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Quiz 5 Example (MATH M-119; Brief Survey of Calculus I, Staff)

Quiz 5 Example (MATH M-119; Brief Survey of Calculus I, Staff)

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Unformatted text preview: Points M119: Quiz 5 Name e/L/Avi Z“) 2 M695 «fl L 5 ? faqqtf}; i..— . 5. ‘ at) Sgbégflfg ’1 /S L/ t/ n: [Hf-‘35 [mcfifflé‘tmc- (3.": (Ci MILL] W F! (P, W ML. (£5 -2, m1 m 5' r! W3“?! NW“ ‘? 2 4,. (1W Qatar/“EL”: Points will only be given for answers on the front page and there is no partial credit. Include units with all answers that have a unit and label each answer. Unless stated otherwise, round all final answers to the nearest one-hundredth Chose the corresponding letters for all expressions that mean the same thing as the original problem: (1) The slope of the tangent line (2) The slope of the secant line A A) linear rate of change B) Xx}: (fl C) derivable D) derived ax) . Df . . E) f prime of x F) Bx— G) derivation H) average rate of change 0’ 1) percent rate of change I) Ey U} K) derivative L) instantaneous rate of change IL |~\ _ ,3. six f(x)=x2 -4 a“ I {l".“(‘l"tficl * -__/ I__§’_’2:__-) :31?“ \ I '1 __ _ '_ balsa . l,- (3) Estimate the f‘(2) C}, '/ [3; -.-_ j. [ i ‘t’ ‘ Find the left hand estimation of f'(4) using a second point that is .01 away. < ’5. as. '2‘ —' "0 - ( L-Fv “7‘; re a ‘l A- (4) - | ' h t '.u r‘ t._ f_ .. . K were re; The table below shows, 17:), total sales of CDs, in millions of CDs, as a function of the year I. Year, t 1992 1994 1996 1998 CD sales, f(t) 407.5 662.1 778.9 847 (5) Find the best estimate for f 71994) (6) Interpret your answer above in a sentence. EFF-FH— ' “I ie-.::"- .t'"‘.'--'-‘?"*’U'}'f‘€ .é" ’- .- IIIQ-r J ' " ' -' g M ._fs=rLI ' ' I, 6. 0%"5191335‘qwlbbfljnc C Lies: if N) ' r,‘ "r Mil-d ,a .35! I: r I ' : NW C fing‘ _ 5 .. .- Viz/f \[ - ( I??? L b -—— ,: ' {,5 45M (lg/cc”: .. e 2| ...
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