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The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:
Provided that:
Using l'Hospital's rule:
Therefore:
Hence; c = 0
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The line segment AB is divided at point P, which has coordinates P(0,-7.5)
A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.
Given are,
A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively
Two minor line segments, AP and PB, are created from the line segment AB by the provided point P
We must determine the dividing point's coordinates, or P.
We'll apply the formula provided,
The coordinates of the point P are given by = (,
)
Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0
Putting values in the formula, we get
(,
)
(0,-7.5)
Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)
To learn more about Line Segment, here
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