A sphere was measured and its radius was found to be 45, Mathematics

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A sphere was measured and its radius was found to be 45

1. a. Find the slope of the curve f(x) = (4x-3) /(x² - 4) at x=0.

b. Using part a) above, find the linearization L(x) at x = 0 and use it to approximate f(0.1).

c. Find the differential df.

2. A sphere was measured and its radius was found to be 45 centimeters with a possible error of no more that 0.01 centimeters. What is the maximum possible error in the volume if we use this value of the radius?

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