Answer true for false for each question.If your answer is true give na explanation.If your answer is false give either an explanation or a counter-example (an example that demonstrates the statement is false).You must give either an explanation or a counter-example to receive credit for the problem.Each question is worth one point.Write your answers out on a separate sheet of paper and upload them below.

1. [j V1+(f'(x))2dx = f:1+f'(x)a'x 2. If a region is revolved around the y axis to create a solid of revolution, then the shell method must be used to nd the volume of the resulting solid. . l . . . . 3. The integral f0 V1 xzdx can be solved usmg a Sine substitution. k 00 e . . 4. 21:1 (F) IS a convergent geometric series. 5. A region with a constant density that is symmetric about the x-axis has a center of mass with x-coordinate equal to zero