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Note that in each diagram, we use four rectangles to estimate the area under y = v(t) on the interval [0, 2], but the method by which the four rectangles' respective heights are decided varies among the three individual graphs. Think about how the heights of the rectangles in the left-most diagram are being chosen. Determine the value of S = A1 + A2 + A3 + A4 by evaluating the function y = v(t) at appropriately-chosen values and observing the width of each rectangle. Note, for example, that A3 = v(1) · = 2. = 1. S = Use the rectangles in the middle diagram to find the value of T = B1 + B2 + B3 +B4. T = Use the rectangles in the right-most diagram to find the value of U = C1 + C2 + C3 + C4.

Note that in each diagram, we use four rectangles to estimate the area under y = v(t) on the interval [0, 2], but the method by which the four rectangles' respective heights are decided varies among the three individual graphs. Think about how the heights of the rectangles in the left-most diagram are being chosen. Determine the value of S = A1 + A2 + A3 + A4 by evaluating the function y = v(t) at appropriately-chosen values and observing the width of each rectangle. Note, for example, that A3 = v(1) · = 2. = 1. S = Use the rectangles in the middle diagram to find the value of T = B1 + B2 + B3 +B4. T = Use the rectangles in the right-most diagram to find the value of U = C1 + C2 + C3 + C4.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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person walking along a straight path has her velocity in miles per hour at time t given by the function v(t) = 0.25t3 – 1.5t? + 3t + 0.25, for times in the interval 0 <t < 2. The graph of this function is also given in each of the three diagrams below. A mph 3. mph mph y=v(t) y=v(t) y=v(t) 2- 1+ 1 A4 A3 |A2 B4 B3 B2 |C4 |C3 |C2 hrs B1 hrs C1 hrs 1 2 1 1 2 A1
Transcribed Image Text:person walking along a straight path has her velocity in miles per hour at time t given by the function v(t) = 0.25t3 – 1.5t? + 3t + 0.25, for times in the interval 0 <t < 2. The graph of this function is also given in each of the three diagrams below. A mph 3. mph mph y=v(t) y=v(t) y=v(t) 2- 1+ 1 A4 A3 |A2 B4 B3 B2 |C4 |C3 |C2 hrs B1 hrs C1 hrs 1 2 1 1 2 A1
Note that in each diagram, we use four rectangles to estimate the area under y = v(t) on the interval [0, 2], but the method by which the four rectangles' respective heights are decided varies among the three individual graphs. Think about how the heights of the rectangles in the left-most diagram are being chosen. Determine the value of S = A1 + A2 + A3 + A4 by evaluating the function y = v(t) at appropriately-chosen values and observing the width of each rectangle. Note, for example, that Ag = v(1) · = 2 · = 1. S = Use the rectangles in the middle diagram to find the value of T = B1 + B2 + B3 + B4. T= Use the rectangles in the right-most diagram to find the value of U = C1 + C2 + C3 + C4. U = OnoDrive
Transcribed Image Text:Note that in each diagram, we use four rectangles to estimate the area under y = v(t) on the interval [0, 2], but the method by which the four rectangles' respective heights are decided varies among the three individual graphs. Think about how the heights of the rectangles in the left-most diagram are being chosen. Determine the value of S = A1 + A2 + A3 + A4 by evaluating the function y = v(t) at appropriately-chosen values and observing the width of each rectangle. Note, for example, that Ag = v(1) · = 2 · = 1. S = Use the rectangles in the middle diagram to find the value of T = B1 + B2 + B3 + B4. T= Use the rectangles in the right-most diagram to find the value of U = C1 + C2 + C3 + C4. U = OnoDrive
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