The humidity is currently 69% and falling at a rate of 4 percentage points per hour.(a) Estimate the change in humidity over the next 20 minutes. (Round your answer to one decimal place.)percentage points(b) Estimate the humidity 20 minutes from now. (Round your answer to one decimal place.)% The daily production level is currently 100 filters and increasing by rate of 8 filters per day.(a) Estimate the change in daily production over the next week.filters(b) Estimate the daily production in a week.filters

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Asked Nov 6, 2019
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The humidity is currently 69% and falling at a rate of 4 percentage points per hour.
(a) Estimate the change in humidity over the next 20 minutes. (Round your answer to one decimal place.)
percentage points
(b) Estimate the humidity 20 minutes from now. (Round your answer to one decimal place.)
%
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The humidity is currently 69% and falling at a rate of 4 percentage points per hour. (a) Estimate the change in humidity over the next 20 minutes. (Round your answer to one decimal place.) percentage points (b) Estimate the humidity 20 minutes from now. (Round your answer to one decimal place.) %

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The daily production level is currently 100 filters and increasing by rate of 8 filters per day.
(a) Estimate the change in daily production over the next week.
filters
(b) Estimate the daily production in a week.
filters
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The daily production level is currently 100 filters and increasing by rate of 8 filters per day. (a) Estimate the change in daily production over the next week. filters (b) Estimate the daily production in a week. filters

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Expert Answer

Step 1

Hey, since there are multiple questions posted, we will answer first question. If you want any specific question to be answered then please submit that question only or specify the question number in your message.

The result of change is approximated by a small amount of x to x + h, the output of f at x + h is approximately the value of f at x plus the approximate change in f, that is

f(x+h) f(x)+f(x)-h
Here humidity is 69% so, f (x) 69
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f(x+h) f(x)+f(x)-h Here humidity is 69% so, f (x) 69

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Step 2

(a) Since the falling rate is 4%,...

f'(x)
60
Change in humidity over the next 20 minutes.
4
20
60
Change in humidity
=
1.333
Because of falling, it takes negative sign.
Thus, the change in humidity over the next 20 minutes is -1.333%.
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f'(x) 60 Change in humidity over the next 20 minutes. 4 20 60 Change in humidity = 1.333 Because of falling, it takes negative sign. Thus, the change in humidity over the next 20 minutes is -1.333%.

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