The derivative of the function g(x) as given in the task content by virtue of the Fundamental theorem of calculus is; g'(x) = √2 ln(t) dt = 1.
<h3>What is the derivative of the function g(x) by virtue of the Fundamental theorem of calculus as given in the task content?</h3>
g(x) = Integral; √2 ln(t) dt (with the upper and lower limits e^x and 1 respectively).
Since, it follows from the Fundamental theorem of calculus that given an integral where;
Now, g(x) = Integral f(t) dt with limits a and x, it follows that the differential of g(x);
g'(x) = f(x).
Consequently, the function g'(x) which is to be evaluated in this scenario can be determined as:
g'(x) =
= 1
The derivative of the function g(x) as given in the task content by virtue of the Fundamental theorem of calculus is; g'(x) = √2 ln(t) dt = 1.
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Answer:
240 because first u have to figure out 40%of 50% and than 1200
Step-by-step explanation:
Answer:
There is an 85% probability that the sprinkler head will be activated.
Step-by-step explanation:
We have these following probabilities:
50% of the first sprinkler being triggered
90% of the first sprinkler being reliable
50% of the second sprinkler being triggered
80% of the second sprinkler being reliable.
What is the probability that the sprinkler head will be activated?

is the probability of the first sprinkler being triggered and activated. So:

is the probability of the second sprinkler being triggered and activated. So:


There is an 85% probability that the sprinkler head will be activated.
Answer:

Step-by-step explanation:
Given



Required
Determine the volume
Volume is calculated as:

Substitute values for Length, Width and Height


<em>Hence, the volume of the box is </em>
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Answer:
A.
Step-by-step explanation:
2/hour
2×4 hours =8 dollars ;
Then 3x(because we dk the time taken, so replaced by x and then times 3)
Equation =8+3x