McCartin_Test_3_Fall_2002

McCartin_Test_3_Fall_2002 - MATH 101 TEST#3 Professor Brian...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 101 TEST #3 Professor Brian J. McCortz'n December 13, 2002* 1. (20 pts.) Boyle’s Law states that when a gas is compressed at a con— stant temperature, the pressure P and the volume V satisfy the equa" tion PV = C, Where C is a constant, Suppose that at a certain instant the volume is 600 cm3, the pressure is 180 kPo, and the pressure is increasing at a rate of 30 icPa/m'in. At what rate is the volume de- creasing at this instant? 2. (10 pts.) Find the linearization L(:I:) of fix) I oils at a z '3. 3. (10 pts.) Find the differential dy of y = coss: and evaluate rig for :c = air/6,0311: = 0.05. 4, (20 pts.) Find the points on the hyperbola y2 "11:2 = 25 that are closest to the point (5, O). 5. (10 pts.) Using the Mean Value Theorem, show that x/1—2$<1w$if0<$<1/2. 6. (15 pts.) Using l’Hopital‘s Rule, find , e3 — 1 11m _ . :HU Sins 7. (15 pts.) For flat) : 1:2an 0 Find the intervals on which f is increasing or decreasing. c Find the local maximum and minimum values of f. c Find the intervals of concsjvit}r and the inflection points. *WARNING: SHOW ALL WORK! E £55): M639“ 15H ”T€§+*$ giakuétmws h EAL 9 {Gt} “' “4* "‘ - 5-1:? ' ' ?m§ H5 Cow/+M ‘r‘oLKKlOO'D. =. m . . _ . . _._. __...._. . .. ..__.._... ...
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