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[INateI]

A curve has d2y/dx2= 8x and the tangent at (-2, 5) makes an angle of 45degrees with the x axis. Find the equation of the curve?? Maths in Foscus 2 extension 1 excercise 2.12 qu 15.

 

[morganforrest]

A curve has d2y/dx2= 8x and the tangent at (-2, 5) makes an angle of 45degrees with the x axis. Find the equation of the curve?? Maths in Foscus 2 extension 1 excercise 2.12 qu 15.

dy/dx at x=-2 must equal 1 since m=tan45

Integrate 8x to get 4x^2 + C

Use the previosuly stated condition to discover C = -15

Integrate again to find the equation of the curve:
y= 4/3.x^3 - 15x + C

Use your conditions... when x=-2 y=5 to discover the value of C as -14.3333etc

Hence the equation of the curve is y= 4/3.x^3 - 15x - 43/3

:wave:

 

[tanjin]

dy/dx at x=-2 must equal 1 since m=tan45

Integrate 8x to get 4x^2 + C

Use the previosuly stated condition to discover C = -15

Integrate again to find the equation of the curve:
y= 4/3.x^3 - 15x + C

Use your conditions... when x=-2 y=5 to discover the value of C as -14.3333etc

Hence the equation of the curve is y= 4/3.x^3 - 15x - 43/3

And this is why I do general.

 

[morganforrest]

And this is why I do general.

And this wasn't even hard!!

 

[tanjin]

And this wasn't even hard!!

Oh, shup Morgan. 'sif i was supposed to know that!

Numbers scare me.

 

[morganforrest]

Oh, shup Morgan. 'sif i was supposed to know that!

Numbers scare me.

35457451687561567453475368534533456393645354574516875615674534753685345334563936453545745168756156745347536853453345639364535457451687561567453475368534533456393645354574516875615674534753685345334563936453545745168756156745347536853453345639364535457451687561567453475368534533456393645354574516875615674534753685345334563936453545745168756156745347536853453345639364535457451687561567453475368534533456393645354574516875615674534753685345334563936453545745168756156745347536853453345639364535457451687561567453475368534533456393645354574516875615674534753685345334563936453545745168756156745347536853453345639364535457451687561567453475368534533456393645

I <3 Spam :wave:

Beginning timing how long it takes for this to be deleted!!!

 

[tanjin]

I <3 Spam :wave:

 

[INateI]

thanks heaps