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Question Number 170415 Answers: 1 Comments: 0

Given x^y =e^(x−y) . find (dy/dx)? Mastermind

$$\mathrm{Given}\:\mathrm{x}^{\mathrm{y}} =\mathrm{e}^{\mathrm{x}−\mathrm{y}} .\:\mathrm{find}\:\frac{\mathrm{dy}}{\mathrm{dx}}? \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$

Question Number 170413 Answers: 1 Comments: 0

Use Trapezoidal rule with ordinate 1, 1.5, 2, 2.5, 3 to compute ∫_1 ^3 ((√(x+1))/x)dx. Mastermind

$${Use}\:{Trapezoidal}\:{rule}\:{with}\:{ordinate} \\ $$$$\mathrm{1},\:\mathrm{1}.\mathrm{5},\:\mathrm{2},\:\mathrm{2}.\mathrm{5},\:\mathrm{3}\:{to}\:{compute} \\ $$$$\int_{\mathrm{1}} ^{\mathrm{3}} \frac{\sqrt{{x}+\mathrm{1}}}{{x}}{dx}. \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 170412 Answers: 2 Comments: 0

If part of the curve y=x+1 from x=1 and x=2 is rotated completely about the y−axis. find the volume of the solid form. Mastermind

$${If}\:{part}\:{of}\:{the}\:{curve}\:{y}={x}+\mathrm{1}\:{from}\:{x}=\mathrm{1} \\ $$$${and}\:{x}=\mathrm{2}\:{is}\:{rotated}\:{completely}\:{about} \\ $$$${the}\:{y}−{axis}.\:{find}\:{the}\:{volume}\:{of}\:{the} \\ $$$${solid}\:{form}. \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 170411 Answers: 1 Comments: 0

The position of a body at time t (in seconds) is given by s=t^3 −4, what is the velocity and acceleration of the object at time t=5 ? Mastermind

$${The}\:{position}\:{of}\:{a}\:{body}\:{at}\:{time}\:{t}\:\left({in}\right. \\ $$$$\left.{seconds}\right)\:{is}\:{given}\:{by}\:{s}={t}^{\mathrm{3}} −\mathrm{4},\:{what}\:{is} \\ $$$${the}\:{velocity}\:{and}\:{acceleration}\:{of}\:{the} \\ $$$${object}\:{at}\:{time}\:{t}=\mathrm{5}\:? \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 170386 Answers: 1 Comments: 2

Find the volume of tetrahedron whose vertices are the points A(2, −1, −3), B(4, 1, 3), C(3, 2, −1) and D(1, 4, 2). Mastermind

$${Find}\:{the}\:{volume}\:{of}\:{tetrahedron}\:{whose} \\ $$$${vertices}\:{are}\:{the}\:{points}\:{A}\left(\mathrm{2},\:−\mathrm{1},\:−\mathrm{3}\right), \\ $$$${B}\left(\mathrm{4},\:\mathrm{1},\:\mathrm{3}\right),\:{C}\left(\mathrm{3},\:\mathrm{2},\:−\mathrm{1}\right)\:{and}\:{D}\left(\mathrm{1},\:\mathrm{4},\:\mathrm{2}\right). \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 170378 Answers: 1 Comments: 0

The line 2y=x+3 meets the circle x^2 +y^2 −2x−6y−15 at point M and N where N is in the second quadrant. find the coordinate of M and N. Mastermind

$${The}\:{line}\:\mathrm{2}{y}={x}+\mathrm{3}\:{meets}\:{the}\:{circle}\: \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{x}−\mathrm{6}{y}−\mathrm{15}\:{at}\:{point}\:{M}\:{and}\:{N} \\ $$$${where}\:{N}\:{is}\:{in}\:{the}\:{second}\:{quadrant}. \\ $$$${find}\:{the}\:{coordinate}\:{of}\:{M}\:{and}\:{N}. \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 170336 Answers: 2 Comments: 1

if cos^2 ∝ + 3cosec^2 θ = 7, find the expression of tan^2 θ, Hence show that tanθ=1. Mastermind

$${if}\:{cos}^{\mathrm{2}} \propto\:+\:\mathrm{3}{cosec}^{\mathrm{2}} \theta\:=\:\mathrm{7},\:{find}\:{the}\: \\ $$$${expression}\:{of}\:{tan}^{\mathrm{2}} \theta,\:{Hence}\:{show}\:{that} \\ $$$${tan}\theta=\mathrm{1}. \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 170265 Answers: 0 Comments: 1

without using calculator find the value of (2.7)^(−2.079) ? Mastermind

$${without}\:{using}\:{calculator}\:{find}\:{the}\: \\ $$$${value}\:{of}\:\left(\mathrm{2}.\mathrm{7}\right)^{−\mathrm{2}.\mathrm{079}} \:? \\ $$$$ \\ $$$${Mastermind} \\ $$

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 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 170032 Answers: 1 Comments: 2

((8^x −2^x )/(6^x −3^x ))=2 , find x ? Mastermind

$$\frac{\mathrm{8}^{{x}} −\mathrm{2}^{{x}} }{\mathrm{6}^{{x}} −\mathrm{3}^{{x}} }=\mathrm{2}\:,\:{find}\:{x}\:? \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169836 Answers: 1 Comments: 0

Question Number 169812 Answers: 0 Comments: 0

Show that f(z)=z^2 is harmonic in the polar form Mastermind

$${Show}\:{that}\:{f}\left({z}\right)={z}^{\mathrm{2}} \:{is}\:{harmonic}\:{in}\:{the} \\ $$$${polar}\:{form} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169811 Answers: 0 Comments: 0

Show that f(z)=z is harmonic in the polar form Mastermind

$${Show}\:{that}\:{f}\left({z}\right)={z}\:{is}\:{harmonic}\:{in}\:{the} \\ $$$${polar}\:{form} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169738 Answers: 3 Comments: 1

2^x +x=11 find x? Mastermind

$$\mathrm{2}^{{x}} +{x}=\mathrm{11} \\ $$$${find}\:{x}? \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169727 Answers: 0 Comments: 6

Question Number 169808 Answers: 0 Comments: 0

If the Real component of an analytic function is given by log_e (x^2 +y^2 )^(1/2) , find the function. Mastermind

$${If}\:{the}\:{Real}\:{component}\:{of}\:{an}\:{analytic} \\ $$$${function}\:{is}\:{given}\:{by}\:{log}_{{e}} \left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{2}}} , \\ $$$${find}\:{the}\:{function}. \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169807 Answers: 0 Comments: 0

Given that U=x^4 −6x^2 y^2 +y^4 , find v and w such that w=u+iv is analytic Mastermind

$${Given}\:{that}\:{U}={x}^{\mathrm{4}} −\mathrm{6}{x}^{\mathrm{2}} {y}^{\mathrm{2}} +{y}^{\mathrm{4}} ,\:{find} \\ $$$${v}\:{and}\:{w}\:{such}\:{that}\:{w}={u}+{iv}\:{is}\:{analytic} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169658 Answers: 1 Comments: 2

Question Number 169612 Answers: 1 Comments: 0

Differentiate w.r.t ′x′ x^y +y^x =c Mastermind

$${Differentiate}\:{w}.{r}.{t}\:'{x}'\: \\ $$$${x}^{{y}} +{y}^{{x}} ={c} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169447 Answers: 0 Comments: 0

The equation of the curve is given y=(x^3 /6)−((5x^2 )/2)−6x−1 1) Determine the critical points 2) Distinguish between these points 3) Determine the Maximum and minimum values 4) Determine the value of x and y at point of inflexion Mastermind

$${The}\:{equation}\:{of}\:{the}\:{curve}\:{is}\:{given} \\ $$$${y}=\frac{{x}^{\mathrm{3}} }{\mathrm{6}}−\frac{\mathrm{5}{x}^{\mathrm{2}} }{\mathrm{2}}−\mathrm{6}{x}−\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:{Determine}\:{the}\:{critical}\:{points} \\ $$$$\left.\mathrm{2}\right)\:{Distinguish}\:{between}\:{these}\:{points} \\ $$$$\left.\mathrm{3}\right)\:{Determine}\:{the}\:{Maximum}\:{and} \\ $$$${minimum}\:{values} \\ $$$$\left.\mathrm{4}\right)\:{Determine}\:{the}\:{value}\:{of}\:{x}\:{and}\:{y} \\ $$$${at}\:{point}\:{of}\:{inflexion}\: \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169396 Answers: 0 Comments: 14

(√x)+1=0 find x Mastermind

$$\sqrt{{x}}+\mathrm{1}=\mathrm{0} \\ $$$${find}\:{x} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169366 Answers: 0 Comments: 1

Differentiate from first principle y=log_x a Mastermind

$${Differentiate}\:{from}\:{first}\:{principle} \\ $$$${y}={log}_{{x}} {a} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169364 Answers: 1 Comments: 0

Show that the differential equation y′′ −4y′+4y=0 is satisfied when y=xe^(2x) Mastermind

$${Show}\:{that}\:{the}\:{differential}\:{equation} \\ $$$${y}''\:−\mathrm{4}{y}'+\mathrm{4}{y}=\mathrm{0}\:{is}\:{satisfied}\:{when} \\ $$$${y}={xe}^{\mathrm{2}{x}} \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 169362 Answers: 2 Comments: 0

∫tan(2x+3)dx Mastermind

$$\int{tan}\left(\mathrm{2}{x}+\mathrm{3}\right){dx} \\ $$$$ \\ $$$${Mastermind} \\ $$

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