Explanation Given: The definite integral ∫ 2 1 0 ( 4 x − 3 ) d x . Concept Used: The definite integral ∫ a b f ( x ) d x represents the area between the graph of f ( x ) and x -axis on the interval [ a , b ] . The area that is bounded by the graph of f ( x ) above the x -axis is positive. The area that is bounded by the graph of f ( x ) below the x -axis is negative. Area of trianlge = 1 2 ( base ) ( height ) Calculation: In order tofind the exact value of the definite integral ∫ 2 1 0 ( 4 x − 3 ) d x , first rewrite it in increasing limit as &

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Chapter 4.3, Problem 22S

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The exact value of definite integral ∫210(4x−3) dx using geometry.

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Chapter 4.3, Problem 21S

Chapter 4.3, Problem 23S

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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

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The exact value of definite integral ∫ 2 1 0 ( 4 x − 3 ) d x using geometry.

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The exact value of definite integral ∫210(4x−3) dx using geometry.

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