Answer:
The rearrangement of the terms is .
Step-by-step explanation:
The given expression is
Two terms are called like terms if they have same variables having same degree.
In the given expression 3 and -4, -6x and 3x, 4x² and -6x² are like terms.
Arrange the given terms according to their degree and arrange in this way so like terms are next to each other.
Therefore the rearrangement of the terms is .
Answer:
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
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(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
