Answer:
1/4a+3/4b
Step-by-step explanation:
OP=OA+AP
OA=a
AP=3/4AB
AB=-a+b
thus AP=3/4(-a+b) which is-3/4a+3/4b
OP=a-3/4a+3/4b thus 1/4a+3/4b
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.
Answer:
I believe D is the correct answer.
Step-by-step explanation:
Answer: C.
Step-by-step explanation:
The first number is a positive 4, which is your a1. Then the geometric sequence goes to a negative implying that it is multiplied by a negative. So the a1 = 4 and it is being multiplied by a negative 3.
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