1920 003 S15 Q8 NO COLLABORATION. WORK NEEDS TO BE INDEPENDENT. Name___________________________________ No Credit for "Answers Only." Solutions need to be legible and complete. FINISHED WORK ONLY. NO DRAFTS PLEASE. SINGLE-SIDED AND STAPLED. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the volume of the solid generated by revolving the shaded region about the given axis. 1) About the y-axis 1) y 6 5 y= 3x 4 3 2 1 1 2 3 4 5 6 A) 18 B) Find the length of the curve. 2) y = 3x3/2 from x = 0 to x = A) x 27 5 C) 243 5 D) 3 5 9 335 162 2) B) 335 243 C) 1 D) 335 3 Evaluate the integral. 3) cos-1 x dx 3) A) x cos-1x + C) x cos-1x - 1 - x2 + C 1 1 - x2 B) x cos-1x - D) x cos-1x - 2 1 - x2 + C +C Solve the problem by integration. 4) The general expression for the slope of a curve is 1 - x2 + C 3x + 2 . Find the equation of the curve if it passes x2 + 2x through (1, 0). x(x + 2)2 9 B) y = ln x(x - 2)2 9 C) y = ln x(x + 2)2 D) y = ln x( x + 2)2 3 A) y = ln 1 4)