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(d) Calculate the value of y = f(6) using each of your two models. Write the two values here. (e) Do your two sinusoidal models produce the same value? Does the calculated value appear to agree with the value you estimated from the given graph? (f) Use your cosine model to approximate the height at t = -1.

(d) Calculate the value of y = f(6) using each of your two models. Write the two values here. (e) Do your two sinusoidal models produce the same value? Does the calculated value appear to agree with the value you estimated from the given graph? (f) Use your cosine model to approximate the height at t = -1.

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 answer parts d-f of this question

(4) In the given graph, the horizontal axis represents time, t. Use the graph to answer the following: (a) Construct a sinusoidal model y = f(t) that matches the graph using a sine function. (b) Use a cosine function to construct a sinusoidal model y = f(t) that matches the graph. (c) Estimate the value of yf(6) from the graph, and write it here. (d) Calculate the value of y = f(6) using each of your two models. Write the two values here. (e) Do your two sinusoidal models produce the same value? Does the calculated value appear to agree with the value you estimated from the given graph? (f) Use your cosine model to approximate the height at t = -1. (g) From part (f), is the value of your model y = f(-1) reasonable? Briefly explain how you know.
Transcribed Image Text:(4) In the given graph, the horizontal axis represents time, t. Use the graph to answer the following: (a) Construct a sinusoidal model y = f(t) that matches the graph using a sine function. (b) Use a cosine function to construct a sinusoidal model y = f(t) that matches the graph. (c) Estimate the value of yf(6) from the graph, and write it here. (d) Calculate the value of y = f(6) using each of your two models. Write the two values here. (e) Do your two sinusoidal models produce the same value? Does the calculated value appear to agree with the value you estimated from the given graph? (f) Use your cosine model to approximate the height at t = -1. (g) From part (f), is the value of your model y = f(-1) reasonable? Briefly explain how you know.
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