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Mathematics
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1.The region in the first quadrant bounded by the x-axis, the line x = ln(π), and the curve y = sin(e^x) is rotated about the x-axis. What is the volume of the generated solid? a: 0.906 b:0.795 c:2.846 d: 2.498 2.Find the average value of f(x)=2/x over the interval [1, 3]. a: 1.10 b:2.20 c:0.55 d:0.33 3:For an object whose velocity in ft/sec is given by v(t) = −2t^2 + 4, what is its distance travelled, in feet, on the interval t = 0 to t = 2 secs? a:4.876 b:2.667 c:9.752 d:2.438
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