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Question Number 47432 Answers: 0 Comments: 1

what is the nth derivative of e^(ax) sin (bx+c)?

$$ \\ $$$${what}\:{is}\:{the}\:{nth}\:{derivative}\:{of} \\ $$$${e}^{{ax}} \mathrm{sin}\:\left({bx}+{c}\right)? \\ $$

Question Number 47425 Answers: 1 Comments: 1

Question Number 47422 Answers: 1 Comments: 1

Question Number 47413 Answers: 1 Comments: 0

Calculate: 1999^2 − 1998^2 + 1997^2 − 1996^2 ... − 2^2 + 1^2

$$\mathrm{Calculate}:\:\:\mathrm{1999}^{\mathrm{2}} \:−\:\mathrm{1998}^{\mathrm{2}} \:+\:\mathrm{1997}^{\mathrm{2}} \:−\:\mathrm{1996}^{\mathrm{2}} \:...\:−\:\mathrm{2}^{\mathrm{2}} \:+\:\mathrm{1}^{\mathrm{2}} \\ $$

Question Number 47407 Answers: 1 Comments: 0

Question Number 47402 Answers: 2 Comments: 2

Question Number 47401 Answers: 2 Comments: 1

Question Number 47421 Answers: 1 Comments: 0

(√(400^2 +100^2 =))

$$\sqrt{\mathrm{400}^{\mathrm{2}} +\mathrm{100}^{\mathrm{2}} =} \\ $$

Question Number 47420 Answers: 0 Comments: 0

$$ \\ $$

Question Number 47394 Answers: 1 Comments: 1

f(z)=((3z+1)/(2−4z)) f(f(z))=...

$${f}\left({z}\right)=\frac{\mathrm{3}{z}+\mathrm{1}}{\mathrm{2}−\mathrm{4}{z}} \\ $$$${f}\left({f}\left({z}\right)\right)=... \\ $$

Question Number 47391 Answers: 2 Comments: 1

z_1 =3+i z_2 =1−2i determinant ((((2z_2 +z_1 −5−i)/(2z_1 −z_2 +3−i))))^2 =..

$${z}_{\mathrm{1}} =\mathrm{3}+{i} \\ $$$${z}_{\mathrm{2}} =\mathrm{1}−\mathrm{2}{i} \\ $$$$\begin{vmatrix}{\frac{\mathrm{2}{z}_{\mathrm{2}} +{z}_{\mathrm{1}} −\mathrm{5}−{i}}{\mathrm{2}{z}_{\mathrm{1}} −{z}_{\mathrm{2}} +\mathrm{3}−{i}}}\end{vmatrix}^{\mathrm{2}} =.. \\ $$

Question Number 47389 Answers: 0 Comments: 1

((√3)−i)^(1+2i) =...

$$\left(\sqrt{\mathrm{3}}−{i}\right)^{\mathrm{1}+\mathrm{2}{i}} =... \\ $$

Question Number 47387 Answers: 0 Comments: 3

Find∫(√(sin2x)) dx=??

$$\mathscr{F}{ind}\int\sqrt{{sin}\mathrm{2}{x}}\:{dx}=?? \\ $$

Question Number 47382 Answers: 0 Comments: 1

Question Number 47377 Answers: 1 Comments: 1

Question Number 47376 Answers: 1 Comments: 0

Question Number 47365 Answers: 0 Comments: 0

Question Number 47364 Answers: 1 Comments: 1

anybody please help q...∫cos^(−1) (√x) dx

$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$${anybody}\:{please}\:{help} \\ $$$${q}...\int\mathrm{cos}^{−\mathrm{1}} \sqrt{{x}}\:{dx} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Question Number 47354 Answers: 0 Comments: 4

Question Number 47350 Answers: 3 Comments: 1

Question Number 47349 Answers: 1 Comments: 0

Question Number 47344 Answers: 1 Comments: 0

On the moon the acceleration of free fall is only about 1.6ms^(−2) . About how long should a boy be able to throw a ball there if he can throw it 10m high on earth? (g=10ms^(−2) )

$${On}\:{the}\:{moon}\:{the}\:{acceleration}\:{of} \\ $$$${free}\:{fall}\:{is}\:{only}\:{about}\:\mathrm{1}.\mathrm{6}{ms}^{−\mathrm{2}} . \\ $$$${About}\:{how}\:{long}\:{should}\:{a}\:{boy}\:{be} \\ $$$${able}\:{to}\:{throw}\:{a}\:{ball}\:{there}\:{if}\:{he}\:{can} \\ $$$${throw}\:{it}\:\mathrm{10}{m}\:{high}\:{on}\:{earth}? \\ $$$$\left({g}=\mathrm{10}{ms}^{−\mathrm{2}} \right) \\ $$

Question Number 47342 Answers: 2 Comments: 1

Question Number 47341 Answers: 0 Comments: 0

1.sketch the region of integration,reverse order of integration and hence evaluate the ∫_0 ^(2(√(ln3))) ∫_(y/2) ^(√(ln3)) e^x^2 dx dy

$$\mathrm{1}.\mathrm{sketch}\:\:\mathrm{the}\:\:\mathrm{region}\:\:\mathrm{of}\:\:\mathrm{integration},{reverse}\:\:{order}\:\:{of}\:\:{integration}\:\:{and}\:\:{hence}\:\:{evaluate}\:\:{the}\:\underset{\mathrm{0}} {\overset{\mathrm{2}\sqrt{{ln}\mathrm{3}}} {\int}}\:\underset{{y}/\mathrm{2}} {\overset{\sqrt{{ln}\mathrm{3}}} {\int}}\:\:{e}^{{x}^{\mathrm{2}} } \:{dx}\:{dy} \\ $$

Question Number 47333 Answers: 2 Comments: 0

An aircraft flying horizontally 100m above the ground and at 720km/h drops a bomb on a target on the ground.Determine the acute angle between the vertical and the line joining the aircraft and target at the instance when the bomb is released.(g=10ms^(−2) )

$${An}\:{aircraft}\:{flying}\:{horizontally} \\ $$$$\mathrm{100}{m}\:{above}\:{the}\:{ground}\:{and}\:{at}\:\mathrm{720}{km}/{h} \\ $$$${drops}\:{a}\:{bomb}\:{on}\:{a}\:{target}\:{on}\:{the} \\ $$$${ground}.{Determine}\:{the}\:{acute}\:{angle} \\ $$$${between}\:{the}\:{vertical}\:{and}\:{the}\:{line} \\ $$$${joining}\:{the}\:{aircraft}\:{and}\:{target}\:{at} \\ $$$${the}\:{instance}\:{when}\:{the}\:{bomb}\:{is} \\ $$$${released}.\left({g}=\mathrm{10}{ms}^{−\mathrm{2}} \right) \\ $$$$ \\ $$

Question Number 47331 Answers: 0 Comments: 1

this remained unsolved... ∣x−(3/4)∣×∣x+(5/4)∣=3; x∈C

$$\mathrm{this}\:\mathrm{remained}\:\mathrm{unsolved}... \\ $$$$\mid{x}−\frac{\mathrm{3}}{\mathrm{4}}\mid×\mid{x}+\frac{\mathrm{5}}{\mathrm{4}}\mid=\mathrm{3};\:{x}\in\mathbb{C} \\ $$

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