MATH 141 Midterm: MATH141 South Carolina 141 96 f nospace
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Each of the other problem is worth 10 points. You might nd the following formulas to be useful: Xk=1 k2 = n(n + 1)(2n + 1) 4: let (a) graph y = f (x) . (b) fill in the blanks: f (x) = if x 1, if 1 < x < 1, x + 2 x2. 4x x2 + 2: let f (x) = What are the local maximum points, local minimum points, and points of in ection of y = f (x) . Find all vertical and horizontal asymptotes of y = f (x) . Graph y = f (x) : find lim x 3+ x 3 x2 2x + 3, a tank in the shape of a right circular cone is full of water. The density of water is 62. 4 pounds per cubic foot. Find f (x) : find the equation of the line tangent to y = 3x10 at x = 1 .
