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Each person's blood pressure is different, but there is a range of blood pressure values that is considered healthy. The function P(t) - 20 cos (5 t) + 100 models the blood pressure, P, in = transformations necessary to transform F(t) millimetres of mercury, at time t, in seconds, of a person at rest. Describe the cos(t) into the function P(t). =

Each person's blood pressure is different, but there is a range of blood pressure values that is considered healthy. The function P(t) - 20 cos (5 t) + 100 models the blood pressure, P, in = transformations necessary to transform F(t) millimetres of mercury, at time t, in seconds, of a person at rest. Describe the cos(t) into the function P(t). =

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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Each person's blood pressure is different, but there is a range of blood pressure values that is considered healthy. The function P(t) = = 20 cos (5 t) + 100 models the blood pressure, P, in O millimetres of mercury, at time t, in seconds, of a person at rest. Describe the transformations necessary to transform F(t) = cos(t) into the function P(t). O O - O - 1. Reflection across the x-axis. 2. Vertical stretch by a factor of 20. 3. Horizontal compression by a factor of 4. Shift 100 units right. 1. Reflection across the t-axis. 2. Vertical stretch by a factor of 20. 3. Horizontal compression by a factor of 4. Shift 100 units up. 1. Reflection across the x-axis. 2. Vertical stretch by a factor of 20. 3. Horizontal stretch by a factor of 4. Shift 100 units up. 5π 3 1. Reflection across the t-axis. 2. Vertical stretch by a factor of 20. 3. Horizontal stretch by a factor of 3 5T 4. Shift 100 units right. 5π 3 20/15 3 5π ▸
Transcribed Image Text:Each person's blood pressure is different, but there is a range of blood pressure values that is considered healthy. The function P(t) = = 20 cos (5 t) + 100 models the blood pressure, P, in O millimetres of mercury, at time t, in seconds, of a person at rest. Describe the transformations necessary to transform F(t) = cos(t) into the function P(t). O O - O - 1. Reflection across the x-axis. 2. Vertical stretch by a factor of 20. 3. Horizontal compression by a factor of 4. Shift 100 units right. 1. Reflection across the t-axis. 2. Vertical stretch by a factor of 20. 3. Horizontal compression by a factor of 4. Shift 100 units up. 1. Reflection across the x-axis. 2. Vertical stretch by a factor of 20. 3. Horizontal stretch by a factor of 4. Shift 100 units up. 5π 3 1. Reflection across the t-axis. 2. Vertical stretch by a factor of 20. 3. Horizontal stretch by a factor of 3 5T 4. Shift 100 units right. 5π 3 20/15 3 5π ▸
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