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Creating the Left-Hand Sum Suppose that an object moving along a straight line path has its velocity in feet per second at time t in T seconds given by v(t) = (+- 3)2 + 2. We will approximate this area by creating the left-hand sum by constructing four rectangles to approximation the area. To create the left-hand sum you need to evaluate the function at each of the left-hand endpoints of the subintervals. On the graph, sketch the four rectangles whose areas you need to find. Then, enter the the function value at the left hand endpoint and the areas of each rectangle below. Interval v(a) Area Got it? [a,b] Keep trying! Keep trying! [.] Keep trying! Keep trying! What is the approximation of the area using the left- hand endpoints?

Creating the Left-Hand Sum Suppose that an object moving along a straight line path has its velocity in feet per second at time t in T seconds given by v(t) = (+- 3)2 + 2. We will approximate this area by creating the left-hand sum by constructing four rectangles to approximation the area. To create the left-hand sum you need to evaluate the function at each of the left-hand endpoints of the subintervals. On the graph, sketch the four rectangles whose areas you need to find. Then, enter the the function value at the left hand endpoint and the areas of each rectangle below. Interval v(a) Area Got it? [a,b] Keep trying! Keep trying! [.] Keep trying! Keep trying! What is the approximation of the area using the left- hand endpoints?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Creating the Left-Hand Sum Suppose that an object moving along a straight line path has its velocity in feet per second at time t in T seconds given by v(t) =(t- 3)2 + 2. We will approximate this area by creating the left-hand sum by constructing four rectangles to approximation the area. To create the left-hand sum you need to evaluate the function at each of the left-hand endpoints of the subintervals. On the graph, sketch the four rectangles whose areas you need to find. Then, enter the the function value at the left hand endpoint and the areas of each rectangle below. -2- Interval v(a) Area Got it? [a,b] Keep trying! Кeep trying! [.] Keep trying! Keep trying! What is the approximation of the area using the left- hand endpoints?
Transcribed Image Text:Creating the Left-Hand Sum Suppose that an object moving along a straight line path has its velocity in feet per second at time t in T seconds given by v(t) =(t- 3)2 + 2. We will approximate this area by creating the left-hand sum by constructing four rectangles to approximation the area. To create the left-hand sum you need to evaluate the function at each of the left-hand endpoints of the subintervals. On the graph, sketch the four rectangles whose areas you need to find. Then, enter the the function value at the left hand endpoint and the areas of each rectangle below. -2- Interval v(a) Area Got it? [a,b] Keep trying! Кeep trying! [.] Keep trying! Keep trying! What is the approximation of the area using the left- hand endpoints?
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