Question

During a thunderstorm, rain was falling at a rate of 2t R(t) = 14 + t2) inches per hour, where t is the number of hours since midnight when the storm began. The amount of rain that fell between midnight (t=0) and 2:00 am (t=2) was O 0.0345 in/hr B. 0.0113 in/hr 0 -0.0345 in/hr 0 -0.0113 in/hr En A dy 0.0234 in/hr

Answer 1

Rain falling Rit) = rate is given by inches/hour midnight | t:o) so Amount of rain that fell between and 2.00 am (1=2) was 24 substituting 4+2²= u at at a du & dt = I du Adjusting integral boundaries :- t=0 4-4 t=2 le=8 Above integral gets simplified to Above 1. u 0 0 SEAT 1004 inghe 128 L92 dusi