MATH 0120 Midterm: Math 0120 Exam 1 (0120) spring 2013-297
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Show all your work (no work = no credit). Simplify your answers: [10 points] find and simplify the di erence quotient f (x + h) f (x) h for the function f (x) = 3x + 2. Formula, as appropriate. (b) [10 points] find the company maximum pro t. Show all work. (a) [10 points] l = lim x 1 x2 3x + 2 x 1 (b) [10 points] l = lim x 4. X 2 x 4 (c) [10 points] l = lim x . 3: [10 points] find the equation of the tangent line to the curve y = x3 at the point (4, 8). Mention rules used. (a) [10 points] find f (2) if f (x) = (cid:18) x x + 2(cid:19)3 (b) [10 points] find f (3) if f (x) = x5. Suppose that after x months, monthly sales of compact discs predicted to be s(x) = (x2 1)(8 x3) thousand (for 0 x 2).
