What is the answer to this problem (x+3)(x+5)
2 answers:
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Answer:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Step-by-step explanation:
The circumference (), in centimeters, and the surface area (
), in square centimeters, of a sphere are represented by following formulas:
(1)
(2)
Where is the radius of the sphere, in centimeters.
By applying (2) in (1), we derive this expression:
(3)
By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area (), in square centimeters:
(4)
Where:
- Measure circumference, in centimeters.
- Possible error in circumference, in centimeters.
If we know that and
, then the maximum error is:
The maximum error in the calculated surface area is approximately 8.3083 square centimeters.
Hello there.
To answer this question, we need to remember some properties about the vertex of quadratic functions.
Let . Its vertex can be found on the coordinates
such that
and
, in which
.
Using the coefficients given by the question, we get that:
Thus, we have:
So the statement is true, because the coordinate of the vertex of the function is equal to