There are a few Calc problems that have me stumped, can anyone help me out!?
1 .Consider the region R bounded by the curve y=sinx and the x-axis on the intercal [o, pi/2]. What is the volume of the solid generated when R is rotated about the x-axis?
What is the volume of the solid generated when the region R above is rotated acout the line y=2?
2.Consider the region S bounded by the y-axis, the line y= cosx and the line y=sinx. What is the area of S?
What is the volume of the region generated by rotating S about he x-axis?
3. Consider the region Q bounded by the x-axis, the y-axis and the line y= squareroot of 16-x^2. What is the volume of the solid generated by rotating the region Q about the y-axis.