(a) Write as a limit of Riemann sums, taking the sample points to be right endpoints. Use a computer algebra system to evaluate the sum and to compute the limit. (b) Use the Fundamental Theorem to check your answer to part (a).
Step 1 of 3
Calculus notes for week of 9/19/16 3.6 Derivatives as Rates of Change Velocity is measured as: V ave(t+∆t) or s(b) – s(a) ∆t b – a (Change in position over change in time.) S’’(t) = V’(t) = A(t) (From left to right: S=Position, V= Velocity, and A=Acceleration) Average and Marginal Cost Suppose C(x) gives the total cost to produce x units of a good cost. Sometimes, C(x) = FC + VC * x FC = Fixed cost which does not change with units produced. VC = Variable cost which is the cost to produce each unit. C(x) = Average cost. C’(x) = Marginal cost, which is approximately the extra cost to produce one more unit beyond x units. C’(x) = lim C(x+∆x) – C(x) ∆x>0 ∆x 3.7 Chain Rule How do we differentiate a composi
Textbook: Single Variable Calculus
Author: James W Nilsson
Since the solution to 6 from 4 chapter was answered, more than 259 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Limit, use, points, compute, Computer. This expansive textbook survival guide covers 11 chapters, and 637 solutions. This textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7. Single Variable Calculus was written by and is associated to the ISBN: 9780538497831. The full step-by-step solution to problem: 6 from chapter: 4 was answered by , our top Calculus solution expert on 11/15/17, 04:21PM. The answer to “(a) Write as a limit of Riemann sums, taking the sample points to be right endpoints. Use a computer algebra system to evaluate the sum and to compute the limit. (b) Use the Fundamental Theorem to check your answer to part (a).” is broken down into a number of easy to follow steps, and 42 words.