I need help with my functions
1.Find f.
f ”(t) = 3et + 6 sin t,f(0) = 0,f(π) = 0
2.Find f.
f ”(x) = x−2,x > 0,f(1) = 0,f(6) = 0
3.Find a function f such that
f ‘(x) = 3x3
and the line
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.
y = 7e−x2,y = 0,x = 0,x = 1
5.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.
y = 17x2,y = 0,x = 1
