Total Distance - Calculus - Solved Exam, Exams of Calculus

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MATH 106 Exam 2 Review March 9, 2005 1. A Superball is laimched straight up into the air from ground level to a height of 80 feet atid continues to bounce up and down with each bounce reaching 90% of the height of the previous bounce. (a) What is the total distance the ball has traveled when it/hits the ground for thé 10th time? 1 fe 160+ oC.9) + ool 4 4 ol) = aller") leo (t- 4°) gen sum with as (GO er I-24 rs 04 : & oar. Let nz to L (b) What is the total distance it will eventually travel? . igo + (o(.4) + o(apee me ae NO Lieoo Let Trfinite geom. series with rr ba f= 049,50 Ht caver 2. Decide if each of the following converges or diverges and justify your answers. al (tm ay = e FO, So +h ith teem est says this h>\te Series musk ( diver} . (=) Aller nating y Leo Kas) atlernede m ave © Laaed intl Series Tek 2. ie, Aa = Re \n( eet) =o wate 4 at 73° Anat 4a, [nC ted) ln tnCert)° Thus, +he ~ Sevies Cony eres. a ey (3)! Potio. Tert 38" (nls . 4 \ pe | OMB | cu” Gna! 26 Cot? | tee TE tay = paage | A* Gn! 28" {Cae Col)” h hn): 13" (nlp . 3 (Briand Gr) Uy. lw Tn An +B t+ | 1- \ * 96 Cott] paste Bret Ot 4840426 > ie bea > #eis series \nvergs|