Volumes of solids Find the volume of the following solids. 47. The solid beneath the cylinder f ( x , y ) = e − x and above the region R = { ( x , y ) : 0 ≤ x ≤ ln 4 , − 2 ≤ y ≤ 2 }
Volumes of solids Find the volume of the following solids. 47. The solid beneath the cylinder f ( x , y ) = e − x and above the region R = { ( x , y ) : 0 ≤ x ≤ ln 4 , − 2 ≤ y ≤ 2 }
The graph shows the temperature T, in degrees Fahrenheit, of molten glass t seconds after it is removed from a kiln.
(0, 1500)
75
t
(a) Find
lim T.
oF
What does this limit represent?
| This is the natural temperature of glass.
This is the initial rate at which the glass is cooling.
O This is the temperature of the kiln.
This is the temperature of the room.
(b) Find lim T.
oF
What does this limit represent?
O This is the natural temperature of glass.
This is the initial rate at which the glass is cooling.
This is the temperature of the kiln.
This is the temperature of the room.
A simple pendulum of length L, has a
maximum angular displacement
e_max. At one point in its motion, its
kinetic energy is K = 3 J and its
potential energy is U = 4.2 J. When
the pendulum's angular velocity is
one-fourth its maximum value (0' =
%3D
O'_max/4), then its kinetic energy is:
Q7.) graph the two equations x+y= 0 , and y = - (x -1)²
and find the points in which the graphs intersect.
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