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Question-66602




Question Number 66602 by aliesam last updated on 17/Aug/19
Commented by Rio Michael last updated on 17/Aug/19
16) let y = x^3     ⇒  (dy/dx) = 3x^2    (dy/dx)∣_(x = −1)  = 3  when x = −1  , y = −1  hence pt  (−1,−1)   equation   y = mx + c   −1 = 3(−1) + c   c = 2   equation ;   y = 3x + 2  answer C    17)  ((9x^2 −4y^2 )/(3x + 2y)) = (((3x− 2y)(3x + 2y))/(3x + 2y))                              = 3x −2y                             = 3(2) −2(3)                                =0   D
16)lety=x3dydx=3x2dydxx=1=3whenx=1,y=1hencept(1,1)equationy=mx+c1=3(1)+cc=2equation;y=3x+2answerC17)9x24y23x+2y=(3x2y)(3x+2y)3x+2y=3x2y=3(2)2(3)=0D
Commented by aliesam last updated on 17/Aug/19
perfect
perfect
Commented by mathmax by abdo last updated on 17/Aug/19
15) the corrct answer is a)  16) equation of tangente at x=−1 is y=f^′ (−1)(x+1)+f(−1)  f(x)=x^3  ⇒f^′ (x)=3x^2  ⇒f^′ (−1)=3 and f(−1)=−1 ⇒  y=3(x+1)−1  ⇒y=3x+2  18)  { ((x−y+1=0 ⇒ { ((x−y=−1)),((7x+y=17)) :})),((7x+y=17)) :}  Δ=8≠0 ⇒the systeme has one solution   (a)
15)thecorrctanswerisa)16)equationoftangenteatx=1isy=f(1)(x+1)+f(1)f(x)=x3f(x)=3x2f(1)=3andf(1)=1y=3(x+1)1y=3x+218){xy+1=0{xy=17x+y=177x+y=17Δ=80thesystemehasonesolution(a)
Answered by Rio Michael last updated on 17/Aug/19
15) A
15)A
Commented by aliesam last updated on 17/Aug/19
thank you sir
thankyousir
Answered by Tanmay chaudhury last updated on 17/Aug/19
15) a  edited  16)(y+1)=3(−1)^2 (x+1)→y=3x+2   so C  17)((36−36)/(6+6))=0   d  18)y=x+1    y+7x=17   →x=2   y=3    so a  18)sinx+cosx+3  3+(1/( (√2)))≥(1/( (√2)))sin((π/4)+x)+3≥3−(1/( (√2)))  alwYs more than 2  so  b  19)y=x^3 −3x^2 +3x−1  wait for 19
15)aedited16)(y+1)=3(1)2(x+1)y=3x+2soC17)36366+6=0d18)y=x+1y+7x=17x=2y=3soa18)sinx+cosx+33+1212sin(π4+x)+3312alwYsmorethan2sob19)y=x33x2+3x1waitfor19

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