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Find the slope of the tangent line to the curve sqrt(3x +3y) +sqrt(2xy) =11.5
at points (4,5)
 one year ago
 one year ago
Find the slope of the tangent line to the curve sqrt(3x +3y) +sqrt(2xy) =11.5 at points (4,5)
 one year ago
 one year ago

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cinarBest ResponseYou've already chosen the best response.0
take the derivative and set it 0
 one year ago

cutie5507Best ResponseYou've already chosen the best response.0
im stuck on getting the deriviative
 one year ago

cinarBest ResponseYou've already chosen the best response.0
1/2(3x+3y)^(1/2)(3+3y')+1/2(2xy)^(1/2)(2y+2xy')=0
 one year ago

cinarBest ResponseYou've already chosen the best response.0
sub x=4 and y=5 find y'=m
 one year ago

cinarBest ResponseYou've already chosen the best response.0
after found m use this formula and write the eq. yy1=m(xx1) y1=5 x1=4
 one year ago

cinarBest ResponseYou've already chosen the best response.0
\[\frac{1}{2}(3x+3y)^{1/2}(3+3y')+\frac{1}2 (2xy)^{1/2}(2y+2xy')=0\]
 one year ago

cutie5507Best ResponseYou've already chosen the best response.0
i dont think im getting the right answer what did you get as the answer?
 one year ago

cinarBest ResponseYou've already chosen the best response.0
\[y'=m=\frac{4\sqrt{3}2\sqrt{10}}{2\sqrt{10}5\sqrt{3}}\]
 one year ago

cutie5507Best ResponseYou've already chosen the best response.0
its showing as incorrect what was the exact answer?
 one year ago

cutie5507Best ResponseYou've already chosen the best response.0
i dont have options, but the assignment is online, so it tells me if he answer is correct or not
 one year ago

cinarBest ResponseYou've already chosen the best response.0
\[y=\frac{13}{50}x+\frac{53}{10}\]
 one year ago

cinarBest ResponseYou've already chosen the best response.0
or \[y4=(\frac{4\sqrt{3}2\sqrt{10}}{2\sqrt{10}5\sqrt{3}})(x5)\]
 one year ago

cinarBest ResponseYou've already chosen the best response.0
is it saying round your answer or exact
 one year ago

cinarBest ResponseYou've already chosen the best response.0
\[y=\frac{4\sqrt{3}2\sqrt{10}}{2\sqrt{10}5\sqrt{3}}x5\frac{4\sqrt{3}2\sqrt{10}}{2\sqrt{10}5\sqrt{3}}+4\]
 one year ago

cutie5507Best ResponseYou've already chosen the best response.0
wht would the slope be?
 one year ago

cinarBest ResponseYou've already chosen the best response.0
\[y=\frac{15\sqrt{2}+2\sqrt{15}}{12 \sqrt{2}+2\sqrt{15}}x+5\frac{15\sqrt{2}+2\sqrt{15}}{12 \sqrt{2}+2\sqrt{15}}+4\]
 one year ago

cutie5507Best ResponseYou've already chosen the best response.0
its sill coming up as incorrect
 one year ago

cinarBest ResponseYou've already chosen the best response.0
\[y=\frac{\sqrt{10}+4\sqrt{3}}{\sqrt{10}+4\sqrt{3}}x+5\frac{\sqrt{10}+4\sqrt{3}}{\sqrt{10}+4\sqrt{3}}+4\]
 one year ago

cutie5507Best ResponseYou've already chosen the best response.0
still coming up incorrect :/
 one year ago

cinarBest ResponseYou've already chosen the best response.0
\[y=\frac{12\sqrt{3}+15}{2\sqrt{3}+12}x+\frac{60\sqrt{3}75}{2\sqrt{3}+12}+4\]
 one year ago
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