- #1

calculusisfun

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## Homework Statement

Let f (x) = { sinx/x for x [tex]\neq[/tex] 0 and 1 for x = 0

Also, Z(x) = [tex]\int[/tex] f(t) dt from 0 to x

(a) At what values of x does the function Z have a local min?

(b) Solve the following equation to one decimal place.

[tex]\int[/tex] f(t) dt from 0 to x = 1 is equal to 1

**2. The attempt at a solution**

(a) A'(x) = f(x)

Possible minimums are when A'(x) = 0 or f(x) = 0

f(x) = 0 when sinx/x = 0

Now, how would I denote sinx/x = 0 because wouldn't there be infinite solutions??

(b) For this one... I have no idea. I did it in the calculator and got an answer, but I have no idea how to do it by hand. :(

Any help would be appreciated! :)