代写Math3b Week1帮做Python语言

Problem 1 The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period 0 10 20 30 0 40 80 120 t (seconds) 1 v (km/h)Problem 2 Using Definition 2, find an expression for the area under the function f(x) = x 2 e x on the interval 0 ≤ x ≤ 4. Do not evaluate the limit. 2 Definition The area A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles: A = lim n→∞ Rn = lim n→∞ [f(x1)∆x + f(x2)∆x + · · · + f(xn)∆x] Problem 3 Determine a region whose area is given by limn→∞ P n i=1 n 1