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course MTH 271
If the function y = .015 t2 + -1.7 t + 93 represents depth y vs. clock time t, then what is the average rate of depth change between clock time t = 13.9 and clock time t = 27.8? A: 24.52 and -454.9What is the rate of depth change at the clock time halfway between t = 13.9 and t = 27.8? A: -138.13
What function represents the rate r of depth change at clock time t? A: y = .015 t2 + -1.7 t + 93
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This function represents the depth, not the rate of depth change.
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What is the clock time halfway between t = 13.9 and t = 27.8, and what is the rate of depth change at this instant? A: 20.85, -138.13
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20.85 s is the midpoint clock time, but -138.13 doesn't appear to be related to the correct result.
You haven't explained how you got this result so I can't offer much help at this point.
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If the function r(t) = .193 t + -2.1 represents the rate at which depth is changing at clock time t, then how much depth change will there be between clock times t = 13.9 and t = 27.8? A: .5827, 3.2654
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These look like the values of r(t) at the two clock times. These are rates of depth change. The question asks for the change in depth.
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• What function represents the depth? A: r(t) = .193 t + -2.1
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This function is the rate of change of the depth, not the depth.
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• What would this function be if it was known that at clock time t = 0 the depth is 130 ? A: 2.1, 22.99
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You haven't answered most of these questions correctly, and haven't explained your reasoning.
Check my notes. You're welcome to resubmit with more explanation and/or corrections.
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