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Calculus1 21 Online
OpenStudy (anonymous):

ive been struggling with the second question. please help. one gold madal for sure!

OpenStudy (anonymous):

OpenStudy (amistre64):

what was your derivative?

OpenStudy (anonymous):

6x^2-18x-108

OpenStudy (amistre64):

thats not it ....

OpenStudy (anonymous):

its not? I used this equation for solving the first question

OpenStudy (amistre64):

\[3(\frac{2}{3})x^{\frac23-\frac33}-2(1)x^0\]

OpenStudy (amistre64):

\[2x^{-1/3}-2=0~:~or~undefined\]

OpenStudy (amistre64):

what are the critical points of interest?

OpenStudy (anonymous):

I am sorry ! i posted the wrong question

OpenStudy (anonymous):

OpenStudy (anonymous):

this one!

OpenStudy (amistre64):

then 6 18 108 look fine when does that quadratic match the slope of -3? when 6x^2 -18x -111 = 0 right?

OpenStudy (amistre64):

x^2 -3x = 111/6 x^2 -3x +9/4 = 111/6 + 9/4 (x - 3/2)^2 = 111/6 + 9/4 x = 3/2 +- sqrt(111/6 + 9/4)

OpenStudy (amistre64):

so, about -3 and 6 is correct, but they prolly want exact values ... with the sqaure roots

OpenStudy (amistre64):

and my 111 is offf, make that 105

OpenStudy (anonymous):

Thank you, I did use quadric form to solve it. -3 and 6 are correct right?

OpenStudy (anonymous):

what do you mean squre root?

OpenStudy (amistre64):

the values of the zeros are irrational numbers. does your program expect you to input them as an approximated decimal? or as an exact representation using the square roots?

OpenStudy (anonymous):

I have no idea! I have tried exact num and appricmated number tho :/

OpenStudy (anonymous):

i tired 6.055 and -3.055

OpenStudy (amistre64):

6x^2 - 18x - 108 = -3 6x^2 - 18x - 105 = 0 3 (2x^2 - 6x - 35) = 0 2x^2 - 6x - 35 = 0 by using the quadratic formula \[x=\frac{6\pm\sqrt{36-4(-35)(2)}}{2*2}\] \[x=\frac{6\pm\sqrt{316}}{4}\] \[x=\frac{6\pm2\sqrt{79}}{4}\] \[x=\frac{3\pm\sqrt{79}}{2}\]

OpenStudy (amistre64):

try: (3+(79)^(1/2))/2 ,(3-(79)^(1/2))/2 and see if it takes it

OpenStudy (amistre64):

or if you have a sqrt button along the side, you might have to use that instead of ^(1/2)

OpenStudy (amistre64):

and your approximates are a bit high .... try -2.9941 , 5.9941

OpenStudy (amistre64):

-2.9441, 5.9441 that is

OpenStudy (anonymous):

Its not worki g eigther! :/

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