Charlotte is driving from Elk Grove, CA to West Jordan, UT. She starts at 5:54 AM and continues driving for 670 minutes. When di
2 answers:
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Answer:
Step-by-step explanation:
First, we will find the midpoint for the x - coordinate first.
Midpoint (x) =
Now we will find the midpoint for the y - coordinate.
Midpoint (y) =
Therefore from these 2 values we know that the midpoint of this 2 points is (-3.5,-0.5)
Answer:
The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Step-by-step explanation:
A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.
Recall that the volume for a cylinder is given by:
Substitute:
Solve for <em>h: </em>
Recall that the surface area of a cylinder is given by:
We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.
First, substitute for <em>h</em>.
Find its derivative:
Solve for its zero(s):
Hence, the radius that minimizes the surface area will be about 3.628 centimeters.
Then the height will be:
In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.