MATH 1151 Midterm: MATH 151 OSU M151 Q6 Sp10 Sol

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1151
• Professor: All

Document Summary

O r- i"6r :" i"l6i: [3 pts] use intewat notation to indicate where l(]") is decreasing. I o ;. ^^4,^ (-&, 3-{g\u (rt{"6. , -\ (o. \ ir: [3 pisl use inter\,nt notation to ildicate where /(a) is concave up. ,^d^"e^. t" - o + e-_-_-_t_-__. t3: [3 pts] use interval notation to indicate where /(,r) is concave dowr. 0 f k coacal"c op *t (t t p\ Pi, -*,* &5,,1 *t (-p,z: consider th lunction /(jd) : 4r3 - 5r on th int iva,l i-4, ,11, [,1 pls] find the averag or m a,n slope o{ the function on this interva,l. frur - ,-q l,lgtr-s(qt\- (icqt"-s(-o\ . i -c. l\ - n{sll: [4 pts] by the mean value theorem, we l-rrow therc exists at least one c in the open intelval ( 4, 4) such that /"(c) is equal to this meer slope. For thls problem, th ie are tvo va. lues of c that work.