Homework 4 MTTT

1. The electric power in watts(W) produced by a source is given by � = 3� − ��

Where r is the resistance in ohms(Ω) in the circuit. Find

the value of r that provides the maximum power.

2. A particle moves along a straight line according to

� = 1

3 � − 3 + 5

Where s is the distance in meters and t is the time in

seconds. Find the approximate distance covered by the

particle between 3.00 s and 3.05 s.

3. � = sin�(2� − 3) ���� ��

4) � = cos (5�� + �) ���� ��