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DifferentiationQuestion and Answers: Page 5

Question Number 190420    Answers: 1   Comments: 2

laplace transform −−−−−−− L_t { (( sin(t ))/t) } = F (s ) F (s )= ? then calculate . Ω=∫_0 ^( ∞) ((e^( −2t) sin(t ))/t) dt =? −−−−−−−−

laplacetransformLt{sin(t)t}=F(s)F(s)=?thencalculate.Ω=0e2tsin(t)tdt=?

Question Number 190079    Answers: 0   Comments: 1

F(t)=(4t^3 ,2cos(2t),3e^(3t) ) find F ′(t) F ′(t)=(12t^2 ,-4sin(2t),9e^(3t) ) is my answer correct?

F(t)=(4t3,2cos(2t),3e3t)findF(t)F(t)=(12t2,4sin(2t),9e3t)ismyanswercorrect?

Question Number 188806    Answers: 2   Comments: 0

Find minimum value of 2x^2 +2xy+4y+5y^2 −x for x and y real numbers

Findminimumvalueof2x2+2xy+4y+5y2xforxandyrealnumbers

Question Number 188387    Answers: 2   Comments: 0

Question Number 188534    Answers: 1   Comments: 0

Question Number 188195    Answers: 0   Comments: 0

Question Number 188083    Answers: 1   Comments: 3

determine the value of b for which y=((−x)/3) +b meets the graph of y^2 =x^3 orthogonally

determinethevalueofbforwhichy=x3+bmeetsthegraphofy2=x3orthogonally

Question Number 188037    Answers: 1   Comments: 0

find (dy/dx) y=2x^(√x)

finddydxy=2xx

Question Number 188033    Answers: 2   Comments: 0

from first principle y=xInx find (dy/dx)

fromfirstprincipley=xInxfinddydx

Question Number 188017    Answers: 1   Comments: 0

Question Number 187844    Answers: 0   Comments: 0

Question Number 187837    Answers: 0   Comments: 0

Question Number 187458    Answers: 2   Comments: 0

Ω= ∫_0 ^( (π/2)) (( 2sin(x) − cos(x))/(sin(x) + cos (x))) dx = ? −−−−

Ω=0π22sin(x)cos(x)sin(x)+cos(x)dx=?

Question Number 187053    Answers: 1   Comments: 0

How do you make a curve y=ax^3 +bx^2 +cx+d with a critical point of (1,0) and (−2,27) ?

Howdoyoumakeacurvey=ax3+bx2+cx+dwithacriticalpointof(1,0)and(2,27)?

Question Number 186752    Answers: 1   Comments: 0

lim_(x→+∞) (((√(x^3 −3x^2 +7))+((x^4 +3))^(1/3) )/( ((x^6 +2x^5 +1))^(1/4) −((x^7 +2x^3 +3))^(1/5) )) Please show work.

limx+x33x2+7+x4+33x6+2x5+14x7+2x3+35Pleaseshowwork.

Question Number 186473    Answers: 0   Comments: 0

A metallic cube is subjected to heating such that as the metal expands, the total surface area increases at rate of 6.25 cm^2 s^(−1) . Calculate the rate at which each side of the cube is increasing when the volume is 51.2 cm^3 .

Ametalliccubeissubjectedtoheatingsuchthatasthemetalexpands,thetotalsurfaceareaincreasesatrateof6.25cm2s1.Calculatetherateatwhicheachsideofthecubeisincreasingwhenthevolumeis51.2cm3.

Question Number 186445    Answers: 1   Comments: 0

Show that the function y = ∣ x −5 ∣ has no derivative at x = 5.

Showthatthefunctiony=x5hasnoderivativeatx=5.

Question Number 186027    Answers: 1   Comments: 0

Question Number 185453    Answers: 1   Comments: 9

Find the largest possible area of trapezoid that can be drawn under the x−axis so that one of its bases is on the x−axis and the other two vertices are on the curve y=x^2 −9

Findthelargestpossibleareaoftrapezoidthatcanbedrawnunderthexaxissothatoneofitsbasesisonthexaxisandtheothertwoverticesareonthecurvey=x29

Question Number 185000    Answers: 0   Comments: 0

A man walks along straight path at a speed 4 ft/s. A spotlight is located on the ground 20 ft from the path and is kept focused on the man. At what rate is spotlight rotating when the man is 15 ft from the point on the path closest to the light?

Amanwalksalongstraightpathataspeed4ft/s.Aspotlightislocatedontheground20ftfromthepathandiskeptfocusedontheman.Atwhatrateisspotlightrotatingwhenthemanis15ftfromthepointonthepathclosesttothelight?

Question Number 184819    Answers: 2   Comments: 0

For 0≤x≤1 , maximum value of f(x)=x(√(1−x+(√(1−x)))) is __

For0x1,maximumvalueoff(x)=x1x+1xis__

Question Number 184735    Answers: 0   Comments: 3

f(x,y)=((√(3xy^2 )))(((x^5 y^2 ))^(1/5) ) f^′ (x,y)=? f′′(x,y)=?

f(x,y)=(3xy2)(x5y25)f(x,y)=?f(x,y)=?

Question Number 184720    Answers: 1   Comments: 0

y=((√(3xy^2 )))(((x^5 y^2 ))^(1/5) ) y′=? y^(′′) =?

y=(3xy2)(x5y25)y=?y=?

Question Number 184175    Answers: 2   Comments: 0

Question Number 184040    Answers: 4   Comments: 0

Use implicit differentiation to find (d^2 y/dx^2 ) for siny = x

Useimplicitdifferentiationtofindd2ydx2forsiny=x

Question Number 183711    Answers: 1   Comments: 1

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