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mars1129 [50]
2 years ago
8

The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate

the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Mathematics
1 answer:
hoa [83]2 years ago
3 0

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

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