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
<h2>Arithmetic Sequence</h2>

Answer:
it might be enlargement, am not exactly sure tho ^^
sorry!
Step-by-step explanation:
x + x+1 = 941
2x + 1 = 941
2x = 940
x = 470
but the question is wrong or cannot be answered bad in the given information.
the question sounds be : what are the page numbers ?
the answer : 470 and 471.
but "how many pages does the book have" cannot be answered.
the book could have 471 pages. but also 2000. or 4000. or, or, or...
it does not change anything about the relationship of the pages 470 and 471. and there is therefore no way to know the total number of pages of the book just by knowing that there are pages 470 and 471.