MA 125 Midterm: 1-13f-F
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If you have time, nd a way to check your answers. Part 1: [5 points] evaluate lim t . 2: [5 points] find the values of x for which the curve y = 2x3. 24x + 1 has a horizontal tangent line: [5 points] find the linearization l(x) of the function f (x) at. 1 x x2: [5 points] a particle moves along a straight line so that its coordinate at the time t is s(t). It is known that its velocity equals v(t) = 6t2 + 4t + 1 and that s(0) = 0. 4: [5 points] di erentiate f (x) = etan x. Part 2: [5 points] given the following function on the given interval. Nd all numbers c that satisfy the conclusion of the mean value theorem. g(t) = t2 + 2t + 1: [5 points] use logarithmic di erentiation to calculate the derivative of y =
