Waste Disposal When organic waste is dumped into a pond, the oxidization process that takes place reduces the pond’s oxygen content. However, in time, nature will restore the oxygen content to its natural level. Suppose that the oxygen content t days after organic waste has been dumped into a pond is given by f ( t ) = 100 ( t 2 + 10 t + 100 t 2 + 20 t + 100 ) percent of its normal level. Find the average content of oxygen in the pond over the first 10 days after organic waste has been dumped into it.
Waste Disposal When organic waste is dumped into a pond, the oxidization process that takes place reduces the pond’s oxygen content. However, in time, nature will restore the oxygen content to its natural level. Suppose that the oxygen content t days after organic waste has been dumped into a pond is given by f ( t ) = 100 ( t 2 + 10 t + 100 t 2 + 20 t + 100 ) percent of its normal level. Find the average content of oxygen in the pond over the first 10 days after organic waste has been dumped into it.
Solution Summary: The author explains that the average content of oxygen in the pond over the first 10 days by given function is 80.68%.
Waste Disposal When organic waste is dumped into a pond, the oxidization process that takes place reduces the pond’s oxygen content. However, in time, nature will restore the oxygen content to its natural level. Suppose that the oxygen content t days after organic waste has been dumped into a pond is given by
f
(
t
)
=
100
(
t
2
+
10
t
+
100
t
2
+
20
t
+
100
)
percent of its normal level. Find the average content of oxygen in the pond over the first 10 days after organic waste has been dumped into it.
find the zeros of the function algebraically:
f(x) = 9x2 - 3x - 2
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
Chapter 6 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
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