(c) Use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate int_{2}^{12} L(t) dt. Using correct units, explain the meaning of int_{2}^{12} L(t) dt in the context of this problem. d) For 0 ? t < 6, 5 dollars are collected from each car entering the parking lot. For 6 ? t ? 12, 8 dollars are collected from each car entering the parking lot. How many dollars are collected from the cars entering the parking lot from time t = 0 to time t = 12 ? Give your answer to the nearest whole dollar.
Added by Valeria L.
Close
Step 1
It works by dividing the area under the curve of the function into trapezoids and then adding up the areas of these trapezoids. The data in the table is not provided in the question, but assuming it represents the function L(t) at different time points, we can Show more…
Show all steps
Your feedback will help us improve your experience
Kenny Mesadieu and 91 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve each problem. The cost of parking a car at an airport hourly parking lot is $\$ 3$ for the first half-hour and $\$ 2$ for each additional half-hour or fraction of a half-hour. Graph the function $f$ that models the cost of parking a car for $x$ hours over the interval (0, 2]
Graphs and Functions
Graphs of Basie Functions
Solve each problem. See Example 4. The cost of parking a car at an airport hourly parking lot is $\$ 3$ for the first half-hour and $\$ 2$ for each additional half-hour or fraction of a half hour. Graph the function $f$ that models the cost of parking a car for $x$ hours over the interval $(0,2]$
Graphs of Basic Functions
Use Table II to evaluate all integrals involved in any solutions. Marketing. After test marketing a new high-fiber cereal, the market research department of a major food producer estimates that monthly sales (in millions of dollars) will grow at the monthly rate of $$S^{\prime}(t)=\frac{t^{2}}{(1+t)^{2}}$$ $t$ months after the cereal is introduced. If we assume 0 sales at the time the cereal is introduced, find $S(t),$ the total sales $t$ months after the cereal is introduced. Find the total sales during the first 2 years that the cereal is on the market.
Additional Integration Topics
Other Integration Methods
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD