Saturday

December 20, 2014

December 20, 2014

Posted by **Hannah** on Monday, March 5, 2012 at 10:43am.

y = Ce^x

What am I supposed to do here? Can someone point me in the right direction?

- Calculus -
**Steve**, Monday, March 5, 2012 at 1:11pmexpress C as a function of x and y:

C = ye^-x

find y' implicitly

y'e^-x - ye^-x = 0

y' = y

so, for any point on the curve Ce^x, the slope is just y

On a perpendicular trajectory, the slope is -1/y

dy/dx = -1/y

y*dy = -dx

y^2/2 = -x+c

Thus parabolas opening to the left are orthogonal to the exponential curves.

**Answer this Question**

**Related Questions**

Pre-Calculus - 1) Use a graphing utility to obtain the graph of the function. ...

English expression - How many are there in Mi-na's family? There are five in her...

Basic Algebra - $5130 is to be divided equally among the members of a family ...

Basic Algebra - $5130 is to be divided equally among the members of a family ...

English - Let's survey your family members' TV viewing habits. 1. Find out TV ...

Calculus - Orthogonal Trajectories - Find the orthogonal trajectories of the ...

English expression - 1. How many are there in your family? 2. How many people ...

precalculus - Use the Intermediate Value Theorem and a graphing utility to find...

Pre-Calculus - I transfered classes and they use graphing calculators. I've ...

Math - In a family six members eat meat; five members eat fish while two eat ...