# I need help with my functions

**Question description**

1.Find *f*.

^{t}+ 6 sin t,f(0) = 0,f(π) = 0

*f*.

^{−2},x > 0,f(1) = 0,f(6) = 0

3.Find a function *f* such that

f '(x) = 3x^{3}

3x + y = 0

is tangent to the graph of*f*.

4.Use the method of cylindrical shells to find the volume *V* generated by rotating the region bounded by the given curves about the *y*-axis.

^{−x2},y = 0,x = 0,x = 1

*V*generated by rotating the region bounded by the given curves about the

*y*-axis.

^{2},y = 0,x = 1

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