Local Minimum - Calculus - Solved Exam, Exams of Calculus

This is the Solved Exam of Calculus which includes Negative, Natural Domain, Natural Domain, Range, Moving Across, Coordinates, Local Extrema etc. Key important points are: Local Minimum, Coordinates, Local Extrema, Classify, Local Minimum, Global Extrema, Global Maximum, Global Minimum, Inflection Points, Deck

Typology: Exams

2012/2013

Uploaded on 03/06/2013

saji
saji 🇮🇳

4.5

(2)

54 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
pf3
pf4

Partial preview of the text

Download Local Minimum - Calculus - Solved Exam and more Exams Calculus in PDF only on Docsity!

MATH 105 Final Exam Review II 1. Consider the function f(z) = 25 — 22° on the interval [ 2,2). (a) Find the exact 2- and y-coordinates of any and all local extrema and classify each as a local maximum or local minimum. Fired 4- Gods, leat : (2 60) Ud - ¢ a 3 iS legal may 1 f= ox - bx NON A £(-2\> bo (ocal wax » ( 2,48) =< _ tt = O= Oi (1 eb ata fas 0 fecal mms Chi = X=0, K=/ £2) = 46 (b) Find the exact x- and y-coordinates of any: and all global extrema and classify each asa global maximum. or global minimum. From the 3 ~ coord haks Th rt (a), we sea that ut have globo ma > (-2, 80) 4 label mm: -C 1-1) (c) Find the exact x-coordinate(s) of any and all inflection points £'%(x) = 2%»! ~12X jw Gre [x =O, X= 4 | O = 6x(Sx* +2) Foe dn “? bia ge + ° - 3 t 3 = X=o, X= JE Ais J 2. You are standing on the very top of a 20-foot ladder which is leaning against the side of your house. Suddenly, the base of the ladder begins to slip backward away from the house at a rate of 3 feet per second, causing the top of the ladder (and you) to slide downward along the wall. When you are stil! 12 feet above ground, at what rate is your height above the ground changing? twant : 4 ‘@) Kuew:. x "(£) Retake x) ad yLQ 2 2072 (xe) + (gh) 3 “0 Tate 4fde of both stoles: O= 2XQ-xX® + ayy). Plug nm and solve When 3F a, O= 2 te- G3) 4 2° i2-9'&) we have 20” - r€ = eit oO AG t2Ay (t) =) 44 us [= 4 €/s| ot this ~ women. S x= le.