Let the width of room be =x mtrs
Then the length is x+2 mtrs
As Perimeter = 2(l+b) = 2(x+x+2)
16 = 2 ( 2x+2)
16/2 = 2x +2
8=2x+2
2x= 8-2 = 6
x = 6/2 =3 mtrs
Therefore width of the room is 3 mtrs
I could be wrong but .165% would be my guess it it’s not 165% or 1650%
20% of x=6
20/100 of x=6
20x= 600
x=30
38% of 30=11.4
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
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.)