A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor ch
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Answer:
Rate of change of the area of the square is 42 units at t = 2.
Step-by-step explanation:
We note that the area of the square is given by: but we aim to find
. But we can use the chain rule to pull out that dA/dt. Doing so gives us:
Now, (by the power rule and
But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.
So, finally, we see that:
Keywords:
<em>equation, variable, clear, round, centesima, neperian logarithm, exponential </em>
For this case we have the following equation , from which we must clear the value of the variable "x" and round to the nearest hundredth. To do this, we must apply properties of neperian and exponential logarithms. By definition:
So:
We apply Neperian logarithm to both sides:
We divide between "3" both sides of the equation:
Rounding out the nearest hundredth we have:
Answer: