Wednesday

April 16, 2014

April 16, 2014

Posted by **Robin** on Friday, June 28, 2013 at 10:18pm.

Let x = the distance covered by the south traveling car.

Let y = the distance covered by the west traveling car.

Let z = the distance between the cars.

In this problem you are given two rates. What are they? Express your answers in the form dx/dt, dy/dt, or dz/dt = a number. Enter your answers in the order of the variables shown; that is, dx/dt first, dy/dt, etc. next.

What rate are you trying to find?

Write an equation relating x and y . Note: In order for WeBWorK to check your answer you will need to write your equation so that it has no denominators. For example, an equation of the form 2/x = 6/y should be entered as 6x=2y or y = 3x or even y - 3x = 0.

Use the chain rule to differentiate this equation and then solve for the unknown rate, leaving your answer in equation form.

Substitute the given information into this equation and find the unknown rate. Express your answer in the form dx/dt or dy/dt = a number.

- Calculus -
**Steve**, Saturday, June 29, 2013 at 5:11pmx = 60t

y = 25t

z = √(x^2+y^2) = 65t

All that chain rule stuff is irrelevant here, since dz/dt = a constant.

**Related Questions**

calculus - Two cars start moving from the same point. One travels south at 28mi/...

Algebra - Two cars start at the same point at Alexandria, verginia, and travel 2...

Algebra - Two cars start at the same point at Alexandria, verginia, and travel ...

Physics/Math - Two cars, 127 miles apart, start moving towards each other at the...

calculus - Two cars start from the same point at the same time. One travels ...

Physics - Two cars start from the same place at the same time. After two hours, ...

Phsyics - Two cars start from the same place at the same time. After two hours, ...

physics - Two cars collide head on and stick together. The one moving East was ...

math - Two runners start moving from the same point A on a circular track but in...

Physics - Two identical cars (m = 1350 kg) are traveling at the same speed of 28...