Originally Posted by
DanS29 I don't need any work shown I just need the answers so I can check my answer. I have my final exam tomorrow so I need to be sure I'm doing these right.
Any answer would help me out a lot, but the more I can get answers to the better.
Thanks so much!
a) Initial value problem
dy/dx=y^2 + 1
y(4)=0
b)Find the area of the surface obtained by rotating the curve about the y-axis?
y=(1/4)*x^2 - (1/2)*ln(x); 1≤x≤2
c)Find the length of the curve
x=((y^4)/8) + (1/(4*y^2)); 1≤y≤2
d)Solve the differential equation.
7yy' = 5x
e)Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve about the given axis.
y=e^x; 1≤y≤3; y-axis
f) Find the area of the surface obtained by rotating the curve about the x-axis.
x= (1/3)*(y^2 +2)^(3/2)
1≤y≤3
g)Find the area of the surface obtained by rotating the curve about the x-axis.
y=x^3
0≤x≤3