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S = 2.9375 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 = |

S = 2.9375 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 = |

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve for T and U

S = 2.9375 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
Transcribed Image Text:S = 2.9375 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
A person walking along a straight path has her velocity in miles per hour at timet 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. mph mph 3- mph y=v(t) y=v(t) y=v(t) 2- 2+ 1 A4 A3 A2 B4 B3 B2 C4 |C3 |C2 hrs B1 hrs C1 hrs 1 1 2 1 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 = rectangle. Note, for example, that A3 = v(1) · = 2. = v(t) at appropriately-chosen values and observing the width of each = 1. 2
Transcribed Image Text:A person walking along a straight path has her velocity in miles per hour at timet 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. mph mph 3- mph y=v(t) y=v(t) y=v(t) 2- 2+ 1 A4 A3 A2 B4 B3 B2 C4 |C3 |C2 hrs B1 hrs C1 hrs 1 1 2 1 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 = rectangle. Note, for example, that A3 = v(1) · = 2. = v(t) at appropriately-chosen values and observing the width of each = 1. 2
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