A group of 65 baseball players were surveyed about which hand they favor for batting. The data from the survey are shown in the
Venn diagram.
Determine the value for each variable in the two-way table.
a=
b=
c=
d=
e=
Determine the value for each variable in the two-way table.
a=
b=
c=
d=
e=
2 answers:
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The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
