Division of fractions 12/15 divided by 1/5
2 answers:
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The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.
<h3>What is the significance of "Area under the curve"?</h3>This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.
<h3>What is the justification for the above answer?</h3>Area =
=
= e¹-(1/2-0); or
Area = e -1.5 Squared Unit
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The temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C
From Newton's law of cooling, we have that
Where
From the question,
∴
Therefore, the equation becomes
Also, from the question
After 1 hour, the temperature of the ice-cream base has decreased to 58°C.
That is,
At time ,
Then, we can write that
Then, we get
Now, solve for
First collect like terms
Then,
Now, take the natural log of both sides
This is the value of the constant
Now, for the temperature of the ice cream 2 hours after it was placed in the freezer, that is, at
From
Then
Hence, the temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C
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