CHEM 2462 : Calculus Test
Document Summary
3x2 + 4x3: a line through the origin is tangent to y = x3 + 3x + 1 at the point (a, b). What is a: a boat springs a leak at time t = 0, with water coming in at constant rate. At a time t = > 0 hours, someone notices that there is a leak and starts to record distance the boat travels. The boat"s speed is inversely related to the amount of water in the boat. If the boat travels twice as far in the rst hour as in the second hour, what is : let i(n) = r . I(5n): let k(x) be 0 for x < k and 1 for x k. the dirac delta function is de ned to be k(x) = d (it"s really called a distribution, and we promise it makes sense. ) Suppose d2 f (0) = f (0) = 0.
