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1 answer:
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Answer: c) .
Step-by-step explanation:
Mean value theorem : If f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that
Given function :
Interval : [0,3]
Then, by the mean value theorem, there is at least one number c in the interval (0,3) such that
Since
then, at x=c,
From (i) and (ii), we have
Hence, the correct option is c) .
Answer:
x = 2
Step-by-step explanation:
Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be .
We can then solve for x using the Pythagorean theorem:
Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.