{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

pracexam1 - Math 16A(Fall 2005 Kouba Exam 1 Please PRINT...

Info icon This preview shows pages 1–7. 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
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 16A (Fall 2005) Kouba Exam 1 Please PRINT your name here : ___________________________________________________________ Your HW/Exam ID Number ____________ 1. PLEASE DO NOT TURN THIS PAGE UNTIL TOLD TO DO SO. 2. IT IS A VIOLATION OF THE UNIVERSITY HONOR CODE TO, IN ANY WAY, ASSIST ANOTHER PERSON IN THE COMPLETION OF THIS EXAM. PLEASE KEEP YOUR OWN WORK COVERED UP AS MUCH AS POSSIBLE DURING THE EXAM SO THAT OTHERS WILL NOT BE TEMPTED OR DISTRACTED. THANK YOU FOR YOUR COOPERATION. 2. No notes, books, or classmates may be used as resources for this exam. YOU MAY USE A CALCULATOR ON THIS EXAM. 3. Read directions to each problem carefully Show all work for full credit. In most cases, a correct answer with no supporting work will NOT receive full credit. What you write down and how you write it are the most important means of your getting a good score on this exam. Neatness and organization are also important. 4. Make sure that you have 7 pages, including the cover page. You may NOT use L’Hopital’s Rule on this exam. You may NOT use shortcuts for finding limits to infinity. Using only a calculator to determine limits" Will receive little credit. You will be graded on proper use of limit notation. $0.0ch? You have until 10:50 a.m. sharp to finish the exam. 10. The following trigonometry identities are at your disposal : a.) sin20=2sin0cos€ b.) c0820 2 2coszl9 — 1 = 1 — 2sin20 : c0526 — sin20 1.) (9 pts. each) Determine the following limits. , , x2 — 9 a.) {21—121 m (HINT. Factor.) —- 2 b.) lim fl 22—)4 x — 4 (HINT: Use a conjugate.) 1 1 __ + — 0.) lim I—H—ti (HINT: Add fractions first.) a: 2 2 — d.) $11,120 fl (HINT: Divide by the highest power of x.) 2.) Consider the function f(x) = 7 — «x — 3. a.) (4 pts.) Determine the domain of f. b.) (4 pts.) Determine the range of f. :I:+2 15—1 3.) (8 pts.) Let f(:z:) = . Find a function g(:c) so that f(g($)) = :c . 4.) a.) (5 pts.) Write the three-step definition for the following statement : Function 3/ : f(:c) is continuous at :15 = a. , b.) (5 pts.) Use the definition in part a.) to determine if the following function is continuous at a: = 1. x2+3x—1, ifx<l f (:17) = 3 , if a: 2 1 «xv + 8 if x > 1 5.) (8 pts.) Solve the following trigonometry equation for 0 , 0 g 0 g 27r : 43in2 0 = 3 6.) (8 pts.) Use limits to find the equati0n(s) for all vertical asymptote(s) for 2 _ y : Lil . YOU NEED NOT GRAPH THE FUNCTION. (:1: + 1)(a: — 2) p 7.) (8 pts.) Find all points of intersection, (any), for the functions y : $2+5I3 and y = 2x2 — 2x + 2 . 8.) (8 pts.) The segment joining the points (1, 5) and (—2, 1) is the diameter of a circle. Determine an equation for this circle. 9.) (6 pts.) Evaluate the following limit : lim (IE + 11:2 + 4) (HINT: Start with a $—) —00 conjugate.) ' Each of the following EXTRA CREDIT PROBLEMS is worth 10 points. These problems. are OPTIONAL. 5 1.) Determine the domain for the following function : y : —————— 3 — m2 — 8x _ , 2 35" 2.) Evaluate the following limit : $51132 Eggl—g—JZE—x ...
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