# Answer to Question #19264 in Calculus for hsd

Question #19264

Use differential, (i.e. linear approximation), to approximate cube root(64.3) as follows:

Let f(x)=cube root(x). The linear approximation to f(x) at x=64 can be written in the form y=mx+b. Computer m and b.

m=

b=

Using this, find the approximation for cube root(64.3).

Answer:

Let f(x)=cube root(x). The linear approximation to f(x) at x=64 can be written in the form y=mx+b. Computer m and b.

m=

b=

Using this, find the approximation for cube root(64.3).

Answer:

Expert's answer

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