathrm{1}}−\mathrm{3}{tan}^{\mathrm{2}} {x}} \\ $$$${pleace}\:{help}\:{me} \\ $$

Question Number 10041 Answers: 1 Comments: 0

Question Number 10005 Answers: 1 Comments: 0

(x^(1/(16)) +1)(x^(1/8) +1)(x^(1/4) +1)(x^(1/2) +1)=?

$$\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{16}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{8}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{4}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{2}}} +\mathrm{1}\right)=? \\ $$

Question Number 9988 Answers: 2 Comments: 0

a,b∈Z^+ a^3 −b^3 =19 ⇒ a.b=?

$$\mathrm{a},\mathrm{b}\in\mathrm{Z}^{+} \\ $$$$\mathrm{a}^{\mathrm{3}} −\mathrm{b}^{\mathrm{3}} =\mathrm{19}\:\:\:\Rightarrow\:\mathrm{a}.\mathrm{b}=? \\ $$

Question Number 9952 Answers: 0 Comments: 0

∫e^(xy^(2 ) ) dy _ help solve

$$\int{e}^{{xy}^{\mathrm{2}\:} } {dy}\:\:\:\:\:\:\:_{} {help}\:{solve} \\ $$

Question Number 9951 Answers: 1 Comments: 0

∫(√(tan x))dx

$$\int\sqrt{{tan}\:{x}}{dx} \\ $$

Question Number 9907 Answers: 1 Comments: 2

Question Number 9896 Answers: 0 Comments: 0

l^(−1) {((5s^2 −21s+30)/((s−3)(s^2 +4)))} pls help solve this

$${l}^{−\mathrm{1}} \left\{\frac{\mathrm{5}{s}^{\mathrm{2}} −\mathrm{21}{s}+\mathrm{30}}{\left({s}−\mathrm{3}\right)\left({s}^{\mathrm{2}} +\mathrm{4}\right)}\right\}\:\:\:{pls}\:{help}\:{solve}\:{this} \\ $$

Question Number 9895 Answers: 0 Comments: 0

pls help me solve dis questiom it is laplace l^(−1) {((4s^2 −17s−24)/(5(s+3)(s−4)))}

$${pls}\:{help}\:{me}\:{solve}\:{dis}\:{questiom}\:{it}\:{is}\: \\ $$$${laplace} \\ $$$$ \\ $$$${l}^{−\mathrm{1}} \left\{\frac{\mathrm{4}{s}^{\mathrm{2}} −\mathrm{17}{s}−\mathrm{24}}{\mathrm{5}\left({s}+\mathrm{3}\right)\left({s}−\mathrm{4}\right)}\right\} \\ $$

Question Number 9894 Answers: 0 Comments: 0

pls help me solve dis questiom it is laplace l^(−1) {((4s^2 −17s−24)/(5(s+3)(s−4)))}

Question Number 9893 Answers: 0 Comments: 0

pls help me solve dis questiom it is laplace l^(−1) {((4s^2 −17s−24)/(5(s+3)(s−4)))}

Question Number 9880 Answers: 2 Comments: 0

Question Number 9813 Answers: 1 Comments: 0

From the top of a tower 80m high, a student observe that the angle of depression of the top of a vertical pole A is 45° and the angle of depression of point B on the pole is 60°. if O is the foot of the pole and OB = 20m. Find the distance between A and B. leaving your answer in surd form.

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