Thursday

August 28, 2014

August 28, 2014

Posted by **Anonymous** on Sunday, November 18, 2007 at 12:49am.

Work...

4(1)-3=1

y-1=1(x-1)

y=x

- calculus -
**Reiny**, Sunday, November 18, 2007 at 1:26am4x - 3 is your slope, so it is the derivative.

then dy/dx = 4x + 3, integrate to get

y = 2x^2 + 3x + k

plug in (1,1) into that to get k, and you are done!

- calculus -
**Anonymous**, Sunday, November 18, 2007 at 11:43amwhy would I solve for the constant? I get k=-4. What is meant by curve?

- calculus -
**Reiny**, Sunday, November 18, 2007 at 3:01pmWhen they say "find the curve" they mean find the equation of function whose graph would be that curve.

your equation y = 2x^2 + 3x - 4 would graph to be a parabola, and a parabola is a curve.

As to the constant, remember that if you differentiate an equation like

y = 2x^2 + 3x - 4

you get y' = 4x + 3 - 0

so when we "anti-differentiate" that we really don't know what the value of the constant was, because its derivative would be zero no matter what the number was.

That is why we include a constant value of c or k to allow for that. Once we sub in the given point we then know the value of that constant

**Related Questions**

12th Grade Calculus - 1. a.) Find an equation for the line perpendicular to the ...

calculus - 1. Given the curve a. Find an expression for the slope of the curve ...

Calculus Help Please!!! Check - A curve passes through the point (0, 2) and has...

calculus - A curve passes through the point (1,-11) and it's gradient at any ...

calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...

calculus - there are two tangents lines to the curve f(x) = 3x^2 that pass ...

Calculus - The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) ...

calculus - Determine the equation of a curve in the xy-plane that passes through...

Calculus - Find the equation of the curve passing through P (1,2) whose slope is...

calculus - Consider the curve given by the equation y^3+3x^2y+13=0 a.find dy/dx...