MA 123 , Previous Exam 3 Answers

• 1) infinity
• 2) 4(1 + 2^(2/3))^(3/2) approx. equal 16.65 ft.
• 3) f(x) = x^2 + (1/x^3) + 1
• 4)
  a) Using rectangles with base length 1 and heights = 0, 3 , 3, 0 get underestimate of 6.
  b) Using rectangles with base length 1 and heights = 3 , 4, 4, 3 get overestimate of 14.
• 5) Area is the intersection of the circle with center (0,0) and radius 4 and the first quadrant. The area is equal to 4*Pi.
• 6) (1/6)x^6 + x^4 + 2x^2 + C
• 7) x_2 = 1.5 , x_3 = 1.347 , x_4 = 1.32520 .

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