The volume V of a right‑circular cylinder is computed using the values d = 3.1 m for the diameter and h = 6.6 m for the height. Use the Linear Approximation to estimate the maximum error R in V if each of these values has a possible error of at most 2 % . Recall that V = π r 2 h .

6%

Step-by-step explanation:

A function f(x) can by approximated at and around a point, say x = a by,

f(x) = f(a) + f'(a)(x-a)

where,  

Here, volume V is a function of radius r and height h. In the 2 dimensional case, we have to take the partial derivatives.

Given,

or,

at r = 1.55 m and h = 6.6 m

Therefore,

Also,

Hence, maximum error is given by,

= 6%

means if you're already damaged some way when you take out a medical insurance you will not get full compensation for that injury that you already have.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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