{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

test2samplesols

# test2samplesols - (xﬁzqojti’iC(—5”:3...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: \/ '(xﬁzqojti’iC) (—5” (:3) ° (WX’QQLZSZ‘O‘Q T149567 ave Peony C; (5 3 = 93— — 3:1:2 + 8x + 2. The particle momentarily comes to rest (has zero velocity) twice. Find the two times when this happens (5 points), and ﬁnd the acceleration at each of- these times. (7 points). \/(‘<): X We) : ft: 617%: (t- %)(t—2) WM) :7 is” 4:34 v (t) )30 {{)': 2f 6 /Q(2)~—*2 ‘ 9(9)::2 2. At time t, a particle is at position a:(t) 3. Suppose f (3:) is a cubic polynomial, i.e. f (SE) = (13:3 + bx” + car: + d for some a, b, c and d. Further, suppose f(0) = f(1) = ——l, f”(1) = 0 and f’”(0) = 6. Find f. (Le. solve for a, b, c and d). (12 points). _ f (”30/ ‘0 o;g+\zt, are: JC(><J- 3 2 *3 50 . I' ' #O‘X +5¥'+CK’d:K3—3X +C_><fd. JCKO):~{/ {cg ~:¥(():)"3+C~{ f0 :21 J 4. Find the equation of the normal line (line perpendicular to the tangent) of x2+y2=2w+2yw1at (l+\/§,1—x/§). (12points). (i V i v 7 7 ;_ r; - (Z... .2w4-7/(m 2* 2cm iii-W 2\/-2):— 2’“ {X ' 5. Suppose my :: cos(a: + y). Find a formula for 2% in terms of a: and y. (12 points). CU av . , ,if >< El; +\/ : *Sl’llxﬂf) ( M C“ (l V (K + g/n OKAY» : “Sp/I (X+\/) WV 7»? ' I l\/ if'm (ofﬂlkvi 5/; :_ ._P W} I f. 6. Suppose f is a continuous function, f(0) = 1, f’(0) = 2, f’(1) 4—- 1, f(2) = O and f’(2) = 4. Let g(x) = (:1: —- 2)2. Let Mm) : (fog)(x) = f(g(:z:)). Find all of the following for which you have sufﬁcient information to determine (state that you do not have enough information if that is the case): (3 points eac . . l 1 I 7h) 3' a h(n:€@mgcw: Nwﬂ§(JH) ”(0)22“? _2) g r (Ll) —: :2 {10+ (”maﬁa ,',,c (J hr(2)=;{o) pm) :— 2-0 2:0 H3 2 _ l g . (JLN30¥U+3)1L+;YW:% Is f’(a:)20for allxe[0,2]? Why or why not? no_ I? 70] :O/ fbxocr C {2) Z ;{O)x Ugly-(fr. .33 ”(C-5,, 7. Suppose satellite Alpha has an inﬂatable conical shield (in the manner of US Patent 5,345,238 for example). Suppose further that this shield is constructed so its height is always twice its radius. After a year in space, Alpha’s shield has degraded to the point where it leaks air (and so loses volume) at a rate of one cubic meter a. year. If the radius of the shield is 10 meters then, at what rate is the radius shrinking at that time? (Hint: The volume of a cone is V = gar-2h.) (16 points). a 7 P aw _ {/2 ~%V2Lw l“ 2 / c((~i l/ K‘s-(O 3 E}? , :7” e 8. Use differentials to approximate 3/2704. (Unsupported answers will receive no credit.) (12 points). \/ *— 7< V3 Y(l7)33 W MW exam) ><22? ' ) ‘6)”; we): W220ﬂi y(><l+ ch‘ \$0923 WM») We): ska” 7’(2?):§‘2?'%1\$ 7(2?.OL{)—_€~— W 12—00/Wﬁ‘5025ﬁ‘H: 50 W9 (llCl C4 Pf'el‘ff ﬂood 1.01:) QIJ’W/cxf/I/ulr-j/s ‘ ' ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

test2samplesols - (xﬁzqojti’iC(—5”:3...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online