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Problem 5 Easy Difficulty

Figure 1 was recorded by an instrument operated by the California Department of Mines and Geology at the University Hospital of the University of Southern California in Los Angeles. Use it to estimate the range of the vertical ground acceleration function at USC during the Northridge earthquake.

Answer

From Figure 1 in the text, the lowest point occurs at about $(t, a)=(12,-85) .$ The highest point occurs at about (17,115)
Thus, the range of the vertical ground acceleration is $-85 \leq a \leq 115$. Written in interval notation, we get [-85,115]

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Video Transcript

figure one was recorded by an instrument operated by the California Department of Minds and Geology at University Hospital of USC in l. A. So it's going to take a look at this craft here. So here's a graph to get last night, you know, thirty seconds. Use it to estimate the range of the vertical ground acceleration function at USC during the Northridge Earthquake. Okay, range of the ground acceleration. Oh, I see. So looks like the range, um will be the set of all numbers that will be in the white component. And so you have number is ranging from Here's the minimum of function. Maybe about nativ e t. I would say Teo hundred fifty. No. Okay, so I'll see you at the range. So why it belongs from all inclusive. We said negative eighty, about one hundred fifty