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DLS
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Find the equation to the tangent to the curve x^2+3y3=0 which is parallel to the line y=4x5
 one year ago
 one year ago
DLS Group Title
Find the equation to the tangent to the curve x^2+3y3=0 which is parallel to the line y=4x5
 one year ago
 one year ago

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DLS Group TitleBest ResponseYou've already chosen the best response.0
\[\LARGE \frac{dy}{dx}=2x+3=4\] \[\LARGE x=\frac{1}{2},y=\frac{11}{12}\]
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
\[\LARGE (y\frac{11}{12})=4(x+\frac{1}{2})\]
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
why x=1/2 ?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
other than that, your process is good
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
12y48x+13=0 is what im getting :O
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
y = 5/4 y+5/4 = 4(x1/2) this is a line equation ... so if form does not matter this would suffice
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
otherwise, algrbrate it to your hearts content
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
.5^2 + 3(.5)  3 .25 + 1.5  3 1.75  3 = 1.25 = 5/4
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
since x = 1/2 and NOT 1/2 you have to reevaluate the y you found
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
arent we substituting x=1/2 in the equation of curve?
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
yes, which is what i just did
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
okay! thanks! got it
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
\[\frac14+\frac32\frac31\] \[\frac14+\frac64\frac{12}4\] \[\frac{712}4\]
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
@amistre64 sorry,it was 3Y and not 3X that is how I got 11/12...
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
it is x squared so 1/2 and 1/2 both are same that is why i didnt change the y component
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
ohh then your derivative might need some looking at: x^2+3y3=0 2x +3y' = 0 y' = 2x/3 = 4 x = 12/2 = 6
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
(6)^2+3y3=0 33+3y=0, when y = 11
 one year ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
y+11 = 4(x+6) would be the tangent line
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.0
CORRECT NOW! :D
 one year ago
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