Thursday

September 18, 2014

September 18, 2014

Posted by **Leanna** on Monday, November 29, 2010 at 8:57pm.

a) Find the time t at which the particle is farthest to the left. Justify your answer

I think you have to find the prime of this equation and then see when it is negative.

b) Find the value of the constant A for which x(t) satisfies the equation Ax"(t)+x'(t)+x(t)=0 for 0 is less than t which is less than 2 pi.

I have no idea how to even start this problem.

- Calculus - Still Need Help! Anyone! -
**bobpursley**, Monday, November 29, 2010 at 9:13pma. Find the derivative, set to zero

dx/dt= -e^-t * sint+ e^-tcost=0

tanT=1 check that.

t= PI/4 or 3PI/4

Now which will make it to the left (negative x)?

b. d^2x/dt^2= d/dx e^-t(cost-sint)

take that dervative.

Then, put in the equation given

ax" + x'+ x=0 and solve for A

**Answer this Question**

**Related Questions**

calculus - a particle moves along the y axis so that its position at any time t...

Calculus!!!! - A particle moves along the x-axis with position at time t given ...

Calculus - A particle moves along the x-axis with position at time t given by x(...

Calculus - A particle moves along the x-axis with position at time t given by x(...

Calculus (Answer Check) - A particle moves along the x-axis so that its velocity...

Calculus (Answer Check) - A particle moves along the x-axis so that its ...

Calculus (Answer Check) - Are my answers right? If they are wrong you dont have ...

Calculus - Two particles move along the x -axis. For 0 is less than or equal to ...

Calculus - Two particles move along the x -axis. For 0 is less than or equal to ...

Calc - A particle moves along the x-axis in such a way that it's position in ...