(a)
The distance travelled by the engine using the left-endpoint values LRAM.
(a)
Answer to Problem 16E
The total distance travelled is 87 inch.
Explanation of Solution
Given information:
The velocity of a model train engine moving along a track for 10 sec table as shown below,
Formula used:
The rectangle approximation method is used.
Calculation:
For left-hand point rectangle approximation method (LRAM), area is divided into rectangles. Total time is divided into ten equal intervals and at left-hand point of interval calculates the velocity which is equal to height or rectangle then calculates the area or small rectangles then adds all the area. Total area gives the distance travelled. There is no need to measure height because there is no recorded data.
Conclusion:
The total distance travelled is 87 inch.
(b)
The distance travelled by the engine using the right-endpoint values RRAM.
(b)
Answer to Problem 16E
The total distance travelled is 87 inch.
Explanation of Solution
Given information:
The velocity of a model train engine moving along a track for 10 sec table as shown below,
Formula used:
The rectangle approximation method is used.
Calculation:
For right-hand point rectangle approximation method (RRAM), area is divided into rectangles. Total time is divided into ten equal intervals and at right-hand point of interval calculates the velocity which is equal to height of rectangle then calculates the
Area of small rectangles then adds all the area. Total area gives the distance travelled. There is no need to measure height because we have recorded data.
Conclusion:
The total distance travelled is 87 inch.
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Precalculus (10th Edition)
Calculus & Its Applications (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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