Answer:
Step-by-step explanation:
Surface area is pretty synonymous with area.
How much paint is needed to paint the outside of a birdhouse?
Paint is measured in volume, so not surface area
How much wallpaper is needed to cover the walls of your room?
Since its just the walls its not total surface area, but surface area of the walls.
How much water will it take to fill a rectangular container?
water is measured in volume, especially when wanting to fill something.
How much topsoil can a gardener place in his wheelbarrow?
Wants to know how much topsoil is needed to FILL the wheelbarrow, filling is volume. So not surface area.
How much fabric is needed to make a pillowcase for a pillow?
Not asking to fill the pillowcase, just how much is needed for the thin, one layer thick case. So this is surface area.
Answer:
a) integral = 24.72
b) |Error| ≤ 0.4267
Step-by-step explanation:
a)
The integral:
can be approximated with the midpoint rule, as follows:
6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72
(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)
b)The error bound for the midpoint rule with <em>n</em> points is:
|Error| ≤ K*(b - a)^3/(24*n^2)
where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|
Given that -5 ≤ f''(x) ≤ 1, then K = 5. Replacing into the equation:
|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267
<span>27^-2/3
= (3^3)^-2/3
= 3^-2
= 1/3^2
= 1/9
answer
</span><span>B. 1/9</span>
This is the answer 104.4285714285714
The first answer is figure B
the second is figure A because all angles are equal
the third is Hex regular
the 4th is octagon not regular
the 5th is hex regular
merry christmas my apologize for being to vague with my last answer
