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1) Use differentials to approximate the change in volume of a spherical balloon of radius 6 m as the balloon swells to a radius of

1) Use differentials to approximate the change in volume of a spherical balloon of radius 6 m as the balloon swells to a radius of 6.2 m. (Round your answer to one decimal place.)

________ m³

2) Consider the following.

f(x) = x, x₀=1

(a) Find the linear approximation L(x) tofat x₀.

L(x) = __________

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