Concept explainers
The area using five rectangles of equal width and height.
Answer to Problem 4E
The value of x is 46.25.
Explanation of Solution
Given information:
The x-axis with velocity
Formula used:
The midpoint rectangular approximation method (MRAM) is used.
Calculation:
Since v is function of t area under the curve v (t) gives the particle position. By method of midpoint rectangular approximation method (MRAM), area is divided into rectangles. Total time is divided into five equal intervals and at midpoint of interval calculates the velocity which is equal to height of rectangle then calculates the area of small rectangles then adds all the area.
Add all areas to get the position of particle at
Conclusion:
The value of x is 46.25.
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Calculus: Early Transcendentals (2nd Edition)
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