MATH 103 Midterm: MATH 103 UPenn Math103Fall 06 Exam
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The graphs of the derivatives of f(x) and g(x) are given. For each statement, circle t if the statement is true, circle f if the statement is false and circle ned if there is not enough data (ned) to determine whether it is true or false. G"(x: f(x) can be zero at most once on the interval shown. T f ned: g""(x) has no local maximum or local minimum. T f ned: g(x) is never zero on the interval shown. T f ned: f""(x) is always concave up on the interval shown. T f ned: f(x) has a local maximum at x=0, f"""(0) < 0, g(2) < 0. Find the area between the graphs of y = 1. + siny = 4 : find the equation of the line tangent to this curve at (2, 0, use your equation from part a) to approximate y when x = 2. 25.
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