Find the total input and output (I-O) in cubic centimeters ( cm 3 ) * for a patient. By how much does the input of fluids exceed the output? Input: 300 cm 3 , 550 cm 3 , 150 cm 3 ,75 cm 3 , 150 cm 3 , 450 cm 3 , 250 cm 3 Output: 325 cm 3 , 150 cm 3 , 525 cm 3 , 250 cm 3 , 175 cm 3
Find the total input and output (I-O) in cubic centimeters ( cm 3 ) * for a patient. By how much does the input of fluids exceed the output? Input: 300 cm 3 , 550 cm 3 , 150 cm 3 ,75 cm 3 , 150 cm 3 , 450 cm 3 , 250 cm 3 Output: 325 cm 3 , 150 cm 3 , 525 cm 3 , 250 cm 3 , 175 cm 3
Solution Summary: The author calculates the total input, total output, and quantity of fluids exceeding the output for a patient.
Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later?
Step 1
Using the diagram of a right triangle given below, the relation between x, y, and z is
z²
= x²+
+12
x
Step 2
We must find dz/dt. Differentiating both sides and simplifying gives us the following.
2z
dz
dt
dx
2x.
+2y
dt
dx
dy
dz
x
+y
dt
dt
dt
2z
dy
dt
×
dx
(x+y
dt
dy
dt
An elastic rope is attached to the ground at the positions shown in the picture. The rope is being pulled up along the dotted line. Assume the units are meters.
9
ground level
Assume that x is increasing at a rate of 3 meters/sec.
(a) Write as a function of x: 0=
(b) When x=10, the angle is changing at a rate of
rad/sec.
(c) Let L be the the left hand piece of rope and R the right hand piece of rope. When x=10, is the rate of change of L larger than the rate of change of R?
○ Yes
○ No
At a local college, for sections of economics are taught during the day and two sections are taught at night. 70 percent of the day sections are taught by full time faculty. 20 percent of the evening sections are taught by full time faculty. If Jane has a part time teacher for her economics course, what is the probability that she is taking a night class?
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