Integration, Calculus (material continues)  Integration. Calculus: page 8 Example 8. Recall the income stream of A(t) =  110  t 5 + 330  t 4  33
{"Image DocumentName": "Integration. Calculus: page 8", "Image ImageDescription": "Example 8. Recall the income stream of A(t) = \uf02d110\uf0d7t \uf0d7t4 \uf02d 330\uf0d7t \uf0d7t million dollars per year that was expected by the Plastic-Is-Us toy company in Example 4 of Applications. Let G(T) be the total income that is expected during the first T years, for 0 \uf0a3 T \uf0a3 1. Picking a time T = 0.5 years, we will check that the instantaneous rate of change of G(T), with respect to T, is the same as A(T). Note that We now wish to compute G\uf0a2(0.5). Recall. that G\uf0a2(T) is approximated by the difference quotient. for small values of h. We will let h = , and use Integrating.xlsm to evaluate G( ) and G(0.5 \uf02d ). Integrating.xlsm rounds the numerical values of integrals to four decimal places. For the present calculation, we gain extra precision by copying the values from Cell N20 and keeping all of their decimal places. G( ) = G(0.5001) \uf040 G(0.5 \uf02d ) = G(0.4999) \uf040 Integrating.xlsm. \uf0e7 T. C. I. \uf0e8 (material continues)", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}