The graph shows quadrilateral FGHI and the location of vertex F' after a dilation with respect to the origin. What are the coord
inates of G' ?
a. (2, 3)
b. (0, 2)
c. (3, 2)
d. (2, 0)
a. (2, 3)
b. (0, 2)
c. (3, 2)
d. (2, 0)
2 answers:
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Employ a standard trick used in proving the chain rule:
The limit of a product is the product of limits, i.e. we can write
The rightmost limit is an exercise in differentiating
For the leftmost limit, we make a substitution
which in turn is the derivative of
So we find that