Saturday

October 25, 2014

October 25, 2014

Posted by **Equihua** on Friday, January 4, 2013 at 2:21pm.

A. Find the equation that relates the total length of the elastic x to the distance y that the button has moved.

B. You pull down the button at a constant 3cm/sec. Find the rate at which the length of the elastic is increasing when it is 12cm long.

- calculus -
**Steve**, Friday, January 4, 2013 at 2:36pmeach side of the elastic is the hypotenuse of a triangle with legs 5/2 and y, so

x = 2√(2.5^2 + y^2)

dx/dt = 2y/√(2.5^2+y^2) dy/dt

when x=12, y=5.45, so

dx/dt = 2(5.45)/6 (-3) = -1/5.45 = -0.18 cm/s

**Answer this Question**

**Related Questions**

Calculus - A piece of elastic is attached to two nails on a flat board, with a ...

calculus - 18) The demand equation is x + 1/6p - 10+0. Compute the elasticity of...

Calculus (demand) - 18) The demand equation is x + 1/6p - 10+0. Compute the ...

college - A 3.2 kg block is hanging stationary from the end of a vertical spring...

Physics - A 0.25-kg ball is attached to a 26-cm piece of string. The ball is ...

honors physics - A 3.2 kg block is hanging stationary from the end of a vertical...

physics - A force of 50.0N is used to stretch an elastic so that it had 40.0 J ...

Physics - A 3.2 kg block is hanging stationary from the end of a vertical spring...

College Algebra - A carpenter is cutting a 3ft by 4ft elliptical sign from a 3ft...

physics - A 2.8-kg block is hanging stationary from the end of a vertical spring...