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Unformatted text preview: g(x) = e x on the interval [0,1]. (See Maple problem) ans: 7. Calculate the area between the parabola f(x) = 2x 2 + 3x and the curve g(x) = 3e x on the interval [0,3]. Ans:3e 3 + 57/2 8. Calculate the area between the line f(x) = x + 3 and the line g(x) = 3/x on the interval [1,3] Ans: 3 ln(3) + 10 9. Find the area of the shaded region (see Maple problem) if f(x) =  2x / (x 2 +4) on the closed interval [3,4] Ans: ln(13)2ln(2) + ln(5) 10. Set up an integral which represents the area between the parabola f(x) = 1/2 x 2 and the line g(x) = x  4. Enter answer in the form int(h(x),x=a to b) Ans: int(1/2x 2 – (x4),x=2 to 4) 11. Set up an integral which represents the area between the parabola f(x) = 2x 2 + 2x and the line g(x) = 2x 2. Enter answer in the form int(h(x),x=a to b) Ans: int(2x 2 +2x(2x2),x= 1 to 1)...
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 Spring '08
 VAUGHN
 Calculus, Topology, Maple problem

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