Question

9. [-13 Points] DETAILS SESSCALC2 4.3.064. MY NC Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed into the atmosphere are given in the table. The time t is measured in seconds and the units for r(t) are tonnes (metric tons) per second. (Use 6 equal subintervals.) 1 2 3 4 56 r(t) 282632 445260 (a) Give upper and lower estimates for the total quantity Q(6) of erupted materials after 6 seconds. Q(6)= tonnes (lower estimate) (6)= tonnes (upper estimate) (b) Use the Midpoint Rule to estimate Q(6). (Use 3 equal subintervals.) Q(6) tonnes Need Help? Read It Talk to a Tutor 10. [-12 Points] DETAILS SESSCALC2 4.3.JIT.010. MY NC Simplify the expression by using Double-Angle Formula or a Half-Angle Formula. (a) cos2 340 - sin2 340 (b) cos2 58 - sin2 50

Answer 1

Since rite @ 06:46 a Increasing function, 46 = underestinate / lowes estrate R6 = overestimates l upper estimate (0)+Hit feel toor -4715)]et = (2+8+26+32+44+52] Q(6)= 164 tonnes > lower estimate 866) RE (ru)+ re Ple)+ --- +846)] = {842543 +32 +44+52+60301 Q(6) z 222 @cos 22349) -Sen2 (240) = cos ( 2x340) = cos(680) D Cos? (50) – Sin 50) = cos (2650)) LOS(100) Cos2A=Los A - Sin²A