PHYSICS 15A Midterm: PHYS15A Harvard 03 Spring Midterm2
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Instructions: you have two hours for this examination, you are permitted the use of a one page notes sheet (8. 5x11, both sides), solve each problem in the space provided. Write the letter of your answer in the appropriate. Shaneson space on this page: show your work. A correct answer with no supporting work may receive little or no credit: each problem is worth 4 points, there are 25 problems; you are to do all of them. Write the letters corresponding to your answers here: Find the volume of the solid obtained when the region bounded by y = x 2 ! x,!and ! y = 0 is rotated around the x-axis: !/3, !/12, !/5, !/30, !/36. Suppose that g(x) is the inverse of the function f(x). f(4) = 5 and. !f (1) if f (x) = e! x2: 1, 2e 1. 4 ! x 2 dx: !/8, !/6, !/4, !/2, 0. 3 x sin x + tan x: 0, 1/2.
