Wednesday

August 27, 2014

August 27, 2014

Posted by **Aric** on Sunday, February 20, 2011 at 11:50am.

2(x^2+y^2)^2 = 25(x^2-y^2)

it is at pt (3,1)

- Calculus - Verify? -
**Aric**, Sunday, February 20, 2011 at 11:59am:4(x² + y²)(2x + 2y dy/dx) = 25(2x - 2y dy/dx).

:4[(3)² + (1)²][2(3) + 2(1)dy/dx] = 25[2(3) - 2(1)dy/dx]

:4[9 + (1)][6 + 2 dy/dx] = 25[6 - 2 dy/dx]

:4[10][8 dy/dx] = 25[4 dy/dx]

Divide both sides by 10

:4[8 dy/dx] = 10[dy/dx]

:32[dy/dx] = 10 [dy/dx]

then I got dy/dx = 10/32

- Calculus - Verify? -
**Reiny**, Sunday, February 20, 2011 at 12:15pmYou messed up near the end

look at line

4[9 + (1)][6 + 2 dy/dx] = 25[6 - 2 dy/dx]

and then

4[10][8 dy/dx] = 25[4 dy/dx]

you added "unlike terms" inside the bracket

should have been

40[6+2dy/dx] = 25[6-2dy/dx]

240 + 80dy/dx = 150 - 50dy/dx

130dy/dx = -90

dy/dx = -90/130 = -9/13

the rest is easy.

- Calculus - Verify? -
**Aric**, Sunday, February 20, 2011 at 12:33pmtyvm <3

**Related Questions**

Calculus - Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+...

calculus - the curve with equation 2(x^2+y^2)^2=9(x^2-y^2) is called a ...

Calculus - Find the equation of the tangent line to the curve (a lemniscate) 2(x...

Calculus. I need help! - HARDER PARTS WAS 3(x^2+y^2)^2=26(y^2+y^2) Find the ...

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

Calculus [finding slope of tangent line] - Find the slope of the tangent line to...

Calculus - Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x...

Calculus - I have a two part question that pertains to a curve (r(x)) and its ...