To visit his grandmother, Luis takes a train 6.376.376, point, 37 kilometers and a car 5.455.455, point, 45 kilometers.
1 answer:
Answer:
Luis traveled 11.82 km in total.
Step-by-step explanation:
<em>The statement should say</em>: To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis's journey in total?
Hence, to find the total distance traveled by Luis we must add the distances of the train (6.37 km) and the car (5.45 km):
Therefore, Luis traveled 11.82 km in total.
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Answer:
Step-by-step explanation:
<u>Maximization With Derivatives</u>
Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.
We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.
The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.
The amount of fence needed to enclose the external and the internal divisions is
We know the total fencing is 1/2 miles long, thus
Solving for x
The total area of the pasture is
Substituting x
Differentiating with respect to y
Equate to 0
Solving for y
And also
Compute the second derivative
Since it's always negative, the point is a maximum
Thus, the maximum area is