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Shtirlitz [24]
1 year ago
7

the depth of a rain puddle d(t) is given in inches, and t is given in minutes. if the depth is changing with respect to time, wh

ich expression gives the rate of change at which the depth is changing at 3 minutes?
Mathematics
1 answer:
garik1379 [7]1 year ago
7 0

The required expression gives the rate of change will be d'(3) at which the depth is changing at 3 minutes.

Let d(t) represent the depth of the rain puddle at any time t,

⇒ d(t)  ....(i)

The depth is changing with respect to time, which is given in the question

Differentiate equation (i) with respect to t and we get

⇒ δd(t)/δt = d'(t) ....(ii)

This is the rate of change in depth unit time

As per the question, the depth is changing at 3 minutes

Substitute the value of t = 3 in equation (ii), and we get

⇒ d'(3)

Therefore, the required expression gives the rate of change will be d'(3).

To learn more about the differentiation click here:

brainly.com/question/24898810

#SPJ1

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Hey there!

"What ratio forms a proportion with \frac{14}{42} ?"

              - \frac{14}{45} =0.56 (for the decimal)

  • A) \frac{1}{4} =0.25 (incorrect)
  • B) \frac{7}{21} =0.33 (Incorrect)
  • C) \frac{12}{40} 0.3 (incorrect)
  • D) \frac{28}{80} 0.7 (incorrect)

But in order for you to solve this particular equation you'd have to go in with two (like multiplying by two)

  • 1\times2= 2 ;   4\times2 = 8 (incorrect)
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Your result: \boxed{Answer: B. \frac{7}{21} }

Good luck on your assignment and enjoy your day!

~\bold{LoveYourselfFirst:) }



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