Use Table 1 to evaluate all integrals involved in any solutions of Problems 71 – 94. 92. Politics. The number of voters (in thousands) in a metropoli- tan area is given approximately by f ( t ) = 500 2 + 3 e − t t ≥ 0 where t is time in years. Find the average number of voters during the period from t = 0 to t = 10.
Use Table 1 to evaluate all integrals involved in any solutions of Problems 71 – 94. 92. Politics. The number of voters (in thousands) in a metropoli- tan area is given approximately by f ( t ) = 500 2 + 3 e − t t ≥ 0 where t is time in years. Find the average number of voters during the period from t = 0 to t = 10.
Solution Summary: The author explains how to find the average number of voters in a period of 10 years.
Use Table 1 to evaluate all integrals involved in any solutions of Problems 71–94.
92. Politics. The number of voters (in thousands) in a metropoli- tan area is given approximately by
f
(
t
)
=
500
2
+
3
e
−
t
t
≥
0
where t is time in years. Find the average number of voters during the period from t = 0 to t = 10.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
stacie is a resident at a medical facility you work at. You are asked to chart the amount of solid food that she consumes.For the noon meal today, she ate 1/2 of a 3 ounce serving of meatloaf, 3/4 of her 3 ounce serving of mashed potatoes, and 1/3 of her 2 ounce serving of green beans. Show in decimal form how many ounces of solid food that Stacie consumed
Find the area of the shaded region.
(a)
5-
y
3
2-
(1,4)
(5,0)
1
3
4
5
6
(b)
3 y
2
Decide whether the problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to
estimate the solution.
STEP 1: Consider the figure in part (a). Since this region is simply a triangle, you may use precalculus methods to solve this part of the problem. First determine the height of the triangle and the length of the triangle's base.
height 4
units
units
base
5
STEP 2: Compute the area of the triangle by employing a formula from precalculus, thus finding the area of the shaded region in part (a).
10
square units
STEP 3: Consider the figure in part (b). Since this region is defined by a complicated curve, the problem seems to require calculus. Find an approximation of the shaded region by using a graphical approach. (Hint: Treat the shaded regi
as…
No chatgpt pls will upvote Already got wrong chatgpt answer
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY