MAT 1300 Midterm: MATH 1300 University of Ottawa 07finsol
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MAT 1300 Full Course Notes
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1: find the equation of the tangent line to the graph of y = 3 x 1 when x = 4. Hence, the equation of the tangent: calculate. Solution. x2 x 12 = (x + 3)(x 4). 7. (b) (2, 3) (c) ( 1, ) (d) ( , 1) (e) ( 2, 4): on what interval is the function g(x) = 2x3 + 12x2 36x + 3 concave down? (a) (2, ) Solution. g" = 6x2 + 24x 36, g" = 12x + 24. g"" = 0 implies x = 2. Solution. g" = 6x2 + 6x 36. Critical points are the roots of x2 + x 6 = 0, x = 3, 2. When < x < 3, g" > 0; when 3 < x < 2, g" < 0; when 2 < x < , g" > 0. g attains a local maximum at x = 3: calculate.
