MATH 1151 Midterm: MATH 151 OSU M151 Exam3 Wi10 Sol

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

Document Summary

Problem 1 lft /(r) - ro"inr) +. ,,6 | l: [8 pts] compute fr(o). (",t. r{*[-rro" + (** r\/"l. *!f il6 : [8 pts] using part a), grve an. 1*1 , 1+ d(r_:) e,rpression for the linearization of / at r : 3. o+j,ln. I t; (l"l i l:t1 = - 112 = 1. I qun[- i {r-p"f t-r {. - (i, r\ :p l"ixf"q: 18 pts] estimaie /(3. 01) using the linea. dzation in b) (no credit here for using lruur ca. lctlator to compute /(3. 01) directly). Problem 2 sand is being dumped onto an ivefied conical pile at a rate of 25rni per min. The shape of tbe cone is such that ihe diame!4 of the base is alyrays twice the. ",r . o[ f clo-r f vrb,! so, d_,. dt y= . = *"(14\14":rl3: [8 pts] use part a) to lird the rate,of change of h(l) when h:6m. 4*l"l"dlj,"tl dt i "l&, jy". t"# dri r -,, ,11,, 5 . ,\"+" ""t d.