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Mathematics 16 Online
OpenStudy (anonymous):

If the line y= 4x+3 is tangent to the curve y=x^2+c, then c is...?

OpenStudy (anonymous):

the gradient of the tangent is \[y'=2x\] and the gradient of the line is 4 >>>equate this two to solve for x

OpenStudy (anonymous):

So, it would be 2? @Jonask

OpenStudy (anonymous):

yes,so now you need to find the y-value by plugging x=2 into the tangelnt line

OpenStudy (anonymous):

Okay, which is 11?

OpenStudy (anonymous):

yes now to find c,you need to use the point (2,11) into the curve :)

OpenStudy (anonymous):

Thanks so much!!

OpenStudy (anonymous):

your welcom,did u find c?

OpenStudy (anonymous):

7?

OpenStudy (anonymous):

yes thats perfect ...welldone

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