{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

finsol - 1 Express the area of the region of the plane...

Info icon This preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
Image of page 3

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

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
Image of page 7

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

View Full Document Right Arrow Icon
Image of page 8
Image of page 9

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

View Full Document Right Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1. Express the area of the region of the plane bounded by the curves y=$3+2w2—4 and y=$3+$2—m+2 as a definite integral, but do not calculate it. X3+£X£Ll == XZXR’X‘LOZ .2 X +X~ér0 2. Find the absolute maximum and absolute minimum of fl?!) = (93 + 1W — 1W3 on the interval [0, 2]. r '1/ £06) 2 ['X 4}) 3 + (X + t)%/7<' J" I) 3. Set up, but do not evaluate, definite integrals for the volume of the solid obtained by rotating the portion of the first quarant bounded by the curve y m sin(a:2) and the axes in the manner indicated. (a) Rotate about the m—axis. (b) Rotate about the line 3; = —1. 4. Calculate the limits, using only techniques from Math 31A. 1:110 POWJZJ (a) £113: (I‘/11+_E__%) [[0 fowl—i3] (b) lim 25in2$+$2 sc—vO a: sin :1: {- '2 ,- U’”) / a .3.“ / i/w’m "2 ilk/\(TEHX i/iitnxhfl ; 4'17??? HEM-2‘ “X ”X — x. I f ~ 2 “fl 1:: “flux 7(qu Xx ‘317‘: _____._// mix“ & WM. 7,0“ I w KW” 76“”) )fi‘ ‘7[‘ 17 “LE :Q-r'l :3 :- Jum 3&4“ “F/H‘“ MK 5. Calculate the average of the following functions over the given intervals. ii/C’ rem-1L1] (a) f($)=sin3a:cosa: over [0,1T/2] 1D 0 [)0 i will] (b) f(:1:) = |2—:1:| over [1,4] TWA ! Llrflir-AZ r , . _ 1 (M is ng hazel/>0 chug/MM b Hal-:wCol—‘O " K - l 177:" ( . _ : 395?) ugckm “(‘41)" ”L4 a} 0 ‘ 3\ i bill “3%.! 33;: :Ffiu '0 7T Ly 9‘! (L) a~>< 52L ”753 7%)”: 70a ,L esxétf [4. L} ' ~31 r a) J/ ‘ J/ 8 er ‘—<%( 3 g [5%le 1" g (1‘; X69 + (1% if 6. Given the function 2 f(:r:)= $+3’ find the local maxima and minima and determine the intervals on which f (at) is concave up or down. 22x) 3 WWW : >2: m- : Mme) : j (Mff‘ (w-ffi ”my? Wait: PM}? 7C : 0/ XT*é / pm _: I LIX-réN/YvLfl/i 3:? 1+ éfi)[,.xrr?} (X+jf :_ 5119‘; 1,,ar‘%'+/2? w exit/M —: L51 5 “#777?” w 7. Evaluate the integrals. [70 [J 015711 J (a) ] $1/3 + 2332/3 dx [(0 IUD/”({1W-I 8. Find the equation of the tangent line to the graph of the function f(m)=[:2\/t3+1dti tun = Siltitf M : O L‘ a, 0 -: [fight—9‘) 10 9. A cylindrical container is to be constructed from metal alloys whose costs per square foot are $1 for the top, $4 for the bottom and $3 for the side. The volume of the container will be 200 cubic feet. Find the radius 7“ of the base and height h of the container for which the total cost of the metal alloys will be as low as possible. a 5 goo «q lira/LN :Tfrg‘l’i 1.1100 h : «7‘77 1— Daft — U) (Trll -+(‘f)(7fl»3) +(g)(a77;~ A) C (r) : gll‘l'a‘fiL é—lll’Vfi/E; 1A“) -3 a r _. «W (. 0t, eL/ CM fi/ent [20 Z? " NO 1.7 law {low V5-e:f , r L Qxeo L59)—y3 10. Prove that the equation F: has a solution, but do not attempt to find it. .A% if“) ,0 AAA 0\ 50 [LA/W <7 14A 11 ...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern