{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Final pages 1 and 3 - FINAL EXAMINATION MAT 2010 April 28...

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 icon This 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: FINAL EXAMINATION. MAT 2010 April 28. 2011 Write your solutions in a blue book. To receive fuil credit you must show all work. You are allowed to use an approved graphing calculator unless otherwise indicated. Simplify your answer when possible, but use the precise value rather than an approximation when you have a choice. (Example: If the actual answer is at, then write 71', not 3.14.) There are 15 problems worth a total of 200 points. The time limit is 2% hours. 1. (10 points) Use the definition of the derivative to differentiate the following function. f (33) = W» + 2 2. (7 points each) Find the exact value of each of the following limits. Write ”00," ”—00," or “does not exist" if appropriate. It is particularly important to show your work on this problem. (10393 a I'm «— ( ) 21—»0 sinm— 1 (b) Iim ace-7’ _ 111(93/3) (c) 21:13; 3: — 3 3. Differentiate the following functions. (a) (7 pointS) f0”) = fin; (b) (8 points) 9(3) 2 sin(4a:) (c) (7 points) Mm) = 51331113: (Cl) (5 points) m(a:) = f: 6'52 dt 4. (8 points each) Evaluate the following integrals. (a) / «5+ 3 1 — $2 2 (b) /2 x4+3$ d3; (c) ] eczema da; da: Version 1 10. (10 points) A car travels at the speed of 10+3t2 feet per second where t is time, measured in seconds. (a) What are the speeds at t = 1 and t = 3? (b) What is the average acceleration during this interval? (c) What is the instantaneous acceleration at t :2: 2? Express your answers in proper units. 11. (10 points) in a rectangle the length is increasing at 2 inches per minute, and the width is decreasing at 1 inch per minute. What is the rate of change of the length of the diagonal when the length is 20 inches and the width is 15 inches? 12. (10 points) The graph of the function f is shown below. The function g is defined by a: gas) =fo at) at, a s m s s. (3) Find 9(0). 9(2). 9(3). 9(6) and 9(3)- (b) Sketch the graph of 9 showing all local maxima and minima. ...
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