Question

Chapter 11, Section 11.3, Question 018 With t in years since the start of 2014, copper has been mined worldwide at a rate of 17.9e0.025t million tons per year. (a) Use Euler's method with Δt-1 to estimate values of precision (or higher) for all intermediate computations. CNumber million tons the total quantity of copper extracted worldwide since the start of 2014 until the start of 2018. Use three decimal place 17.9e.025d7 See the figure below. (b) What is the relationship between the value of C from part (a) and OC is a right Riemann sum approximating the integral 17.9e002dt. OCis equal to 17.9e025d. OC is a left Riemann sum approximating the integral17.9e02,d C and J 17.9e0,025sdt are not related since C comes from solving a differential equation and not an integral C is the average value of 17.9e025 between 0 and 4,and so equal to (1/4) Jo179e 02 dC/dt 20 17.9e0025(3) 17.9 10 1 Data from http://minerals.usgs.gov/minerals/pubs/commodityl Accessed February 8, 201:5

Answer 1

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Step 2 (,14) re - 19 35 314 Step 3 t2 2 c2= 36 ,a5314 0.0252 23G.a 5 314 Is. 177555.01$9 Step& t3 ; 3 13155.07089 55 010 89 = 19. a9 4126

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