v(t) + R₁ = 1 ohm W R2 = 1 ohm www i1(t) 0000 L = 2H i2(t) C 1F + vc(t)

A mouse on a tightrope is moving such that its position relative to some fixed point is given by x(t)=−2/3t^3+9t^2−36t+18 where x is measured in centimeters and tt is measured in seconds.Write an expression for the mouse's velocity. v(t)=v(t)=  What is the mouse's velocity when t=4t=4? cm/s Write an expression for the mouse's acceleration. a(t)=a(t)=   What is the mouse's acceleration when t=4t=4? cm/s2

Suppose you are going hiking and over the course of your trip, your velocity at time t hours is given by the function v(t) = square root of (4 − (t − 2)2) kilometers per hour. The trip takes you 4 hours. How many kilometers is the hike?

solve this x(dv/dx)= (1-4v2)/(3v)