Thursday

October 2, 2014

October 2, 2014

Posted by **Alex** on Saturday, November 3, 2012 at 8:46pm.

Find h as a function of y. If expression for dy/dx includes h, substitute the expression in terms of y for h. Write dy/dx in terms of y only.

Show that x=[(1+sqrt(1-y^2))/y]-sqrt(1-y^2) satisfies the differential equation you found to prove this equation generates the curve.

- calculus ? -
**Damon**, Saturday, November 3, 2012 at 8:53pmYou have not said anything about x in your problem statement so how do I know if dy/dx includes h?

- calculus -
**Alex**, Saturday, November 3, 2012 at 9:38pmThis is the problem that I got. I thought of that too. I think that it might just be a type? x is probably suppose to be h...

- calculus -
**Damon**, Saturday, November 3, 2012 at 11:21pmwell, y^2 + x^2 = 1 is a circle of radius 1

x = +/- (1-y^2)^.5

y = +/- (1-x^2)^.5

dy/dx = +/- .5 (1-x^2)^-.5 (-2x)

dy/dx = +/- x (1-x^2)^-.5

but we know x = +/- sqrt(1-y^2)

dy/dx = +/- sqrt(1-y^2)/y^2

**Answer this Question**

**Related Questions**

calculus - Given: y^2+h^2=1 Find h as a function of y. If expression for dy/dx ...

CALCULUS - The expression dy/dx = x(cbrt(y)) gives the slope at any point on the...

math 12 - sequences and series - Given the expression Sn = n^2 + 2n for the sume...

brief calculus - I found that c=1 but i can't get the other two questions The ...

Math(Please help) - 1) An expression that occurs in calculus in given. Reduce ...

Math(Please help) - 1) An expression that occurs in calculus in given. Reduce ...

Math - Mrs Harvey Wants To Put a 50 m Long Fence around Her Rectangular Garden...

math - Mrs Harvey Wants To Put a 50 m Long Fence around Her Rectangular Garden. ...

math - how would this equation look: y=f(x+3) when y=f(x)= x^2 would it look ...

calculus - a trapezoid is a quadrilateral with (only) two sides (called bases) ...