Answer:
The rate of change of the area when the bottom of the ladder (denoted by ) is at 36 ft. from the wall is the following:
Explanation:
The Area of the triangle is given by where (by using the Pythagoras' Theorem) and is the length of the base of the triangle or the distance between the bottom of the ladder and the wall.
The area is then
The rate of change of the area is given by its time derivative
Product rule
Chain rule
In here we can identify , and .
The result is then
High amplitude sound would be music, radio, or earthquakes.
Low amplitude sound would be a breeze or wind.
B. A copper wire with rubber insulation
Answer:
Explanation:
The formula to analyze motion in the vertical (or y) dimension is
which says that the motion in the y-dimension is equal to the magnitude of the A vector times the sin of the angle.
The formula to analyze motion in the horizontal (or x) dimension is
which says that the motion in the x-dimension is equal t the mignitude of the A vector times the cosine of the angle.
Many times this is used to find the upwards velocity and the horizontal velocity when an overall velocity is given with an angle of inclination.