MATH 105 Midterm: MATH 105 2012 Winter Test 2

• School: UBC
• Department: Mathematics
• Course: MATH 105
• Professor: All

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Put your answer in the box provided but show your work also. Answer: (b) find an equation for the level curve of f (x, y) = 3xy2 + 2y 1 that goes through the point (1, 2). (c) evaluate 5/2. Answer: (d) fill in the blanks with right, left, or midpoint; an interval; and a value of n. K=0 f (1. 5 + k) 1 is a. Riemann sum for f on the interval [ |2x| dx. (f) if f (x) = cos x. 1 t3 + 6 dt, nd f ( ). Answer: (g) find the area of the region bounded by the graph of f (x) = between x = 0 and x = 1. 1 (2x 4)2 and the x-axis (h) evaluate ln x x7 dx. 1 x dx using simpson"s rule with n = 4. Do not write down simpson"s rule approximation s4. (j) find a bound for the error in approximating 5.