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mathcalculus
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help! Given determine the points where
(a) the curve intercepts the axis;
(b) the tangent line to the curve is horizontal.
 11 months ago
 11 months ago
mathcalculus Group Title
help! Given determine the points where (a) the curve intercepts the axis; (b) the tangent line to the curve is horizontal.
 11 months ago
 11 months ago

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mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
i believe that the 2nd answer is (5,25) right? @dlxhazedxlb @hihihii
 11 months ago

hihihii Group TitleBest ResponseYou've already chosen the best response.1
yup! 2nd answer is (5,25) good job!
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
how about the first?
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
im not sure how to do this one
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
@hihihii
 11 months ago

hihihii Group TitleBest ResponseYou've already chosen the best response.1
in order to find where the curve intersects the xaxis, you have to set the original function equal to 0. 1x^2+ 10x= 0
 11 months ago

hihihii Group TitleBest ResponseYou've already chosen the best response.1
x^210x=0 x(x10)=0 x=0, x=10 to find the points, plug 0 and 10 back into the original equation
 11 months ago

hihihii Group TitleBest ResponseYou've already chosen the best response.1
0+0=0 (0,0) 1(10)^210(10)=0 (10,0) both the y values are 0 because that's where it crosses the xaxis
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
@hihihii i see where you got x=0 but how'd you get 10?
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
i got x+10
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
and also which is the correct answer to A?
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
(0,0) or (10,0)? which one do i pick?
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
@hihihii
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
x^210x=0 ??
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
hello hello hello
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
@satellite73 @SithsAndGiggles would anyone kindly like to help?
 11 months ago

SithsAndGiggles Group TitleBest ResponseYou've already chosen the best response.0
\[f(x)=x^2+10x\] Finding where the curve intercepts the xaxis is the same as solving for the roots of the equation: \[x^2+10x=0\] The tangent line to the curve is horizontal when the slope of the tangent line is 0. Hence solve for x in \(f'(x)=0\): \[f'(x)=2x+10=0\]
 11 months ago
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