Answer:
h'(-1) = 5
Explanation:
Given - The table above gives values of f, f’, g, and g’ at selected values
of x.
x f(x) f'(x) g(x) g'(x)
-1 6 5 3 -2
1 3 -3 -1 2
3 1 -2 2 3
To find - If h(x) = f(g(x)), then h’(1) = ......?
Proof -
Given that,
h(x) = f(g(x))
⇒h'(x) = f'(g(x))
⇒h'(1) = f'(g(1))
Now,
g(1) = -1
⇒f'(-1) = 5
⇒h'(-1) = 5
Given:
a1(first term in arithmetic sequence): 14
a25 ( 25th term in arithmetic sequence): 206
Let d be the arithmetic difference
a25= a1+ 24d
206= 14+ 24 x d
Solving for d we get
d=8.
Thus the arithmetic difference is 8.
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Extoverts tend to be happier than introverts, regardless of the cultural context.
Introverts are more likely to suffer from depression and asthma.
Hope this helps, Pal
Answer:
the 3rd one (I am not sure but ya)